Almost all primes satisfy the Atkin-Serre conjecture and are not extremal

DOI10.1007/s40993-021-00258-wzbMath1482.11064arXiv2003.09026OpenAlexW3154348773WikidataQ113891355 ScholiaQ113891355MaRDI QIDQ2028701

Ayla Gafni, Jesse Thorner, Peng-Jie Wong

Publication date: 1 June 2021

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09026

zbMATH Keywords

Atkin-Serre conjectureholomorphic cuspidal newform

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (3)

Equidistribution of αpθ$\alpha p^{\theta }$ with a Chebotarev condition and applications to extremal primes ⋮ Analytic number theory. Abstracts from the workshop held November 6--12, 2022 ⋮ Some remarks on small values of \(\tau (n)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extremal primes for elliptic curves
• A family of Calabi-Yau varieties and potential automorphy. II.
• The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\).
• Divisibilite de certaines fonctions arithmétiques
• Effective forms of the Sato-Tate conjecture
• Atkin-Serre type conjectures for automorphic representations on \(\mathrm{GL}(2)\)
• Modular Forms and the Chebotarev Density Theorem
• Extremal primes for elliptic curves without complex multiplication

This page was built for publication: Almost all primes satisfy the Atkin-Serre conjecture and are not extremal