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Arithmetic Relations Between Fourier Coefficients of Siegel Paramodular Forms
Dissertation   Open access

Arithmetic Relations Between Fourier Coefficients of Siegel Paramodular Forms

Daniel Arthur Reiss
Doctor of Philosophy (PHD), University of Idaho - College of Graduate Studies
08/2019

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.
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