activity
20152023
most citedBessel periods and the non-vanishing of Yoshida lifts modulo a prime

10 citations · 14 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2023

Uniform Integrality of critical values of the Rankin-Selberg -function for

Takashi Hara, Tadashi Miyazaki, Kenichi Namikawa

After introducing the notion of uniform integrality of critical values of the Rankin-Selberg -functions for , we study it when the base…

math.NT2022★ 1 cited

A motivic interpretation of Whittaker periods for

Takashi Hara, Kenichi Namikawa

Admitting the existence of conjectural motives attached to cohomological irreducible cuspidal automorphic representations of , we write down Raghuram and Shahidi's W…

math.NT2020

A cohomological interpretation of archimedean zeta integrals for

Takashi Hara, Kenichi Namikawa

By studying an explicit form of the Eichler--Shimura map for , we describe a precise relation between critical values of the complete -function for the Rankin--Selbe…

math.NT2019

A construction of -adic Asai -functions for over CM fields

Kenichi Namikawa

We give a construction of -adic Asai -functions for cohomological cuspidal automorphic representations of over CM fields. If the base field is imaginary quadrati…

math.NT2018★ 3 cited

Explicit inner product formulas and Bessel period formulas for HST lifts

Kenichi Namikawa

We explicitly give an inner product formula and a Bessel period formula for theta series on GSp(4), which was studied by Harris, Soudry and Taylor. As a consequence, we prove a non…

math.NT2016

Inner product formula for Yoshida lifts

Ming-Lun Hsieh, Kenichi Namikawa

We prove an explicit inner product formula for vector-valued Yoshida lifts. As a consequence, we obtain the non-vanishing of Yoshida lifts.

math.NT2015★ 10 cited

Bessel periods and the non-vanishing of Yoshida lifts modulo a prime

Ming-Lun Hsieh, Kenichi Namikawa

We give an explicit construction of vector-valued Yoshida lifts and derive a formula of the Bessel periods of Yoshida lifts, by which we prove the non-vanishing modulo a prime of Y…