1 citations · 1 across the 4 of their papers we have counts for
4 papers
On Maximal Values of Gronwall Numbers for Integers with Given Greatest Prime Factor and Remainder in Modified Mertens Formula
Gennadiy A. Kalyabin
The unconditional, i.e. without assuming validity of RH, sharp limit relationship (as p tends to infinity) is found between the remainder in the modified Mertens asymptotic formula…
RH-Dependent Estimates of Remainder in Modified Mertens Formula
Gennadiy Kalyabin
Assuming the validity of Riemann Hypothesis (RH), we derive the explicit bilateral estimates ("narrow passage") of the remainder in the modified Mertens asymptotic formula for the…
Remainder in Modified Mertens Formula and Ramanujan Inequality
Gennadiy Kalyabin
A highly strong upper estimate in the modified asymptotic formula for sums of the primes' reciprocals is proved to be necessary (as well as sufficient) in order the Ramanujan inequ…
One-Step -Unimprovable Numbers
Gennadiy Kalyabin
The infinitude is established of the set of positive integers such that where are primes, and $G(N):=\frac{σ(N)}{N\l…