On Kleinian mock modular forms

DOI10.1007/s40687-023-00410-1arXiv2306.14466OpenAlexW4391091971WikidataQ129619770 ScholiaQ129619770MaRDI QIDQ6202878

Michael H. Mertens, Claudia Alfes-Neumann

Publication date: 27 February 2024

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

Full work available at URL: https://arxiv.org/abs/2306.14466

zbMATH Keywords

harmonic Maass formmock modular formabelian functionsKleinian zeta function

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Modular and automorphic functions (11F03) Theta functions and abelian varieties (14K25) Holomorphic modular forms of integral weight (11F11) Analytic theory of abelian varieties; abelian integrals and differentials (14K20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complex analysis 2. Riemann surfaces, several complex variables, Abelian functions, higher modular functions
• On algebraic expressions of sigma functions for (\(n, s\)) curves
• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Weierstrass mock modular forms and elliptic curves
• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• Congruences of cusp forms and special values of their zeta functions
• Intersections over modular curves
• The Magma algebra system. I: The user language
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• On divisors of modular forms
• On two geometric theta lifts
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• 2-dimensional simple factors of \(J_ 0(N)\)
• Generalised elliptic functions
• A mixed mock modular solution of the Kaneko-Zagier equation
• Modularity of the concave composition generating function
• Differential operators for Siegel-Jacobi forms
• A new construction of Eisenstein’s completion of the Weierstrass zeta function
• Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
• Monstrous Moonshine
• Mock modular Eisenstein series with Nebentypus
• Lifting cusp forms to Maass forms with an application to partitions
• Elements of the representation theory of the Jacobi group
• Hyperelliptic modular curves

This page was built for publication: On Kleinian mock modular forms