A note on Fourier coefficients of Hecke eigenforms in short intervals

DOI10.1007/S00605-024-01984-WMaRDI QIDQ6593181

Sanoli Gun, Sunil L. Naik

Publication date: 26 August 2024

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

zbMATH Keywords

explicit version of Chebotarev density theorem in short intervalslarge prime factors of Fourier coefficients of Hecke eigenformsnumber of non-zero Fourier coefficients at primes in short intervals

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Galois representations (11F80) Density theorems (11R45) Rate of growth of arithmetic functions (11N56)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• A family of Calabi-Yau varieties and potential automorphy. II.
• Prime divisors of Fourier coefficients of modular forms
• A family of Calabi-Yau varieties and potential automorphy
• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
• Quelques applications du théorème de densité de Chebotarev
• Effective forms of the Sato-Tate conjecture
• A unified and improved Chebotarev density theorem
• Divisors of Fourier coefficients of modular forms
• The explicit Sato-Tate Conjecture and densities pertaining to Lehmer-type questions
• The least prime ideal.
• On Divisors of Fermat, Fibonacci, Lucas, and Lehmer Numbers
• Explicit bounds for primes in residue classes
• Effective Log-Free Zero Density Estimates for Automorphic L-Functions and the Sato–Tate Conjecture
• On the numerical factors of the arithmetic forms \(\alpha^n\pm \beta^n\).
• The Chebotarev density theorem in short intervals and some questions of Serre
• On the largest prime factor of non-zero Fourier coefficients of Hecke eigenforms
• On a non-Archimedean analogue of a question of Atkin and Serre

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