The prime number theorem and Hypothesis H with lower-order terms

Euler-Stieltjes constants for the Rankin-Selberg L-function and weighted Selberg orthogonality

“…In the case when k = 1 formula (3.16) is generalization of [11, Proposition 2.2], and therefore a generalization of the main result from [11] in two ways. First, our method of proof enables us to obtain a unique formula for the sum in (3.16) for all k ≥ 0 (while the result of [11] is given only for k = 1).…”

“…First, our method of proof enables us to obtain a unique formula for the sum in (3.16) for all k ≥ 0 (while the result of [11] is given only for k = 1). Second, our setting is slightly more general.…”