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University of Colorado

1.
Kish, Jonathan.
Harmonic Analysis on the Positive Rationals: Multiplicative Functions and Exceptional *Dirichlet* * Characters*.

Degree: PhD, Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/27

► An improved estimate for multiplicative functions on arithmetic progressions is demonstrated, at the expense of potentially a uniformly bounded number of sums involving such…
(more)

Subjects/Keywords: Dirichlet characters; multiplicative functions; number theory; Mathematics

Record Details Similar Records

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

APA (6^{th} Edition):

Kish, J. (2013). Harmonic Analysis on the Positive Rationals: Multiplicative Functions and Exceptional Dirichlet Characters. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/27

Chicago Manual of Style (16^{th} Edition):

Kish, Jonathan. “Harmonic Analysis on the Positive Rationals: Multiplicative Functions and Exceptional Dirichlet Characters.” 2013. Doctoral Dissertation, University of Colorado. Accessed July 10, 2020. https://scholar.colorado.edu/math_gradetds/27.

MLA Handbook (7^{th} Edition):

Kish, Jonathan. “Harmonic Analysis on the Positive Rationals: Multiplicative Functions and Exceptional Dirichlet Characters.” 2013. Web. 10 Jul 2020.

Vancouver:

Kish J. Harmonic Analysis on the Positive Rationals: Multiplicative Functions and Exceptional Dirichlet Characters. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2020 Jul 10]. Available from: https://scholar.colorado.edu/math_gradetds/27.

Council of Science Editors:

Kish J. Harmonic Analysis on the Positive Rationals: Multiplicative Functions and Exceptional Dirichlet Characters. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/math_gradetds/27

University of Waterloo

2.
Alderson, Matthew.
Integral Moments of Quadratic *Dirichlet* L-functions: A Computational Perspective.

Degree: 2010, University of Waterloo

URL: http://hdl.handle.net/10012/5085

► In recent years, the moments of L-functions has been a topic of growing interest in the field of analytic number theory. New techniques, including applications…
(more)

Subjects/Keywords: integral moments; quadratic Dirichlet L-functions; quadratic Dirichlet characters; Dedekind zeta function

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

APA (6^{th} Edition):

Alderson, M. (2010). Integral Moments of Quadratic Dirichlet L-functions: A Computational Perspective. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/5085

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):

Alderson, Matthew. “Integral Moments of Quadratic Dirichlet L-functions: A Computational Perspective.” 2010. Thesis, University of Waterloo. Accessed July 10, 2020. http://hdl.handle.net/10012/5085.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Alderson, Matthew. “Integral Moments of Quadratic Dirichlet L-functions: A Computational Perspective.” 2010. Web. 10 Jul 2020.

Vancouver:

Alderson M. Integral Moments of Quadratic Dirichlet L-functions: A Computational Perspective. [Internet] [Thesis]. University of Waterloo; 2010. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/10012/5085.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Alderson M. Integral Moments of Quadratic Dirichlet L-functions: A Computational Perspective. [Thesis]. University of Waterloo; 2010. Available from: http://hdl.handle.net/10012/5085

Not specified: Masters Thesis or Doctoral Dissertation

3. Munsch, Marc. Moments des fonctions thêta : Moments of theta functions.

Degree: Docteur es, Mathématiques, 2013, Aix Marseille Université

URL: http://www.theses.fr/2013AIXM4093

►

On s’intéresse dans cette thèse à l’étude des fonctions thêta intervenant dans la preuve de l’équation fonctionnelle des fonctions L de *Dirichlet*. En particulier, on…
(more)

Subjects/Keywords: Théorie analytique des nombres; Non-annulation; Res de Dirichlet; Transformée de Mellin; Fonctions L de Dirichlet; Analytic number theory; Non-vanishing; Dirichlet characters; Mellin transform; Dirichlet L-functions; 510

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

APA (6^{th} Edition):

Munsch, M. (2013). Moments des fonctions thêta : Moments of theta functions. (Doctoral Dissertation). Aix Marseille Université. Retrieved from http://www.theses.fr/2013AIXM4093

Chicago Manual of Style (16^{th} Edition):

Munsch, Marc. “Moments des fonctions thêta : Moments of theta functions.” 2013. Doctoral Dissertation, Aix Marseille Université. Accessed July 10, 2020. http://www.theses.fr/2013AIXM4093.

MLA Handbook (7^{th} Edition):

Munsch, Marc. “Moments des fonctions thêta : Moments of theta functions.” 2013. Web. 10 Jul 2020.

Vancouver:

Munsch M. Moments des fonctions thêta : Moments of theta functions. [Internet] [Doctoral dissertation]. Aix Marseille Université 2013. [cited 2020 Jul 10]. Available from: http://www.theses.fr/2013AIXM4093.

Council of Science Editors:

Munsch M. Moments des fonctions thêta : Moments of theta functions. [Doctoral Dissertation]. Aix Marseille Université 2013. Available from: http://www.theses.fr/2013AIXM4093

University of California – Riverside

4. Castro, Kyle. Multiplicative Character Sums and the Applications to Problems in Analytic Number Theory.

Degree: Mathematics, 2017, University of California – Riverside

URL: http://www.escholarship.org/uc/item/1nr8k0nm

► In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodulo composite integers. The results found here are primarily upper bounds on…
(more)

Subjects/Keywords: Mathematics; Analytic Number Theory; Dirichlet Characters; Multiplicative Character Sums; Polynomial Images of Intervals

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

APA (6^{th} Edition):

Castro, K. (2017). Multiplicative Character Sums and the Applications to Problems in Analytic Number Theory. (Thesis). University of California – Riverside. Retrieved from http://www.escholarship.org/uc/item/1nr8k0nm

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Castro, Kyle. “Multiplicative Character Sums and the Applications to Problems in Analytic Number Theory.” 2017. Thesis, University of California – Riverside. Accessed July 10, 2020. http://www.escholarship.org/uc/item/1nr8k0nm.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Castro, Kyle. “Multiplicative Character Sums and the Applications to Problems in Analytic Number Theory.” 2017. Web. 10 Jul 2020.

Vancouver:

Castro K. Multiplicative Character Sums and the Applications to Problems in Analytic Number Theory. [Internet] [Thesis]. University of California – Riverside; 2017. [cited 2020 Jul 10]. Available from: http://www.escholarship.org/uc/item/1nr8k0nm.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Castro K. Multiplicative Character Sums and the Applications to Problems in Analytic Number Theory. [Thesis]. University of California – Riverside; 2017. Available from: http://www.escholarship.org/uc/item/1nr8k0nm

Not specified: Masters Thesis or Doctoral Dissertation

University of Toronto

5. Mangerel, Alexander. Topics in Multiplicative and Probabilistic Number Theory.

Degree: PhD, 2018, University of Toronto

URL: http://hdl.handle.net/1807/92056

► A heuristic in analytic number theory stipulates that sets of positive integers cannot simultaneously be additively and multiplicatively structured. The practical verification of this heuristic…
(more)

Subjects/Keywords: Correlations; Dirichlet Characters; Mean Value Theorems; Multiplicative Functions; Probabilistic Number Theory; 0405

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

APA (6^{th} Edition):

Mangerel, A. (2018). Topics in Multiplicative and Probabilistic Number Theory. (Doctoral Dissertation). University of Toronto. Retrieved from http://hdl.handle.net/1807/92056

Chicago Manual of Style (16^{th} Edition):

Mangerel, Alexander. “Topics in Multiplicative and Probabilistic Number Theory.” 2018. Doctoral Dissertation, University of Toronto. Accessed July 10, 2020. http://hdl.handle.net/1807/92056.

MLA Handbook (7^{th} Edition):

Mangerel, Alexander. “Topics in Multiplicative and Probabilistic Number Theory.” 2018. Web. 10 Jul 2020.

Vancouver:

Mangerel A. Topics in Multiplicative and Probabilistic Number Theory. [Internet] [Doctoral dissertation]. University of Toronto; 2018. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/1807/92056.

Council of Science Editors:

Mangerel A. Topics in Multiplicative and Probabilistic Number Theory. [Doctoral Dissertation]. University of Toronto; 2018. Available from: http://hdl.handle.net/1807/92056

Kansas State University

6. Alsulmi, Badria. Generalized Jacobi sums modulo prime powers.

Degree: PhD, Department of Mathematics, 2016, Kansas State University

URL: http://hdl.handle.net/2097/32668

Subjects/Keywords: Jacobi sums; Gauss sums; Exponential sums; Dirichlet characters

Record Details Similar Records

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

APA (6^{th} Edition):

Alsulmi, B. (2016). Generalized Jacobi sums modulo prime powers. (Doctoral Dissertation). Kansas State University. Retrieved from http://hdl.handle.net/2097/32668

Chicago Manual of Style (16^{th} Edition):

Alsulmi, Badria. “Generalized Jacobi sums modulo prime powers.” 2016. Doctoral Dissertation, Kansas State University. Accessed July 10, 2020. http://hdl.handle.net/2097/32668.

MLA Handbook (7^{th} Edition):

Alsulmi, Badria. “Generalized Jacobi sums modulo prime powers.” 2016. Web. 10 Jul 2020.

Vancouver:

Alsulmi B. Generalized Jacobi sums modulo prime powers. [Internet] [Doctoral dissertation]. Kansas State University; 2016. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/2097/32668.

Council of Science Editors:

Alsulmi B. Generalized Jacobi sums modulo prime powers. [Doctoral Dissertation]. Kansas State University; 2016. Available from: http://hdl.handle.net/2097/32668

7. Rivera Montes De Oca, Jose Manuel. Fourier Analysis on Finite Groups.

Degree: MS, Mathematics, 2017, Texas A&M University

URL: http://hdl.handle.net/1969.1/165776

► We start with some Fourier analysis on cyclic groups as the base case. This theory comes along with some basic notions about character theory. So,…
(more)

Subjects/Keywords: Fourier; finite; abelian; groups; characters; Dirichlet; Gauss; sum

…result of this work is to define *Dirichlet*
*characters* and look at their relation with Fourier… …we will call multiplicative *characters* and the old additive
*characters*.
4.1 *Dirichlet*… …trivial character is called the principal character.
The idea of this *Dirichlet* *characters* is to… …details). For any χ, χ1 , χ2
*Dirichlet* *characters* modulo q and a, b ∈ Z/qZ∗ , we can write… …*characters* of different moduli too.
Proposition 4.2. Let χ1 ,χ2 be *Dirichlet* *characters* modulo q1…

Record Details Similar Records

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

APA (6^{th} Edition):

Rivera Montes De Oca, J. M. (2017). Fourier Analysis on Finite Groups. (Masters Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/165776

Chicago Manual of Style (16^{th} Edition):

Rivera Montes De Oca, Jose Manuel. “Fourier Analysis on Finite Groups.” 2017. Masters Thesis, Texas A&M University. Accessed July 10, 2020. http://hdl.handle.net/1969.1/165776.

MLA Handbook (7^{th} Edition):

Rivera Montes De Oca, Jose Manuel. “Fourier Analysis on Finite Groups.” 2017. Web. 10 Jul 2020.

Vancouver:

Rivera Montes De Oca JM. Fourier Analysis on Finite Groups. [Internet] [Masters thesis]. Texas A&M University; 2017. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/1969.1/165776.

Council of Science Editors:

Rivera Montes De Oca JM. Fourier Analysis on Finite Groups. [Masters Thesis]. Texas A&M University; 2017. Available from: http://hdl.handle.net/1969.1/165776