p‐adic L‐functions on metaplectic groups

DOI10.1112/jlms.12318zbMath1484.11185arXiv1901.04361OpenAlexW3023548978MaRDI QIDQ5141859

Salvatore Mercuri

Publication date: 22 December 2020

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

Full work available at URL: https://arxiv.org/abs/1901.04361

zbMATH Keywords

\(p\)-adic \(L\)-functionsSiegel modular forms of half-integral weight

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Other Dirichlet series and zeta functions (11M41)

Cites Work

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• \(p\)-adic \(L\)-functions for CM fields
• On Eisenstein series of half-integral weight
• Confluent hypergeometric functions on tube domains
• Non-Archimedean L-functions of Siegel and Hilbert modular forms
• Euler products and Fourier coefficients of automorphic forms on symplectic groups
• \(p\)-adic measures attached to Siegel modular forms
• Zeta functions and Eisenstein series on metaplectic groups
• Convergence of zeta functions on symplectic and metaplectic groups
• Algebraicity of metaplectic \(L\)-functions
• The \(p\)-adic \(L\)-function for half-integral weight modular forms
• The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
• THE IWASAWA MAIN CONJECTURE FOR HILBERT MODULAR FORMS
• THE MULTIPLICATIVE ARITHMETIC OR SIEGEL MODULAR FORMS
• On the Transformation Formulas of Theta Series
• p-adic Measures for Hermitian Modular Forms and the Rankin–Selberg Method

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