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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.NT2014
Lifting to GL(2) over a quaternion division algebra and an explicit construction of CAP representations
Masanori Muto, Hiro-aki Narita, Ameya Pitale
The aim of this paper is to carry out an explicit construction of CAP representations of GL(2) over a division quaternion algebra with discriminant two. We first construct cusp for…