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Arithmetic Relations Between Fourier Coefficients of Siegel Paramodular Forms

Citation

Reiss, Daniel Arthur. (2019-08). Arithmetic Relations Between Fourier Coefficients of Siegel Paramodular Forms. Theses and Dissertations Collection, University of Idaho Library Digital Collections. https://www.lib.uidaho.edu/digital/etd/items/reiss_idaho_0089e_11650.html

Title:
Arithmetic Relations Between Fourier Coefficients of Siegel Paramodular Forms
Author:
Reiss, Daniel Arthur
Date:
2019-08
Program:
Mathematics
Subject Category:
Mathematics
Abstract:

This dissertation presents fundamental relations satisfied by the Fourier coefficients of a Siegel paramodular form F: ℋ2→ℂ which is an eigenform for the paramodular Hecke operators at primes which do not divide the level of the Siegel paramodular form. We exhibit relations between coefficients indexed by positive-definite, primitive, integral binary quadratic forms of discriminant d f^2 where d<0 is a fundamental discriminant and f is a positive integer.

Description:
doctoral, Ph.D., Mathematics -- University of Idaho - College of Graduate Studies, 2019-08
Major Professor:
Johnson-Leung, Jennifer
Committee:
Roberts, Brooks; Abo, Hirotachi; Machleidt, Ruprecht
Defense Date:
2019-08
Identifier:
Reiss_idaho_0089E_11650
Type:
Text
Format Original:
PDF
Format:
application/pdf

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