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Adelic Rogers integral formula
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We formulate and prove the extension of the Rogers integral formula (Rogers [Acta Math. 94 (1955), 249–287]) to the adeles of number fields. We also prove the second moment formulas for a few important cases, enabling a number of classical and recent applications of the formula to extend immediately to any number field.
Seungki Kim
wiley +1 more source
Horizontal non-vanishing of Heegner points and toric periods [PDF]
, 2019 Let $F/\mathbb{Q}$ be a totally real field and $A$ a modular $\GL_2$-type abelian variety over $F$. Let $K/F$ be a CM quadratic extension. Let $\chi$ be a class group character over $K$ such that the Rankin-Selberg convolution $L(s,A,\chi)$ is self-dual ...
Burungale, Ashay A., Tian, Ye
core +1 more source
Unlikely intersections on the p-adic formal ball. [PDF]
Res Number Theory, 2023 Serban V.
europepmc +1 more source
, 2004 This paper deals with a new analytic type of vector- and Clifford algebra valued automorphic forms in one and two vector variables. For hypercomplex generalizations of the classical modular group and their arithmetic congruence subgroups Eisenstein- and ...
Krausshar, Rolf Soeren
core
Modular knots, automorphic forms, and the Rademacher symbols for triangle groups. [PDF]
Res Math Sci, 2023 Matsusaka T, Ueki J.
europepmc +1 more source
Definite orthogonal modular forms: computations, excursions, and discoveries. [PDF]
Res Number Theory, 2022 Assaf E +5 more
europepmc +1 more source
Slope classicality in higher Coleman theory via highest weight vectors in completed cohomology. [PDF]
Proc Natl Acad Sci U S A, 2022 Howe S.
europepmc +1 more source
An Euler system for GU(2, 1). [PDF]
Math Ann, 2022 Loeffler D, Skinner C, Zerbes SL.
europepmc +1 more source
Irreducibility of limits of Galois representations of Saito-Kurokawa type. [PDF]
Res Number Theory, 2021 Berger T, Klosin K.
europepmc +1 more source