Results 81 to 90 of about 63,567 (182)

Extremal orders of some functions connected to regular integers modulo n

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
Let V (n) denote the number of positive regular integers (mod n) less than or equal to n. We give extremal orders of , , , , where σ(n), ψ(n) are the sum-of-divisors function and the Dedekind function, respectively. We also give extremal orders for and ,
Brăduţ Apostol
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Modularity of arithmetic special divisors for unitary Shimura varieties (with an appendix by Yujie Xu)

Forum of Mathematics, Sigma
We construct explicit generating series of arithmetic extensions of Kudla’s special divisors on integral models of unitary Shimura varieties over CM fields with arbitrary split levels and prove that they are modular forms valued in the arithmetic Chow ...
Congling Qiu, Yujie Xu
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On certain arithmetical products involving the divisors of an integer [PDF]

Notes on Number Theory and Discrete Mathematics
We study the arithmetical products Π d^d, Πd^{1/d} and Πd^{log d}, where d runs through the divisors of an integer n>1.
József Sándor
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An analogue in certain unique factorization domains of the Euclid-Euler theorem on perfect numbers

International Journal of Mathematics and Mathematical Sciences, 1990
We show that there exists a natural extention of the sum of divisors function to all unique factorization domains F having a finite number of units such that if a perfect number in F is defined to be an integer η whose proper divisors sum to η, then the ...
Wayne L. McDaniel
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Zero divisors of support size $3$ in group algebras and trinomials divided by irreducible polynomials over $GF(2)$

, 2019
A famous conjecture about group algebras of torsion-free groups states that there is no zero divisor in such group algebras. A recent approach to settle the conjecture is to show the non-existence of zero divisors with respect to the length of possible ...
Abdollahi, Alireza, Taheri, Zahra
core  

On the Bivariate Vector-Valued Rational Interpolation and Recovery Problems

Axioms
This paper investigates bivariate vector-valued rational interpolation and recovery problems with common divisors in their denominators. By leveraging these shared divisors and employing a component-wise rational interpolation approach, we reduce the ...
Lixia Xiao, Peng Xia, Shugong Zhang
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Shifted divisor problem and random divisor problem

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1993
Let \(\alpha\), \(\beta\) be fixed constants with ...
openaire   +2 more sources

Noncommutativity and noncentral zero divisors

International Journal of Mathematics and Mathematical Sciences, 1999
Let R be a ring, Z its center, and D the set of zero divisors. For finite noncommutative rings, it is known that D\Z≠∅. We investigate the size of |D\Z| in this case and, also, in the case of infinite noncommutative rings with D\Z≠∅.
Howard E. Bell, Abraham A. Klein
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The Divisors’ Hyperoperations

Ratio Mathematica, 2013
In the set N of the Natural Numbers we define two hyperoperations based on the divisors of the addition and multiplication of two numbers. Then, the properties of these two hyperoperations are studied together with the resulting hyperstructures ...
Achilles Dramalidis
doaj  

On weakly prime-additive numbers with length $4k+3$

Comptes Rendus. Mathématique
If a positive integer $n$ has at least two distinct prime divisors and can be written as $n=p_1^{\alpha _1}+\dots +p_t^{\alpha _t}$, where $p_13$, there exist infinitely many weakly prime-additive numbers $n$ with $m\mid n$ and $n=p_1^{\alpha _1}+\dots ...
Fang, Jin-Hui, Xue, Fang-Gang
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