POWER SERIES EXPANSIONS OF MODULAR FORMS AND THEIR INTERPOLATION PROPERTIES

DOI10.1142/S1793042111004095zbMath1243.11062arXivmath/0406388MaRDI QIDQ5392209

Andrea Mori

Publication date: 8 April 2011

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

Full work available at URL: https://arxiv.org/abs/math/0406388

zbMATH Keywords

modular formsautomorphic \(L\)-functions

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (9)

Square root \(p\)-adic \(L\)-functions. I: Construction of a one-variable measure ⋮ \(p\)-adic and analytic properties of period integrals and values of \(L\)-functions ⋮ Power series expansions of modular forms and p-adic interpolation of the square roots of Rankin–Selberg special values ⋮ Non-vanishing of Taylor coefficients and Poincaré series ⋮ Higher Ramanujan Equations and Periods of Abelian Varieties ⋮ A \(p\)-adic Maass-Shimura operator on Mumford curves ⋮ QUATERNIONIC MODULAR FORMS OF ANY WEIGHT ⋮ Computing Power Series Expansions of Modular Forms ⋮ Generalized Heegner cycles and p-adic L-functions in a quaternionic setting

Cites Work

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• Die Differentialgleichungen in der Theorie der Siegelschen Modulfunktionen. (The differential equations in the theory of Siegel's modular functions)
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Special values of zeta functions attached to Siegel modular forms
• Geometric Invariant Theory
• \(p\)-adic measures and square roots of special values of triple product \(L\)-functions
• Heegner points on Mumford-Tate curves

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