On p-adic Measures for Quaternionic Modular Forms

2022/09/23 by Jin, Yubo
#11F33 #11F55 #11F67 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2209.11822

Abstract

The purpose of this paper is to study the special values of the standard L-functions for quaternionic modular forms using the doubling method. We obtain an integral representation for the L-function twisted by a character and construct the p-adic measure interpolating certain special L-values.

Related

• On quaternionic ordinary families of modular forms and p-adic L-functions
• Quaternionic families of Heegner points and p-adic L-functions
• p-adic interpolation of square roots of central L-values of modular forms
• Algebraicity and the p-adic Interpolation of Special L-values for certain Classical Groups
• The doubling Archimedean zeta integrals for p-adic interpolation