A Shimura-Shintani correspondence for rigid analytic cocycles of higher weight

DOI10.1515/forum-2022-0235OpenAlexW4322492163MaRDI QIDQ2689777

Isabella Negrini

Publication date: 14 March 2023

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.05903

zbMATH Keywords

theta correspondencealgebraic number theoryrigid meromorphic cocycles\(p\)-adic Kudla programShimura-Shintani correspondence

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) (p)-adic theory, local fields (11F85) Complex multiplication and moduli of abelian varieties (11G15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Values of \(p\)-adic \(L\)-functions and a \(p\)-adic Poisson kernel
• Automorphic forms with singularities on Grassmannians
• Schottky groups and Mumford curves
• Values of L-series of modular forms at the center of the critical strip
• Modular forms associated to real quadratic fields
• On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\)
• Rigid analytic geometry and its applications
• Real quadratic Borcherds products
• Diagonal restrictions of \(p\)-adic Eisenstein families
• Borcherds lifts of harmonic Maass forms and modular integrals
• \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
• Singular moduli for real quadratic fields: a rigid analytic approach
• An Elementary Proof of a Weak Exceptional Zero Conjecture
• Theta series for indefinite quadratic forms over real number fields

This page was built for publication: A Shimura-Shintani correspondence for rigid analytic cocycles of higher weight