Harmonic Maass forms and periods

DOI10.1007/s00208-013-0945-yzbMath1328.11050arXiv1111.1508OpenAlexW2048846704MaRDI QIDQ383589

Jan Hendrik Bruinier

Publication date: 5 December 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1508

zbMATH Keywords

periodsalgebraic differentialscentral critical values of twisted Hecke \(L\)-functionsharmonic Maass forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Elliptic curves (14H52) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (6)

Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting) ⋮ Weierstrass mock modular forms and elliptic curves ⋮ The Eisenstein cycles and Manin-Drinfeld properties ⋮ Singular invariants and coefficients of harmonic weak Maass forms of weight \(5/2\) ⋮ Harmonic Maass forms of weight 1 ⋮ Equidistribution of Fourier coefficients of integral weight Maass-Poincaré series

Uses Software

• ecdata

Cites Work

• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Explicit formulas for the Fourier coefficients of Jacobi and elliptic modular forms
• The theory of Jacobi forms
• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• Dyson's ranks and Maass forms
• Heegner points and derivatives of \(L\)-series
• Hyperbolic distribution problems and half-integral weight 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
• Values of L-series of modular forms at the center of the critical strip
• Heegner points, cycles and Maass forms
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• On two geometric theta lifts
• Modular elliptic curves and Fermat's Last Theorem
• On modular forms of half integral weight
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• Computation of Harmonic Weak Maass Forms
• Fourier coefficients of Eisenstein series on non-congruence subgroups
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