2 citations · 2 across the 4 of their papers we have counts for
4 papers
On the Arakawa lifting Part I: Eichler commutation relations
Atsushi Murase, Hiro-aki Narita
We investigate the theta correspondence of cusp forms for the dual pair originally introduced by Tsuneo Arakawa in the non-adelic setting. We call this…
Fourier expansion of Arakawa lifting II: Relation with central L-values
Atsushi Murase, Hiro-aki Narita
This is a continuation of our previous paper published in Israel J. Math 187 (2012), 317-369. The aim of the paper here is to study the Fourier coefficients of Arakawa lifts in rel…
Symmetries for Siegel Theta Functions, Borcherds Lifts and Automorphic Green Functions
Bernhard Heim, Atsushi Murase
Let q be an integral quadratic form of signature (2,m+2). We will show that the Siegel theta functions attached to q satisfies certain symmetries. As an application, we prove the s…
A characterization of the Maass space on O(2, m+2) by symmetries
Bernhard Heim, Atsushi Murase
In this paper, we define certain symmetries for automorphic forms on O(2, m+2) and show that the space of automorphic forms satisfying these symmetries coincides with the Maass spa…