2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.NT2024
On the series expansion of the secondary zeta function
Artur Kawalec
In article, we explore the secondary zeta function , which is defined as a generalized zeta type of series over imaginary parts of non-trivial zeros of the Riemann zeta funct…
math.NT2024
On the series expansion of a square-free zeta series
Artur Kawalec
In this article, we develop a square-free zeta series associated with the Möbius function into a power series, and prove a Stieltjes like formula for these expansion coefficients.…
math.GM2016★ 2 cited
The th+1 Prime Number Limit Formulas
Artur Kawalec
A new derivation of Golomb's limit formula for generating the th prime number is presented. The limit formula is derived by extracting from Euler's prime product r…