On the generalized Euler–Stieltjes constants for the Rankin–Selberg L-function
2016 ◽
Vol 13
(06)
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pp. 1363-1379
Keyword(s):
Let [Formula: see text] be a number field of a finite degree and let [Formula: see text] be the Rankin–Selberg [Formula: see text]-function associated to unitary cuspidal automorphic representations [Formula: see text] and [Formula: see text] of [Formula: see text] and [Formula: see text], respectively. The main result of the paper is an asymptotic formula for evaluation of coefficients appearing in the Laurent (Taylor) series expansion of the logarithmic derivative of the function [Formula: see text] at [Formula: see text]. As a corollary, we derive orthogonality and weighted orthogonality relations.
2011 ◽
Vol 147
(5)
◽
pp. 1337-1352
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2013 ◽
Vol 149
(6)
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pp. 959-995
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1991 ◽
Vol 2
(4)
◽
pp. 293-318
◽
Keyword(s):
2005 ◽
Vol 10
(4)
◽
pp. 333-342
Keyword(s):