The inverses of tails of the generalized Riemann zeta function within the range of integers

In recent years, many mathematicians researched infinite reciprocal sums of various sequences and evaluated their value by the asymptotic formulas. We study the asymptotic formulas of the infinite reciprocal sums formed as $ \left(\sum^{\infty}_{k = n} \frac{1}{k^r(k+t)^s} \right)^{-1} $ for $ r, s,...

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Bibliographic Details
Main Authors: Zhenjiang Pan, Zhengang Wu
Format: Article
Language:English
Published: AIMS Press 2023-10-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231461?viewType=HTML