Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition

DOI10.1016/j.jnt.2016.03.009zbMath1417.11047OpenAlexW2345031940MaRDI QIDQ290053

Nikolaos Diamantis, Roelof Wichert Bruggeman

Publication date: 1 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.03.009

zbMATH Keywords

spectral decompositionsecond order Maass formsshifted convolution sums

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items

Arithmetic statistics of modular symbols ⋮ A note on additive twists, reciprocity laws and quantum modular forms ⋮ Additive twists and a conjecture by Mazur, Rubin and Stein ⋮ Central values of additive twists of cuspidal \(L\)-functions ⋮ Noncommutative modular symbols and Eisenstein series ⋮ Non-random behavior in sums of modular symbols

Cites Work

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