Variations of mass formulas for definite division algebras
Chia-Fu Yu,Chia-Fu Yu +1 more
TLDR
In this article, the authors organize some known mass formulas arising from a definite central division algebra over a global field and deduce some new ones, which is a generalization of the work in this paper.About:
This article is published in Journal of Algebra.The article was published on 2015-01-15 and is currently open access. It has received 8 citations till now. The article focuses on the topics: Division algebra & Division (mathematics).read more
Citations
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Journal ArticleDOI
Explicit Gross–Zagier and Waldspurger formulae
TL;DR: In this article, an explicit Gross-Zagier formula was given to relate the height of an explicitly constructed Heegner point to the derivative central value of a Rankin L-series.
Journal ArticleDOI
Triple product p-adic L-functions for balanced weights
TL;DR: In this article, a p-adic triple product L-function is constructed that interpolates (square roots of) central critical L-values in the balanced region of affinoid algebras.
Posted Content
Periods of quaternionic Shimura varieties. I
Atsushi Ichino,Kartik Prasanna +1 more
TL;DR: In this paper, an integral refinement of Shimura's conjecture regarding Petersson inner products of automorphic forms that are related by the Jacquet-Langlands correspondence is proposed.
Journal ArticleDOI
Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields
Qun Li,Jiangwei Xue,Chia-Fu Yu +2 more
TL;DR: In this article, a form of refined class number formula (resp. type number formula) for maximal orders in totally definite quaternion algebras over real quadratic fields, by taking into consideration the automorphism groups of right ideal classes, was studied.
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Periods of Quaternionic Shimura Varieties. I.
Atsushi Ichino,Kartik Prasanna +1 more
TL;DR: In this article, an integral refinement of Shimura's conjecture regarding Petersson inner products of automorphic forms that are related by the Jacquet-Langlands correspondence is proposed.
References
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Book
Algebraic groups and number theory
TL;DR: Adeles and Ideles as discussed by the authors gave a generalization of the Strong Approximation Theorem for algebraic groups over locally compact fields and showed that the strong and weak approximations in algebraic numbers of groups are equivalent.
Book
Class Field Theory
Emil Artin,John Tate +1 more
TL;DR: This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University, and has served as an ultimate source for many generations of mathematicians.
Book
Adeles and algebraic groups
TL;DR: Ono and Ono as mentioned in this paper gave a short survey of subsequent research on Adele-Geometry and the Tamagawa numbers, including the case of the local measure and the convergence factor.
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A. H. Stroud,Don Secrest +1 more