7 citations · 14 across the 3 of their papers we have counts for
3 papers
math-ph2005★ 7 cited
Polygamma theory, the Li/Keiper constants, and validity of the Riemann Hypothesis
Mark W. Coffey
The Riemann hypothesis is equivalent to the Li criterion governing a sequence of real constants, that are certain logarithmic derivatives of the Riemann xi function evaluated at un…
math-ph2005★ 6 cited
New results on the Stieltjes constants: Asymptotic and exact evaluation
Mark W. Coffey
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 expressi…
math-ph2005★ 1 cited
On one dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
Mark W. Coffey
We consider summations over digamma and polygamma functions, often with summands of the form (\pm 1)^nψ(n+p/q)/n^r and (\pm 1)^nψ^{(m)} (n+p/q)/n^r, where m, p, q, and r are positi…