On 𝑝-adic harmonic Maass functions

DOI10.1090/tran/8105zbMath1454.11084arXiv1707.02712OpenAlexW3011170130MaRDI QIDQ5125054

Michael J. Griffin

Publication date: 1 October 2020

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

Full work available at URL: https://arxiv.org/abs/1707.02712

zbMATH Keywords

modular formsmock modular formsMaass functions\(p\)-adic harmonic Maass functions

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33)

Cites Work

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• Explicit congruences for mock modular forms
• On Zagier's adele
• Harmonic weak Maass forms of integral weight: a geometric approach
• A geometric perspective on \(p\)-adic properties of mock modular forms
• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Cycle integrals of the \(j\)-function and mock modular forms
• The Weil representation and Hecke operators for vector valued modular forms
• Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series
• Weierstrass mock modular forms and elliptic curves
• Half-integral weight \(p\)-adic coupling of weakly holomorphic and holomorphic modular forms
• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• Integral traces of singular values of weak Maass forms
• Heegner points and derivatives of \(L\)-series. II
• Jacobi forms and a certain space of modular forms
• Automorphic forms with singularities on Grassmannians
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• On a theta lift related to the Shintani lift
• On two geometric theta lifts
• Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms
• Formulas for the coefficients of half-integral weight harmonic Maaß forms
• Regularized theta liftings and periods of modular functions
• Modular functions of one variable. III. Proceedings international summer school University of Antwerp, RUCA, July 17-August 3, 1972
• Real Quadratic Analogs of Traces of Singular Moduli
• p -adic coupling of mock modular forms and shadows
• The Arithmetic of Elliptic Curves
• Iwasawa modules attached to congruences of cusp forms
• A class of nonanalytic automorphic functions
• ARITHMETIC TRACES OF NON-HOLOMORPHIC MODULAR INVARIANTS
• Mock modular forms as $p$-adic modular forms
• Traces of CM values of modular functions