Derivatives of \(L\)-series of weakly holomorphic cusp forms

DOI10.1007/s40687-022-00363-xzbMath1505.11074arXiv2209.09229OpenAlexW4307313213WikidataQ125728572 ScholiaQ125728572MaRDI QIDQ2093061

Fredrik Strömberg, Nikolaos Diamantis

Publication date: 4 November 2022

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.09229

zbMATH Keywords

central values\(L\)-seriesharmonic liftsweakly holomorphic cusp forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)

Uses Software

• PARI/GP
• DLMF
• LMFDB
• GitHub

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Cycle integrals of the \(j\)-function and mock modular forms
• Weakly holomorphic Hecke eigenforms and Hecke eigenpolynomials
• Automorphic forms with singularities on Grassmannians
• On two geometric theta lifts
• Rigorous high-precision computation of the Hurwitz zeta function and its derivatives
• The \(f(q)\) mock theta function conjecture and partition ranks
• Regularized theta liftings and periods of modular functions
• Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
• Special $L$-values and periods of weakly holomorphic modular forms
• The Generalized Integro-Exponential Function
• On the Conjecture of Birch and Swinnerton-Dyer for an Elliptic Curve of Rank 3
• Computing Special Values of MotivicL-Functions