Distinguishing Hecke eigenforms

DOI10.1090/proc/13446zbMath1364.11094OpenAlexW2526843511MaRDI QIDQ2964022

Sudhir Pujahari, M. Ram Murty

Publication date: 22 February 2017

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

Full work available at URL: https://doi.org/10.1090/proc/13446

zbMATH Keywords

Hecke eigenformssymmetric power \(L\)-functionsSato-Tate distribution

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Automorphic forms, one variable (11F12)

Related Items (16)

Strong multiplicity one for Siegel cusp forms of degree two ⋮ Distinguishing Galois representations by their normalized traces ⋮ On the number of dominating Fourier coefficients of two newforms ⋮ Deterministic comparison of Hecke eigenvalues at the primes represented by a binary quadratic form ⋮ Simultaneous non-vanishing and sign changes of Fourier coefficients of modular forms ⋮ An all-purpose Erdős-Kac theorem ⋮ Comparing Hecke eigenvalues of Siegel eigenforms ⋮ Divisors of Fourier coefficients of two newforms ⋮ Deterministic comparison of cusp form coefficients over certain sequences ⋮ Distinguishing pure representations by normalized traces ⋮ Distinguishing newforms by their Hecke eigenvalues ⋮ On the normal number of prime factors of sums of Fourier coefficients of eigenforms ⋮ On the Lang-Trotter conjecture for two elliptic curves ⋮ Some remarks on the coefficients of symmetric power 𝐿-functions ⋮ The Sato-Tate conjecture and Nagao's conjecture ⋮ A note on arithmetic behavior of Hecke eigenvalues of Siegel cusp forms of degree two

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