TY - JOUR
T1 - Integrals Derived from the Doubling Method
AU - Ginzburg, David
AU - Soudry, David
N1 - Publisher Copyright:
© 2019 The Author(s).
PY - 2020/12/1
Y1 - 2020/12/1
N2 - In this note, we use a basic identity, derived from the generalized doubling integrals of [2], in order to explain the existence of various global Rankin-Selberg integrals for certain L-functions. To derive these global integrals, we use the identities relating Eisenstein series in [11], together with the process of exchanging roots. We concentrate on several well-known examples, and explain how to obtain them from the basic identity. Using these ideas, we also show how to derive a new global integral.
AB - In this note, we use a basic identity, derived from the generalized doubling integrals of [2], in order to explain the existence of various global Rankin-Selberg integrals for certain L-functions. To derive these global integrals, we use the identities relating Eisenstein series in [11], together with the process of exchanging roots. We concentrate on several well-known examples, and explain how to obtain them from the basic identity. Using these ideas, we also show how to derive a new global integral.
UR - http://www.scopus.com/inward/record.url?scp=85098659503&partnerID=8YFLogxK
U2 - 10.1093/imrn/rnz147
DO - 10.1093/imrn/rnz147
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AN - SCOPUS:85098659503
SN - 1073-7928
VL - 2020
SP - 10553
EP - 10596
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 24
ER -