Results 21 to 30 of about 57 (56)
The average order of the Dirichlet series of the gcd-sum function [PDF]
Using a result of Bordellès, we derive the second term and improved error expressions for the partial sums of the Dirichlet series of the gcd-sum function, for all real values of the ...
Broughan, Kevin A.
core
Arithmetic functions associated with infinitary divisors of an integer
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 373-383, 1993.
Graeme L. Cohen, Peter Hagis
wiley +1 more source
On the distribution of powered numbers
Asymptotic formulae are established for the number of natural numbers mm with largest square-free divisor not exceeding mϑ{m}^{{\vartheta }}, for any fixed positive parameter ϑ{\vartheta }. Related counting functions are also considered.
Brüdern Jörg, Robert Olivier
doaj +1 more source
Partition regularity of Pythagorean pairs
We address a core partition regularity problem in Ramsey theory by proving that every finite coloring of the positive integers contains monochromatic Pythagorean pairs (i.e., $x,y\in {\mathbb N}$ such that $x^2\pm y^2=z^2$ for some $z ...
Nikos Frantzikinakis +2 more
doaj +1 more source
Log-convexity and the overpartition function. [PDF]
Mukherjee G.
europepmc +1 more source
Stieltjes constants of L-functions in the extended Selberg class. [PDF]
Inoue S, Eddin SS, Suriajaya AI.
europepmc +1 more source
On zeta-functions associated to certain cusp forms. I
Laurinčikas A., Steuding J.
doaj +1 more source
On the riemann zeta-function and the divisor problem
Ivić Aleksandar
doaj +1 more source
Beyond the LSD method for the partial sums of multiplicative functions. [PDF]
Granville A, Koukoulopoulos D.
europepmc +1 more source
On certain arithmetic functions involving the greatest common divisor
Krätzel Ekkehard +2 more
doaj +1 more source

