TY - JOUR
T1 - Bessel periods and the non-vanishing of Yoshida lifts modulo a prime
AU - Hsieh, Ming Lun
AU - Namikawa, Kenichi
N1 - Publisher Copyright:
© 2016, Springer-Verlag Berlin Heidelberg.
PY - 2017/4/1
Y1 - 2017/4/1
N2 - 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 Yoshida lifts attached to a pair of elliptic modular newforms. As a consequence, we obtain a new proof of the non-vanishing of Yoshida lifts.
AB - 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 Yoshida lifts attached to a pair of elliptic modular newforms. As a consequence, we obtain a new proof of the non-vanishing of Yoshida lifts.
UR - http://www.scopus.com/inward/record.url?scp=84984794818&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84984794818&partnerID=8YFLogxK
U2 - 10.1007/s00209-016-1730-x
DO - 10.1007/s00209-016-1730-x
M3 - Article
AN - SCOPUS:84984794818
SN - 0025-5874
VL - 285
SP - 851
EP - 878
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 3-4
ER -