Let k be a local field, with char (k)≠ 2. A quadratic space V over k is a finite dimensional
vector space together with a non-degenerate quadratic form Q: V→ k. The special …

In [20], Gross and Zagier proved a formula which relates the central derivatives of certain
Rankin L-series and the heights of certain Heegner points on elliptic curves. Combined with …

This article is the first in a series devoted to studying generalised Gross-Kudla-Schoen
diagonal cycles in the product of three Kuga-Sato varieties and the Euler system properties …

Some remarks on local newforms for GL(2) Contents Introduction Page 1 Some remarks on
local newforms for GL(2) Ralf Schmidt Abstract. Local newforms for representations of GL(2) …

Nontriviality of Rankin-Selberg L-functions and CM points. Page 1 Nontriviality of Rankin-Selberg
L-functions and CM points. C. Cornut and V. Vatsal March 7, 2006 Contents 1 Introduction 2 …

Explicit Gross–Zagier and Waldspurger formulae Page 1 Algebra & Number Theory msp
Volume 8 2014 No. 10 Explicit Gross–Zagier and Waldspurger formulae Li Cai, Jie Shu and …

In this article, we construct a class of anticyclotomic p-adic Rankin-Selberg L-functions for
Hilbert modular forms, generalizing the construction of Brakocević, Bertolini, Darmon and …

We study the Rankin-series, analogous to the formulae obtained by Gross, Zhang, and Xue
in the imaginary case. The proof uses a version of the Rankin–Selberg method in which the …

The classical theory of Gelfand pairs has found a wide range of applications, ranging from
harmonic analysis on Riemannian symmetric spaces to coding theory. Here we discuss a …

The embedding of a torus into an inner form of PGL2 defines an adelic toric period. A
general version of Duke's theorem states that this period equidistributes as the discriminant …