subject:(generating series)

University of Georgia

1. Cao, Huantian. AutoGF : an automated system to calculate coefficients of generating functions.

Degree: 2014, University of Georgia

URL: http://hdl.handle.net/10724/20510

► AutoGF, an automated system to calculate coefficients of generating functions, is developed in this thesis. The algorithms for power series manipulations such as addition, substraction,… (more)

Subjects/Keywords: Generating Function; Exponential Generating Function; Power Series; Graph Enumeration; Integer Partitions; Python

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APA (6^th Edition):

Cao, H. (2014). AutoGF : an automated system to calculate coefficients of generating functions. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/20510

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Cao, Huantian. “AutoGF : an automated system to calculate coefficients of generating functions.” 2014. Thesis, University of Georgia. Accessed January 15, 2021. http://hdl.handle.net/10724/20510.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Cao, Huantian. “AutoGF : an automated system to calculate coefficients of generating functions.” 2014. Web. 15 Jan 2021.

Vancouver:

Cao H. AutoGF : an automated system to calculate coefficients of generating functions. [Internet] [Thesis]. University of Georgia; 2014. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/10724/20510.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Cao H. AutoGF : an automated system to calculate coefficients of generating functions. [Thesis]. University of Georgia; 2014. Available from: http://hdl.handle.net/10724/20510

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

NSYSU

2. Guo, Shu-Fen. Sequence and Series Problems of High School Mathematics Teacher Recruitment Exams in Taiwan.

Degree: Master, Applied Mathematics, 2016, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0517116-103322

► This study investigates selected sequence and series problems of high school mathematics teacher recruitment exam in Taiwan from 2008 to 2015. Each topics begins with… (more)

Subjects/Keywords: recursive relations; Mobius sequence; sequence; series; arithmetico-geometric series; generating functions; telescoping series

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APA (6^th Edition):

Guo, S. (2016). Sequence and Series Problems of High School Mathematics Teacher Recruitment Exams in Taiwan. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0517116-103322

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Guo, Shu-Fen. “Sequence and Series Problems of High School Mathematics Teacher Recruitment Exams in Taiwan.” 2016. Thesis, NSYSU. Accessed January 15, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0517116-103322.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Guo, Shu-Fen. “Sequence and Series Problems of High School Mathematics Teacher Recruitment Exams in Taiwan.” 2016. Web. 15 Jan 2021.

Vancouver:

Guo S. Sequence and Series Problems of High School Mathematics Teacher Recruitment Exams in Taiwan. [Internet] [Thesis]. NSYSU; 2016. [cited 2021 Jan 15]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0517116-103322.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Guo S. Sequence and Series Problems of High School Mathematics Teacher Recruitment Exams in Taiwan. [Thesis]. NSYSU; 2016. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0517116-103322

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Waterloo

3. Shuldiner, Pavel. Computing the Residue Class of Partition Numbers.

Degree: 2016, University of Waterloo

URL: http://hdl.handle.net/10012/10838

► In 1919, Ramanujan initiated the study of congruence properties of the integer partition function p(n) by showing that p(5n+4) ≡ 0 \mod{5} and p(7n+5) ≡… (more)

Subjects/Keywords: partitions; integer partitions; enumerative combinatorics; generating series; Ramanujan congruences

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APA (6^th Edition):

Shuldiner, P. (2016). Computing the Residue Class of Partition Numbers. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/10838

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Shuldiner, Pavel. “Computing the Residue Class of Partition Numbers.” 2016. Thesis, University of Waterloo. Accessed January 15, 2021. http://hdl.handle.net/10012/10838.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Shuldiner, Pavel. “Computing the Residue Class of Partition Numbers.” 2016. Web. 15 Jan 2021.

Vancouver:

Shuldiner P. Computing the Residue Class of Partition Numbers. [Internet] [Thesis]. University of Waterloo; 2016. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/10012/10838.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Shuldiner P. Computing the Residue Class of Partition Numbers. [Thesis]. University of Waterloo; 2016. Available from: http://hdl.handle.net/10012/10838

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

4. Bin-Saad, Maged Juman Awadh. Generatiing relations and transformations of multiple gaussian hypergeometric series; -.

Degree: Mathematics, 2000, Aligarh Muslim University

URL: http://shodhganga.inflibnet.ac.in/handle/10603/52232

Abstract available newline newline

Bibliography p. 132-139, Appendix p. 140-140

Advisors/Committee Members: Pathan, M A.

Subjects/Keywords: Generating Relations; Transformations; Multiple Gaussian Hypergeometric Series

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APA (6^th Edition):

Bin-Saad, M. J. A. (2000). Generatiing relations and transformations of multiple gaussian hypergeometric series; -. (Thesis). Aligarh Muslim University. Retrieved from http://shodhganga.inflibnet.ac.in/handle/10603/52232

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Bin-Saad, Maged Juman Awadh. “Generatiing relations and transformations of multiple gaussian hypergeometric series; -.” 2000. Thesis, Aligarh Muslim University. Accessed January 15, 2021. http://shodhganga.inflibnet.ac.in/handle/10603/52232.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Bin-Saad, Maged Juman Awadh. “Generatiing relations and transformations of multiple gaussian hypergeometric series; -.” 2000. Web. 15 Jan 2021.

Vancouver:

Bin-Saad MJA. Generatiing relations and transformations of multiple gaussian hypergeometric series; -. [Internet] [Thesis]. Aligarh Muslim University; 2000. [cited 2021 Jan 15]. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/52232.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bin-Saad MJA. Generatiing relations and transformations of multiple gaussian hypergeometric series; -. [Thesis]. Aligarh Muslim University; 2000. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/52232

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Waterloo

5. Rattan, Amarpreet. Character Polynomials and Lagrange Inversion.

Degree: 2005, University of Waterloo

URL: http://hdl.handle.net/10012/1029

► In this thesis, we investigate two expressions for symmetric group characters: Kerov?s universal character polynomials and Stanley?s character polynomials. We give a new explicit form… (more)

Subjects/Keywords: Mathematics; representation theory; algebra; lagrange inversion; polynomials; generating series

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APA (6^th Edition):

Rattan, A. (2005). Character Polynomials and Lagrange Inversion. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/1029

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Rattan, Amarpreet. “Character Polynomials and Lagrange Inversion.” 2005. Thesis, University of Waterloo. Accessed January 15, 2021. http://hdl.handle.net/10012/1029.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Rattan, Amarpreet. “Character Polynomials and Lagrange Inversion.” 2005. Web. 15 Jan 2021.

Vancouver:

Rattan A. Character Polynomials and Lagrange Inversion. [Internet] [Thesis]. University of Waterloo; 2005. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/10012/1029.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Rattan A. Character Polynomials and Lagrange Inversion. [Thesis]. University of Waterloo; 2005. Available from: http://hdl.handle.net/10012/1029

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Waterloo

6. Yip, Martha. Genus one partitions.

Degree: 2006, University of Waterloo

URL: http://hdl.handle.net/10012/2933

► We obtain a tight upper bound for the genus of a partition, and calculate the number of partitions of maximal genus. The generating series for… (more)

Subjects/Keywords: Mathematics; partition; genus; permutation; hypermonopole; generating series; poset; rank-symmetric; symmetric chain order

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APA (6^th Edition):

Yip, M. (2006). Genus one partitions. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/2933

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Yip, Martha. “Genus one partitions.” 2006. Thesis, University of Waterloo. Accessed January 15, 2021. http://hdl.handle.net/10012/2933.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Yip, Martha. “Genus one partitions.” 2006. Web. 15 Jan 2021.

Vancouver:

Yip M. Genus one partitions. [Internet] [Thesis]. University of Waterloo; 2006. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/10012/2933.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Yip M. Genus one partitions. [Thesis]. University of Waterloo; 2006. Available from: http://hdl.handle.net/10012/2933

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

7. Aghababa, Hajar. Nonlinear Analysis and Dynamic Structure in the Energy Market.

Degree: PhD, Economics, 2012, University of Kansas

URL: http://hdl.handle.net/1808/10829

► This research assesses the dynamic structure of the energy sector of the aggregate economy in the context of nonlinear mechanisms. Earlier studies have focused mainly… (more)

▼ This research assesses the dynamic structure of the energy sector of the aggregate economy in the context of nonlinear mechanisms. Earlier studies have focused mainly on the price of the energy products when detecting nonlinearities in time series data of the energy market, and there is little mention of the production side of the market. Moreover, there is a lack of exploration about the implication of high dimensionality and time aggregation when analyzing the market's fundamentals. This research will address these gaps by including the quantity side of the market in addition to the price and by systematically incorporating various frequencies for sample sizes in three essays. The goal of this research is to provide an inclusive and exhaustive examination of the dynamics in the energy markets. The first essay begins with the application of statistical techniques, and it incorporates the most well-known univariate tests for nonlinearity with distinct power functions over alternatives and tests different null hypotheses. It utilizes the daily spot price observations on five major products in the energy market. The results suggest that the time series daily spot prices of the energy products are highly nonlinear in their nature. They demonstrate apparent evidence of general nonlinear serial dependence in each individual series, as well as nonlinearity in the first, second, and third moments of the series. The second essay examines the underlying mechanism of crude oil production and identifies the nonlinear structure of the production market by utilizing various monthly time series observations of crude oil production: the U.S. field, Organization of the Petroleum Exporting Countries (OPEC), non-OPEC, and the world production of crude oil. The finding implies that the time series data of the U.S. field, OPEC, and the world production of crude oil exhibit deep nonlinearity in their structure and are generated by nonlinear mechanisms. However, the dynamics of the non-OPEC production time series data does not reveal signs of nonlinearity. The third essay explores nonlinear structure in the case of high dimensionality of the observations, different frequencies of sample sizes, and division of the samples into sub-samples. It systematically examines the robustness of the inference methods at various levels of time aggregation by employing daily spot prices on crude oil for 26 years as well as monthly spot price index on crude oil for 41 years. The daily and monthly samples are divided into sub-samples as well. All the tests detect strong evidence of nonlinear structure in the daily spot price of crude oil; whereas in monthly observations the evidence of nonlinear dependence is less dramatic, indicating that the nonlinear serial dependence will not be as intense when the time aggregation increase in time series observations. Advisors/Committee Members: Barnett, William A. (advisor), Juhl, Ted (cmtemember), Wu, Shu (cmtemember), Keating, John (cmtemember), Pasik-Duncan, Bozenna (cmtemember).

Subjects/Keywords: Economics; Data generating mechanisnm; Energy market; Nonlinear; Time series

…data generating mechanisms. The essay also examines the crude oil production 3 time series… …assess the existence of nonlinear structures in the time series data generating mechanism of… …reasonably close to the data generating mechanism, and to examine whether the time series… …generating mechanism of observed time series of the five main energy products and assess the… …Market and its Impact on the Aggregate Economy . . . . 15 2.3.2 Empirical Time Series…

10 more images…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Aghababa, H. (2012). Nonlinear Analysis and Dynamic Structure in the Energy Market. (Doctoral Dissertation). University of Kansas. Retrieved from http://hdl.handle.net/1808/10829

Chicago Manual of Style (16^th Edition):

Aghababa, Hajar. “Nonlinear Analysis and Dynamic Structure in the Energy Market.” 2012. Doctoral Dissertation, University of Kansas. Accessed January 15, 2021. http://hdl.handle.net/1808/10829.

MLA Handbook (7^th Edition):

Aghababa, Hajar. “Nonlinear Analysis and Dynamic Structure in the Energy Market.” 2012. Web. 15 Jan 2021.

Vancouver:

Aghababa H. Nonlinear Analysis and Dynamic Structure in the Energy Market. [Internet] [Doctoral dissertation]. University of Kansas; 2012. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/1808/10829.

Council of Science Editors:

Aghababa H. Nonlinear Analysis and Dynamic Structure in the Energy Market. [Doctoral Dissertation]. University of Kansas; 2012. Available from: http://hdl.handle.net/1808/10829

University of Texas – Austin

8. Mainiero, Thomas Joseph. Beyond wild walls there is algebraicity and exponential growth (of BPS indices).

Degree: PhD, Physics, 2015, University of Texas – Austin

URL: http://hdl.handle.net/2152/31637

► The BPS spectrum of pure SU(3) four-dimensional super Yang-Mills with N=2 supersymmetry (a theory of class S(A)) exhibits a surprising phenomenon: there are regions of… (more)

Subjects/Keywords: N=2 supersymmetry; BPS-indices; Donaldson-Thomas invariants; Theories of class s; SU(3) super yang mills; Kontsevich and Soibelman wall crossing formula; Wild wall crossing; Spectral networks; Algebraic generating series; Exponential degeneracy; Asymptotics of BPS-indices

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APA (6^th Edition):

Mainiero, T. J. (2015). Beyond wild walls there is algebraicity and exponential growth (of BPS indices). (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/31637

Chicago Manual of Style (16^th Edition):

Mainiero, Thomas Joseph. “Beyond wild walls there is algebraicity and exponential growth (of BPS indices).” 2015. Doctoral Dissertation, University of Texas – Austin. Accessed January 15, 2021. http://hdl.handle.net/2152/31637.

MLA Handbook (7^th Edition):

Mainiero, Thomas Joseph. “Beyond wild walls there is algebraicity and exponential growth (of BPS indices).” 2015. Web. 15 Jan 2021.

Vancouver:

Mainiero TJ. Beyond wild walls there is algebraicity and exponential growth (of BPS indices). [Internet] [Doctoral dissertation]. University of Texas – Austin; 2015. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/2152/31637.

Council of Science Editors:

Mainiero TJ. Beyond wild walls there is algebraicity and exponential growth (of BPS indices). [Doctoral Dissertation]. University of Texas – Austin; 2015. Available from: http://hdl.handle.net/2152/31637

9. Perkins, Rudolph Bronson. On Special Values of Pellarin’s L-series.

Degree: PhD, Mathematics, 2013, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1383827548

► We consider various methods for explicitly computing the special values of Pellarin’s L-series in several indeterminates, both at the positive integers and negative integers. Our… (more)

▼ We consider various methods for explicitly computing the special values of Pellarin’s L-series in several indeterminates, both at the positive integers and negative integers. Our premier result is the explicit calculation, in terms of the Goss-Carlitz zeta values, of the rational functions appearing in the paper by Pellarin in which these L-series were first introduced, as well as an explicit generalization of his result to at most q indeterminates. We draw applications to new divisibility results for the numerators of the Bernoulli-Carlitz numbers by degree one irreducible polynomials and to explicit generating series and recursive relations for Pellarin’s series. On the negative integers side, we deepen some work of Goss on the special polynomials associated to Pellarin’s series. In particular, we show that when certain parameters are fixed, the logarithmic growth in the degrees of the aforementioned special polynomials that is common in this area holds in great generality. We study the natural action of Goss’ group of digit permutations on a sub-class of these special polynomials and show that their degrees are an invariant of the action of Goss’ group. Finally, we include a computation of the coefficients of the measure whose moments are the special polynomials associated to Pellarin’s L-series in one indeterminate. The Wagner series for Pellarin’s evaluation character will play a central role in nearly all of the results of this dissertation. We will show that the Wagner series for Pellarin’s evaluation character, an object arising in the study of the completions of our ring of integers at the finite places, will also have meaning at the infinite place. In fact, at the infinite place, this Wagner series is none other than Anderson’s generating function for the Carlitz module, and we shall see that Pellarin’s L-series, the Wagner series for Pellarin’s character and Anderson’s generating function are inextricably tied Advisors/Committee Members: Goss, David (Advisor).

Subjects/Keywords: Mathematics; Pellarin, Carlitz module, special values of L-series, special values of zeta functions, explicit formulas, Bernoulli-Carlitz numbers, positive characteristic, Anderson generating function

…Generating Function . . . . . . . . . . . . . . . . . 1.6.1 The Wagner Series for χt and the… …generating series relation, z := eC (z) Remark 1.1.15. Since BC(k) k≥0 zk . � … …series and some well known results about them due to Carlitz. 1.2.1 Generating series for the… …Generating Function Theorem 1.6.3 shows that the formal series Ξt (z) := bi (t… …Presidential Fellow, The Ohio State University PUBLICATIONS R. B. Perkins, On Pellarin’s L-series…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Perkins, R. B. (2013). On Special Values of Pellarin’s L-series. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1383827548

Chicago Manual of Style (16^th Edition):

Perkins, Rudolph Bronson. “On Special Values of Pellarin’s L-series.” 2013. Doctoral Dissertation, The Ohio State University. Accessed January 15, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=osu1383827548.

MLA Handbook (7^th Edition):

Perkins, Rudolph Bronson. “On Special Values of Pellarin’s L-series.” 2013. Web. 15 Jan 2021.

Vancouver:

Perkins RB. On Special Values of Pellarin’s L-series. [Internet] [Doctoral dissertation]. The Ohio State University; 2013. [cited 2021 Jan 15]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1383827548.

Council of Science Editors:

Perkins RB. On Special Values of Pellarin’s L-series. [Doctoral Dissertation]. The Ohio State University; 2013. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1383827548

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