2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.NT2014
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…
math.NT2010★ 2 cited
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…
math.NT2010
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…