On the largest prime factor of non-zero Fourier coefficients of Hecke eigenforms
From MaRDI portal
Publication:6177653
DOI10.1515/forum-2023-0050arXiv2402.07944MaRDI QIDQ6177653
Publication date: 17 January 2024
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2402.07944
largest prime factorFourier coefficients of Hecke eigenformssymmetric \(m\)-th power of Galois representations
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Odd prime values of the Ramanujan tau function
- 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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
- On \(\ell\)-adic representations attached to modular forms
- Divisibilite de certaines fonctions arithmétiques
- Odd values of the Ramanujan tau function
- Effective forms of the Sato-Tate conjecture
- A unified and improved Chebotarev density theorem
- Divisors of Fourier coefficients of modular forms
- A note on the Ramanujan \(\tau\)-function
- Arithmetic properties of the Ramanujan function
- Sur la lacunarité des puissances de η
- on l-adic representations attached to modular forms II
- Odd values of the Ramanujan $\tau$-function
- Modular Forms and the Chebotarev Density Theorem
- On Divisors of Fermat, Fibonacci, Lucas, and Lehmer Numbers
- ODD VALUES OF FOURIER COEFFICIENTS OF CERTAIN MODULAR FORMS
- The Primality of Ramanujan's Tau-Function
