Additive twists and a conjecture by Mazur, Rubin and Stein

DOI10.1016/j.jnt.2019.11.016zbMath1439.11129OpenAlexW2995429170WikidataQ123138785 ScholiaQ123138785MaRDI QIDQ2288301

Jeffrey Hoffstein, Nikolaos Diamantis, Eren Mehmet Kıral, Min Lee

Publication date: 17 January 2020

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

Full work available at URL: http://hdl.handle.net/21.11116/0000-0005-E11D-D

zbMATH Keywords

classical modular symbolsMazur-Rubin-Stein conjecture

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Zeta and (L)-functions: analytic theory (11M99)

Related Items (6)

Modular iterated integrals associated with cusp forms ⋮ Residual equidistribution of modular symbols and cohomology classes for quotients of hyperbolic 𝑛-space ⋮ Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols ⋮ A proof of the conjecture of Mazur-Rubin-Stein ⋮ First moments of Rankin-Selberg convolutions of automorphic forms on \(\mathrm{GL}(2)\) ⋮ Central values of additive twists of cuspidal \(L\)-functions

Cites Work

• Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition
• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• A conjectural extension of Hecke's converse theorem
• Arithmetic statistics of modular symbols
• Rankin-Selberg \(L\)-functions in the level aspect.
• Unnamed Item

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