Kernels of $L$-functions and shifted convolutions

DOI10.1090/proc/15182zbMath1471.11165arXiv1611.06899OpenAlexW3032398057MaRDI QIDQ5130852

Nikolaos Diamantis

Publication date: 29 October 2020

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

Full work available at URL: https://arxiv.org/abs/1611.06899

zbMATH Keywords

\(L\)-functionperioddouble Eisenstein seriesshifted divisor sum

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Related Items (1)

Shifted convolution sums motivated by string theory

Cites Work

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• Kernels for products of \(L\)-functions
• Non-integrality of the periods of cusp forms outside the critical strip
• Kernels of \(L\)-functions of cusp forms
• Modular forms and period polynomials
• Valeur en $2$ de fonctions $L$ de formes modulaires de poids $2$ : théorème de Beilinson explicite
• The special values of the zeta functions associated with cusp forms
• Modular Forms
• FromL-series of elliptic curves to Mahler measures

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