Results 21 to 30 of about 60 (54)
Arithmetic functions associated with infinitary divisors of an integer
, 1993 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
Open MathematicsAsymptotic 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
Forum of Mathematics, PiWe 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
Quadratic Difference Operators and Structural Compression in the Erdős–Rankin Prime Gap Problem
Using the 52 known even perfect numbers, this paper identifies underlying structural regularities by projecting discrete arithmetic patterns into a continuous geometric space via a characteristic quadratic mapping.
Shang Yu Chen
core +1 more source
Predictive Geometric Analysis of Even Perfect Numbers
Using the 52 known even perfect numbers, this paper identifies underlying structural regularities by projecting discrete arithmetic patterns into a continuous geometric space via a characteristic quadratic mapping.
Shang Yu Chen
core +1 more source
Contributions to Analytic Number Theory
, 2004 This paper reports on some recent contributions to the theory of multiplicative arithmetic semigroups, which have been initiated by John Knopfmacher's work on analytic number theory. They concern weighted inversion theorems of the Wiener type, mean-
Lucht, Lutz G
core
ℓ-generalized prime factors counting functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaTo study the number of extra prime factors beyond the first ℓ − 1 occurrences of a prime p in the factorization of an integer n, this paper introduces the ℓ-generalized prime factors counting arithmetic function ΩA,ℓ.
Gaber Ahmed
doaj +1 more source
Log-convexity and the overpartition function. [PDF]
Ramanujan J, 2023 Mukherjee G.
europepmc +1 more source
Stieltjes constants of L-functions in the extended Selberg class. [PDF]
Ramanujan J, 2021 Inoue S, Eddin SS, Suriajaya AI.
europepmc +1 more source
On zeta-functions associated to certain cusp forms. I
Open Mathematics, 2004 Laurinčikas A., Steuding J.
doaj +1 more source