This article studies a distinguished collection of so-called generalized Heegner cycles in the
product of a Kuga–Sato variety with a power of a CM elliptic curve. Its main result is ap-adic …

On the Gross–Prasad conjecture with its refinement for (SO(5), SO(2)) and the generalized
Böcherer conjecture Page 1 On the Gross–Prasad conjecture with its refinement for (SO(5) …

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 use the relative trace formula to obtain exact formulas for central values of certain twisted
quadratic base change L-functions averaged over Hilbert modular forms of a fixed weight …

We determine local test vectors for Waldspurger functionals for GL 2, in the case where both
the representation of GL 2 and the character of the degree two extension are ramified, with …

We use the uniqueness of various invariant functionals on irreducible unitary
representations of $ PGL_2 (\mathbb {R}) $ in order to deduce the classical Rankin-Selberg …

We asymptotically estimate the variance of the number of lattice points in a thin, randomly
rotated annulus lying on the surface of the sphere. This partially resolves a conjecture of …

arXiv:1601.03284v4 [math.NT] 13 Mar 2019 Page 1 arXiv:1601.03284v4 [math.NT] 13 Mar
2019 The Jacquet–Langlands correspondence, Eisenstein congruences, and integral L-values …

Let π be a cuspidal automorphic representation of PGL (2 n) over a number field F, and η the
quadratic idèle class character attached to a quadratic extension E/F. Guo and Jacquet …

We evaluate the variance of the number of lattice points in a small randomly rotated
spherical ball on a surface of 3-dimensional sphere centered at the origin. Previously …