2 papers
math.NT2016
Estimates for Beurling numbers
Gregory Debruyne, Harold G. Diamond, Jasson Vindas
In classical prime number theory there are several asymptotic formulas said to be "equivalent" to the PNT. One is the bound for the sum function of the Moebius functi…
math.CA2015
Bounds for the logarithm of the Euler gamma function and its derivatives
Harold G. Diamond, Armin Straub
We consider differences between and truncations of certain classical asymptotic expansions in inverse powers of whose coefficients are expressed in terms of Berno…