Modular forms with non-vanishing central values and linear independence of Fourier coefficients

DOI10.1007/S11139-024-00931-5MaRDI QIDQ6631608

Debargha Banerjee, Priyanka Majumder

Publication date: 1 November 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

modular curvesmodular symbolsHecke operatorscentral \(L\)-values

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Galois representations (11F80) Dedekind eta function, Dedekind sums (11F20)

Cites Work

• An explicit basis of modular symbols on function fields
• On Artin's conjecture for odd 2-dimensional representations
• Families of \(L\)-functions of automorphic forms and applications
• Bounds for the torsion of elliptic curves over number fields
• On linear independence of Dirichlet \(L\) values
• Periods of modular forms on \(\Gamma_0(N)\) and products of Jacobi theta functions
• Zeroes of zeta functions and symmetry
• Linear Independence of Hecke Operators in the Homology of X ₀ (N )
• TWISTS OF AUTOMORPHIC L-FUNCTIONS AT THE CENTRAL POINT
• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros
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