Results 1 to 10 of about 63,567 (182)

Adjoint divisors and free divisors [PDF]

Journal of Singularities, 2013
We describe two situations where adding the adjoint divisor to a divisor D with smooth normalization yields a free divisor. Both also involve stability or versality.
Mond, David, Schulze, Mathias
core   +2 more sources

A novel approach to explore common prime divisor graphs and their degree based topological descriptor. [PDF]

PLoS ONE
For the construction of a common prime divisor graph, we consider an integer [Formula: see text] with its prime factorization, where [Formula: see text] are distinct primes and [Formula: see text] are fixed positive integers. Every divisor of the integer
Ali N A Koam, Azeem Haider, Ali Ahmad, Moin Akhtar Ansari   +3 more
doaj   +2 more sources

The mean value of the function d(n)/d*(n) in arithmetic progressions [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
Let d(n) and d*(n) be, respectively, the number of divisors and the number of unitary divisors of an integer n≥1. A divisor d of an integer is to be said unitary if it is prime over n/d.
Ouarda Bouakkaz, Abdallah Derbal
doaj   +1 more source

New properties of divisors of natural number [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
The divisors of a natural number are very important for several areas of mathematics, representing a promising field in number theory. This work sought to analyze new relations involving the divisors of natural numbers, extending them to prime numbers ...
Hamilton Brito da Silva
doaj   +1 more source

Families of Ramanujan-Type Congruences Modulo 4 for the Number of Divisors

Axioms, 2022
In this paper, we explore Ramanujan-type congruences modulo 4 for the function σ0(n), counting the positive divisors of n. We consider relations of the form σ08(αn+β)+r≡0(mod4), with (α,β)∈N2 and r∈{1,3,5,7}.
Mircea Merca
doaj   +1 more source

Alternatif Bir Kakuro Oyunu ile Doğal Sayıların Çarpanları Konusunun Öğretimi: Çarpanlar Oyunu

Anadolu Üniversitesi Eğitim Fakültesi dergisi, 2023
Zekâ oyunu öğrencilerin çeşitli zihinsel becerilerini işe koştuğu, problemlerin oyunlaştırılmış hali olarak tanımlanmaktadır. Ülkemizde zekâ oyunları 2013 yılından itibaren okullarda seçmeli ders olarak okutulmakta, bu derslerde öğrencilere farklı türden
Gonca İnceoğlu, Murat Koparan, Osman Bağdat   +2 more
doaj   +1 more source

Zero-divisor graphs and zero-divisor functors

Journal of Algebra and Its Applications, 2023
Inspired by a very recent work of A. Đurić, S. Jevđenić and N. Stopar, we introduce a new definition of zero-divisor graphs attached to rings that includes all of the classical definitions already known in the literature. We provide an interpretation of such graphs by means of a functor that we call zero-divisor functor and which is associated with a ...
Enrico Sbarra, Maurizio Zanardo
openaire   +3 more sources

Ramanujan-type congruences modulo 4 for partitions into distinct parts

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this paper, we consider the partition function Q(n) counting the partitions of n into distinct parts and investigate congruence identities of the form Q(p⋅n+p2-124)≡0   (mod4),Q\left( {p \cdot n + {{{p^2} - 1} \over {24}}} \right) \equiv 0\,\,\,\left(
Merca Mircea
doaj   +1 more source

Plane Partitions and a Problem of Josephus

Mathematics, 2023
The Josephus Problem is a mathematical counting-out problem with a grim description: given a group of n persons arranged in a circle under the edict that every kth person will be executed going around the circle until only one remains, find the position ...
Mircea Merca
doaj   +1 more source

On odd integers and their couples of divisors

Ratio Mathematica, 2021
A composite odd integer can be expressed as product of two odd integers. Possibly this decomposition is not unique. From 2n + 1 = (2i + 1)(2j + 1) it follows that n = i + j + 2ij. This form of n characterizes the composite odd integers.
Giuseppe Buffoni
doaj   +1 more source