The first negative Fourier coefficient of an Eisenstein series newform

DOI10.1007/s11139-023-00779-1arXiv2211.12985OpenAlexW4386602617MaRDI QIDQ6122735

Sebastián Carrillo Santana

Publication date: 1 March 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.12985

zbMATH Keywords

Fourier coefficientslarge sieveEisenstein series newforms

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Applications of sieve methods (11N36)

Cites Work

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• The average least quadratic nonresidue modulo \(m\) and other variations on a theme of Erdős
• The sign changes of Fourier coefficients of Eisenstein series
• On the first sign change of Hecke eigenvalues of newforms
• Hecke operators on \(\Gamma_0(m)\)
• Counting discriminants of number fields
• On modular signs
• On signs of Fourier coefficients of cusp forms