Rationality of the Petersson Inner Product of Cohen’s Kernels

DOI10.1142/S1793042122500749zbMath1499.11184arXiv2112.14164OpenAlexW4200526881WikidataQ114071823 ScholiaQ114071823MaRDI QIDQ5082476

Yichao Zhang, Yuanyi You

Publication date: 16 June 2022

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

Full work available at URL: https://arxiv.org/abs/2112.14164

zbMATH Keywords

rationalityFourier coefficientdouble Eisenstein seriesCohen's kernel

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)

Uses Software

• DLMF

Cites Work

• Kernels for products of \(L\)-functions
• Simultaneous nonvanishing of products of \(L\)-functions associated to elliptic cusp forms
• Nonvanishing of Hecke \(L\)-functions associated to cusp forms inside the critical strip
• Kernels of \(L\)-functions of cusp forms
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
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