Power series expansions of modular forms and p-adic interpolation of the square roots of Rankin–Selberg special values

DOI10.1142/S1793042122500300zbMath1499.11206arXiv1910.09992OpenAlexW3198835891MaRDI QIDQ5069077

Andrea Mori

Publication date: 8 April 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09992

zbMATH Keywords

modular formsautomorphic \(L\)-functions\(p\)-adic \(L\)-functions\(p\)-adic measures

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit Gross-Zagier and Waldspurger formulae
• \(p\)-adic \(L\)-functions for CM fields
• The central critical value of a triple product \(L\)-function
• Arithmetic automorphic forms for the nonholomorphic discrete series of \(GSp(2)\)
• \(p\)-adic interpolation of real analytic Eisenstein series
• Integral models of certain Shimura curves
• Explicit form of quaternion modular embeddings
• Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad
• A \(p\)-adic Waldspurger formula
• Integrality of a ratio of Petersson norms and level-lowering congruences
• On the differentiation of De Rham cohomology classes with respect to parameters
• Automorphic forms on GL (2)
• Theta series and automorphic forms on \(\text{GL}_2\)
• Automorphic forms on \(\mathrm{GL}(2)\). Part II
• ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES
• Anticyclotomic p-adic L-function of Central Critical Rankin-Selberg L-value
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Special values of zeta functions attached to Siegel modular forms
• Non-vanishing of L-functions of 2 × 2 unitary groups
• POWER SERIES EXPANSIONS OF MODULAR FORMS AND THEIR INTERPOLATION PROPERTIES
• Shimura Curves and Special Values of p-adic L-functions
• \(p\)-adic measures and square roots of special values of triple product \(L\)-functions

This page was built for publication: Power series expansions of modular forms and p-adic interpolation of the square roots of Rankin–Selberg special values