Twisted Kronecker series and periods of modular forms on \(\Gamma_0(N)\)

DOI10.1016/J.AIM.2024.109672MaRDI QIDQ6496872

Young Ju Choie, Clifford Blakestad

Publication date: 6 May 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Rankin-Cohen bracketsKronecker seriesperiod polynomialmeromorphic Jacobi formcritical values of twisted modular \(L\)-function

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Jacobi forms (11F50) Automorphic forms, one variable (11F12) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

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• Characters of topological \(N=2\) vertex algebras are Jacobi forms on the moduli space of elliptic supercurves
• Algebraic theta functions and the \(p\)-adic interpolation of Eisenstein-Kronecker numbers
• Values of L-series of modular forms at the center of the critical strip
• Periods of modular forms and Jacobi theta functions
• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• Modular forms and differential operators
• Feynman integrals and iterated integrals of modular forms
• Periods of modular forms on \(\Gamma_0(N)\) and products of Jacobi theta functions
• Periods of Hilbert modular forms, Kronecker series and cohomology
• Modular forms and period polynomials
• The Nontrivial Zeros of Period Polynomials of Modular Forms Lie on the Unit Circle
• Riemann hypothesis for period polynomials of modular forms
• Periods of Eisenstein series and some applications
• Period polynomials and explicit formulas for Hecke operators on Γ₀(2)
• The special values of the zeta functions associated with cusp forms
• Quasimodularity and large genus limits of Siegel-Veech constants
• Elliptic classes of Schubert varieties via Bott–Samelson resolution
• Bernoulli Numbers and Zeta Functions
• Unimodularity of zeros of period polynomials of Hecke eigenforms
• Modular Forms

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