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1. 7. 2017.
On the generalized Euler–Stieltjes constants for the Rankin–Selberg L-function
Let F be a number field of a finite degree and let L(s,π ×π′) be the Rankin–Selberg L-function associated to unitary cuspidal automorphic representations π and π′ of GLm(𝔸F) and GLm′(𝔸F), 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 L(s,π ×π′) at s = 1. As a corollary, we derive orthogonality and weighted orthogonality relations.