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University of Melbourne

1.
FLANDER, MAX.
A theta operator for *Siegel* *modular* *forms* (mod p).

Degree: 2013, University of Melbourne

URL: http://hdl.handle.net/11343/39735

► In a 1977 article, Katz uses algebraic-geometric techniques to define a linear derivation on the ring of *modular* *forms* (mod p). After reviewing the corresponding…
(more)

Subjects/Keywords: number theory; arithmetic geometry; Siegel modular forms

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APA (6^{th} Edition):

FLANDER, M. (2013). A theta operator for Siegel modular forms (mod p). (Doctoral Dissertation). University of Melbourne. Retrieved from http://hdl.handle.net/11343/39735

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

FLANDER, MAX. “A theta operator for Siegel modular forms (mod p).” 2013. Doctoral Dissertation, University of Melbourne. Accessed July 15, 2020. http://hdl.handle.net/11343/39735.

MLA Handbook (7^{th} Edition):

FLANDER, MAX. “A theta operator for Siegel modular forms (mod p).” 2013. Web. 15 Jul 2020.

Vancouver:

FLANDER M. A theta operator for Siegel modular forms (mod p). [Internet] [Doctoral dissertation]. University of Melbourne; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/11343/39735.

Council of Science Editors:

FLANDER M. A theta operator for Siegel modular forms (mod p). [Doctoral Dissertation]. University of Melbourne; 2013. Available from: http://hdl.handle.net/11343/39735

University of Melbourne

2.
McAndrew, Angus William.
Galois representations and theta operators for *Siegel* *modular* * forms*.

Degree: 2015, University of Melbourne

URL: http://hdl.handle.net/11343/57014

► *Modular* *forms* are powerful number theoretic objects, having attracted much study and attention for the last 200 years. In the modern area, one of their…
(more)

Subjects/Keywords: number theory; representation theory; algebraic geometry; Galois representations; modular forms; Siegel modular forms; Serre's conjecture

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APA (6^{th} Edition):

McAndrew, A. W. (2015). Galois representations and theta operators for Siegel modular forms. (Masters Thesis). University of Melbourne. Retrieved from http://hdl.handle.net/11343/57014

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

McAndrew, Angus William. “Galois representations and theta operators for Siegel modular forms.” 2015. Masters Thesis, University of Melbourne. Accessed July 15, 2020. http://hdl.handle.net/11343/57014.

MLA Handbook (7^{th} Edition):

McAndrew, Angus William. “Galois representations and theta operators for Siegel modular forms.” 2015. Web. 15 Jul 2020.

Vancouver:

McAndrew AW. Galois representations and theta operators for Siegel modular forms. [Internet] [Masters thesis]. University of Melbourne; 2015. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/11343/57014.

Council of Science Editors:

McAndrew AW. Galois representations and theta operators for Siegel modular forms. [Masters Thesis]. University of Melbourne; 2015. Available from: http://hdl.handle.net/11343/57014

University of Toronto

3.
Tehrani, Shervin Shahrokhi.
Non-holomorphic Cuspidal Automorphic *Forms* of GSp(4;A) and the Hodge Structure of *Siegel* Threefolds.

Degree: 2012, University of Toronto

URL: http://hdl.handle.net/1807/34915

►

Let V( ) denote a local system of weight on X = A2;n(C), where X is the moduli space of principle polarized abelian varieties of… (more)

Subjects/Keywords: Theta lifting; Siegel modular forms; Local theory; 0405

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APA (6^{th} Edition):

Tehrani, S. S. (2012). Non-holomorphic Cuspidal Automorphic Forms of GSp(4;A) and the Hodge Structure of Siegel Threefolds. (Doctoral Dissertation). University of Toronto. Retrieved from http://hdl.handle.net/1807/34915

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

Tehrani, Shervin Shahrokhi. “Non-holomorphic Cuspidal Automorphic Forms of GSp(4;A) and the Hodge Structure of Siegel Threefolds.” 2012. Doctoral Dissertation, University of Toronto. Accessed July 15, 2020. http://hdl.handle.net/1807/34915.

MLA Handbook (7^{th} Edition):

Tehrani, Shervin Shahrokhi. “Non-holomorphic Cuspidal Automorphic Forms of GSp(4;A) and the Hodge Structure of Siegel Threefolds.” 2012. Web. 15 Jul 2020.

Vancouver:

Tehrani SS. Non-holomorphic Cuspidal Automorphic Forms of GSp(4;A) and the Hodge Structure of Siegel Threefolds. [Internet] [Doctoral dissertation]. University of Toronto; 2012. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/1807/34915.

Council of Science Editors:

Tehrani SS. Non-holomorphic Cuspidal Automorphic Forms of GSp(4;A) and the Hodge Structure of Siegel Threefolds. [Doctoral Dissertation]. University of Toronto; 2012. Available from: http://hdl.handle.net/1807/34915

4.
Robinson, Christine A.
On *Siegel* Maass Wave *Forms* of Weight 0.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/9982

► Progress has been made toward a Saito-Kurokawa lift, including a non-holomorphic Shimura lift and a lift from the non-holomorphic analogue of the Kohnen plus space…
(more)

Subjects/Keywords: number theory; automorphic forms; Siegel modular forms

…illustrates the relationships between
these spaces.
*Siegel* *modular* *forms*
of degree 2
Maass lift… …*Siegel* *modular* *forms*. The holomorphicity of *Siegel* *modular* *forms* is replaced by
the requirement… …HOLOMORPHIC THEORY
2.1
*Siegel* *modular* *forms*
What we now call *Siegel* *modular* *forms* were developed… …by C.L. *Siegel* in the 1930s, as
a higher degree generalization of elliptic *modular* *forms*… …principle for quadratic *forms* over Q. *Siegel*
*modular* *forms* represent one of the most important…

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

APA (6^{th} Edition):

Robinson, C. A. (2013). On Siegel Maass Wave Forms of Weight 0. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9982

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):

Robinson, Christine A. “On Siegel Maass Wave Forms of Weight 0.” 2013. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/9982.

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

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Robinson, Christine A. “On Siegel Maass Wave Forms of Weight 0.” 2013. Web. 15 Jul 2020.

Vancouver:

Robinson CA. On Siegel Maass Wave Forms of Weight 0. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/9982.

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

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Robinson CA. On Siegel Maass Wave Forms of Weight 0. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/9982

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Urbana-Champaign

5.
Dewar, Michael P.
Congruences in *modular*, Jacobi, *Siegel*, and mock *modular* *forms* with applications.

Degree: PhD, 0439, 2010, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/16054

► We study congruences in the coefficients of *modular* and other automorphic *forms*. Ramanujan famously found congruences for the partition function like p(5n+4) = 0 mod…
(more)

Subjects/Keywords: Ramanujan congruences; Tate cycle; heat cycle; Fourier coefficients; Modular forms; reduced modular forms; Jacobi forms; Siegel modular forms

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

APA (6^{th} Edition):

Dewar, M. P. (2010). Congruences in modular, Jacobi, Siegel, and mock modular forms with applications. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/16054

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

Dewar, Michael P. “Congruences in modular, Jacobi, Siegel, and mock modular forms with applications.” 2010. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 15, 2020. http://hdl.handle.net/2142/16054.

MLA Handbook (7^{th} Edition):

Dewar, Michael P. “Congruences in modular, Jacobi, Siegel, and mock modular forms with applications.” 2010. Web. 15 Jul 2020.

Vancouver:

Dewar MP. Congruences in modular, Jacobi, Siegel, and mock modular forms with applications. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2010. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/2142/16054.

Council of Science Editors:

Dewar MP. Congruences in modular, Jacobi, Siegel, and mock modular forms with applications. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2010. Available from: http://hdl.handle.net/2142/16054

University of Michigan

6. Agarwal, Mahesh K. p-adic L-functions for GSp(4) x GL (2).

Degree: PhD, Mathematics, 2007, University of Michigan

URL: http://hdl.handle.net/2027.42/57644

► Let p be an odd prime. In this thesis we construct a p-adic analog of a degree eight L-function L(s,Fxf) where F is an ordinary…
(more)

Subjects/Keywords: P-adic L-function; Siegel Modular Forms; Pullback; Interpolate; Mathematics; Science

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

APA (6^{th} Edition):

Agarwal, M. K. (2007). p-adic L-functions for GSp(4) x GL (2). (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/57644

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

Agarwal, Mahesh K. “p-adic L-functions for GSp(4) x GL (2).” 2007. Doctoral Dissertation, University of Michigan. Accessed July 15, 2020. http://hdl.handle.net/2027.42/57644.

MLA Handbook (7^{th} Edition):

Agarwal, Mahesh K. “p-adic L-functions for GSp(4) x GL (2).” 2007. Web. 15 Jul 2020.

Vancouver:

Agarwal MK. p-adic L-functions for GSp(4) x GL (2). [Internet] [Doctoral dissertation]. University of Michigan; 2007. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/2027.42/57644.

Council of Science Editors:

Agarwal MK. p-adic L-functions for GSp(4) x GL (2). [Doctoral Dissertation]. University of Michigan; 2007. Available from: http://hdl.handle.net/2027.42/57644

7.
Keaton, Rodney.
Level stripping of genus 2 *Siegel* *modular* * forms*.

Degree: PhD, Mathematical Science, 2014, Clemson University

URL: https://tigerprints.clemson.edu/all_dissertations/1294

► In this Dissertation we consider stripping primes from the level of genus 2 cuspidal *Siegel* eigenforms. Specifically, given an eigenform of level Nlr which…
(more)

Subjects/Keywords: Galois Representations; Number Theory; Siegel Modular Forms; Applied Mathematics

…extension of Hida theory to *Siegel*
*modular* *forms*, see Theorem 3.2 in [71]. However, the… …for studying
the more general theory of *Siegel* *modular* *forms* in Section 2.3. For more… …nt r
,
exp(nτ + rz).
a2 a
*Siegel* *modular* *forms*
In this section, we give an… …introduction to the theory of *Siegel* *modular* *forms*.
For clarity, we will follow the basic framework… …*Siegel* *modular* *forms*.
Definition 19. Let N be a positive integer and let χ be a Dirichlet…

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

APA (6^{th} Edition):

Keaton, R. (2014). Level stripping of genus 2 Siegel modular forms. (Doctoral Dissertation). Clemson University. Retrieved from https://tigerprints.clemson.edu/all_dissertations/1294

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

Keaton, Rodney. “Level stripping of genus 2 Siegel modular forms.” 2014. Doctoral Dissertation, Clemson University. Accessed July 15, 2020. https://tigerprints.clemson.edu/all_dissertations/1294.

MLA Handbook (7^{th} Edition):

Keaton, Rodney. “Level stripping of genus 2 Siegel modular forms.” 2014. Web. 15 Jul 2020.

Vancouver:

Keaton R. Level stripping of genus 2 Siegel modular forms. [Internet] [Doctoral dissertation]. Clemson University; 2014. [cited 2020 Jul 15]. Available from: https://tigerprints.clemson.edu/all_dissertations/1294.

Council of Science Editors:

Keaton R. Level stripping of genus 2 Siegel modular forms. [Doctoral Dissertation]. Clemson University; 2014. Available from: https://tigerprints.clemson.edu/all_dissertations/1294

Université de Grenoble

8.
Do, Anh Tuan.
Mesures p-adicques admissibles associées aux formes modulaires de *Siegel* de genre arbitraire : p-adic admissible measures attached to *Siegel* *modular* *forms* of arbitrary genus.

Degree: Docteur es, Mathématiques, 2014, Université de Grenoble

URL: http://www.theses.fr/2014GRENM009

L'auteur n'a pas fourni de résumé en français.

L'auteur n'a pas fourni de résumé en anglais.

Subjects/Keywords: L-fonctions p-adiques; Formes modulaires de Siegel; Mesures p-adiques; P-adic L-functions; Siegel modular forms; P-adic measures; 510

Record Details Similar Records

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

APA (6^{th} Edition):

Do, A. T. (2014). Mesures p-adicques admissibles associées aux formes modulaires de Siegel de genre arbitraire : p-adic admissible measures attached to Siegel modular forms of arbitrary genus. (Doctoral Dissertation). Université de Grenoble. Retrieved from http://www.theses.fr/2014GRENM009

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

Do, Anh Tuan. “Mesures p-adicques admissibles associées aux formes modulaires de Siegel de genre arbitraire : p-adic admissible measures attached to Siegel modular forms of arbitrary genus.” 2014. Doctoral Dissertation, Université de Grenoble. Accessed July 15, 2020. http://www.theses.fr/2014GRENM009.

MLA Handbook (7^{th} Edition):

Do, Anh Tuan. “Mesures p-adicques admissibles associées aux formes modulaires de Siegel de genre arbitraire : p-adic admissible measures attached to Siegel modular forms of arbitrary genus.” 2014. Web. 15 Jul 2020.

Vancouver:

Do AT. Mesures p-adicques admissibles associées aux formes modulaires de Siegel de genre arbitraire : p-adic admissible measures attached to Siegel modular forms of arbitrary genus. [Internet] [Doctoral dissertation]. Université de Grenoble; 2014. [cited 2020 Jul 15]. Available from: http://www.theses.fr/2014GRENM009.

Council of Science Editors:

Do AT. Mesures p-adicques admissibles associées aux formes modulaires de Siegel de genre arbitraire : p-adic admissible measures attached to Siegel modular forms of arbitrary genus. [Doctoral Dissertation]. Université de Grenoble; 2014. Available from: http://www.theses.fr/2014GRENM009