Finite field models of polynomials interpolating Fourier coefficients of modular functions for Hecke groups

MaRDI QIDQ6542795

Barry Brent

Publication date: 23 May 2024

Published in: Integers (Search for Journal in Brave)

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Uniformization of triangle modular curves
• On the cases when the Gaussian hypergeometric series represents an algebraic function of its four arguments
• Jensen polynomials for the Riemann xi-function
• Note on the Schwarz triangle functions
• Polynomial interpolation of modular forms for Hecke groups
• On the Fourier coefficients of triangle functions
• Quadratic Minima and Modular Forms
• Quadratic minima and modular forms II
• Jensen polynomials for the Riemann zeta function and other sequences
• Some Properties of p(n) and c(n) Modulo Powers of 13
• Divisibility Properties of the Fourier Coefficients of the Modular Invariant j(τ)
• Further Congruence Properties of the Fourier Coefficients of the Modular Invariant j(τ)
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung.
• On the coefficients in the expansions of certain modular functions.

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