Vector-valued Hirzebruch-Zagier series and class number sums
From MaRDI portal
Publication:2319756
DOI10.1007/s40687-018-0142-4zbMath1440.11049arXiv1711.10519OpenAlexW2772008951MaRDI QIDQ2319756
Publication date: 20 August 2019
Published in: Research in the Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.10519
Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30) Class numbers of quadratic and Hermitian forms (11E41)
Related Items (5)
Theta lifts for Lorentzian lattices and coefficients of mock theta functions ⋮ On the computation of general vector-valued modular forms ⋮ A construction of antisymmetric modular forms for Weil representations ⋮ Overpartition $M2$-rank differences, class number relations, and vector-valued mock Eisenstein series ⋮ A proof of the mod 4 unimodal sequence conjectures and related mock theta functions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mock modular forms and class number relations
- Eichler-Selberg type identities for mixed mock modular forms
- Elliptic curves, modular forms, and sums of Hurwitz class numbers
- Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
- On Borcherds products associated with lattices of prime discriminant
- Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
- Poincaré square series for the Weil representation
- Lattices with many Borcherds products
- Holomorphic projections and Ramanujan’s mock theta functions
- The Weil Representation of and Some Applications
- Vector-valued Eisenstein series of small weight
- Sums of class numbers and mixed mock modular forms
- Eisenstein series attached to lattices and modular forms on orthogonal groups
This page was built for publication: Vector-valued Hirzebruch-Zagier series and class number sums
