New results on the Stieltjes constants: Asymptotic and exact evaluation
Mark W. Coffey
TL;DR
This paper introduces new asymptotic, summatory, and exact formulas for the Stieltjes constants, enhancing understanding of their properties and computation.
Contribution
It provides novel asymptotic and exact expressions for the Stieltjes constants, advancing previous analytical methods.
Findings
New asymptotic formulas for Stieltjes constants
Exact summatory expressions derived
Improved computational approaches suggested
Abstract
The Stieltjes constants are the expansion coefficients in the Laurent series for the Hurwitz zeta function about s=1. We present new asymptotic, summatory, and other exact expressions for these and related constants.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Mathematical Identities · Mathematical functions and polynomials