On the number of dominating Fourier coefficients of two newforms

DOI10.1090/proc/14145zbMath1441.11084OpenAlexW2792783257WikidataQ130124149 ScholiaQ130124149MaRDI QIDQ3177835

Liubomir Chiriac

Publication date: 2 August 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/28b7db0a613ac731f16ef43e3471e175d762ffac

zbMATH Keywords

newformsFourier coefficients

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (5)

Deterministic comparison of Hecke eigenvalues at the primes represented by a binary quadratic form ⋮ Some density results on sets of primes for Hecke eigenvalues ⋮ Comparing Hecke eigenvalues of Siegel eigenforms ⋮ Deterministic comparison of cusp form coefficients over certain sequences ⋮ A note on arithmetic behavior of Hecke eigenvalues of Siegel cusp forms of degree two

Cites Work

• A family of Calabi-Yau varieties and potential automorphy. II.
• Small gaps in coefficients of \(L\)-functions and \({\mathfrak B}\)-free numbers in short intervals
• The number of Hecke eigenvalues of same signs
• Comparing Hecke eigenvalues of newforms
• Distinguishing Hecke eigenforms
• On modular signs
• On signs of Fourier coefficients of cusp forms
• Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications
• Galois representations, automorphic forms, and the Sato-Tate conjecture

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