Results 61 to 70 of about 41,624 (236)
On a function related to Ramanujan's Tau function
International Journal of Mathematics and Mathematical Sciences, 1985 For the function ψ=ψ12, defined by ∑1∞ψ(n)xn=x∏1∞(1−x2n)12 (|x|
John A. Ewell
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Arithmetic convolution sums derived from eta quotients related to divisors of 6
Open Mathematics, 2022 The aim of this paper is to find arithmetic convolution sums of some restricted divisor functions. When divisors of a certain natural number satisfy a suitable condition for modulo 12, those restricted divisor functions are expressed by the coefficients ...
Ikikardes Nazli Yildiz +2 more
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Exponential and infinitary divisors [PDF]
, 2014 Our paper is devoted to several problems from the field of modified divisors: namely exponential and infinitary divisors. We study the behaviour of modified divisors, sum-of-divisors and totient functions.
Lelechenko, Andrew V.
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On the composition of the Euler function and the sum of divisors function
Colloquium Mathematicum, 2007 J. Koninck, F. Luca
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Wheat flour particle size: Influence of mill design and effects on quality and performance
JSFA reports, EarlyView.Abstract Among the various characteristics of wheat (Triticum aestivum) flour, particle size is of paramount importance globally. The industrial process of separating the three main components (endosperm, bran, and germ) must ensure that the desired quality is delivered to customers through a progressive reduction in the size of the endosperm until the
Ricardo Barroso Lopes +3 more
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A Novel Two‐Stage Flexible Flow Shop Batch Scheduling Model for Grinding Workshops
Naval Research Logistics (NRL), EarlyView.ABSTRACT The growing need for data storage in data centers has increased the demand for mechanical hard disks due to their low cost and high reliability. Aluminum substrates are the most popular base plates for mechanical hard disks because of their high hardness and low cost.
Jun Xu +4 more
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The irrationality of a number theoretical series
, 2006 Denote by $\sigma_k(n)$ the sum of the $k$-th powers of the divisors of $n$, and let $S_k=\sum_{n\geq 1}\frac{\sigma_k(n)}{n!}$. We prove that Schinzel's conjecture H implies that $S_k$ is irrational, and give an unconditional proof for the case $k=3$
A. Schinzel +5 more
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Quarterly Journal of the Royal Meteorological Society, EarlyView.We investigate whether Central European heatwaves (HWs) forming under omega blocking differ from those enabled by subtropical ridges, in terms of both air‐mass origin and processes warming air parcels along their way. Using ERA5‐based backward trajectories and a Lagrangian temperature anomaly decomposition, we identify significant differences in the ...
Alexander Lemburg +3 more
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Extensions of MacMahon’s sums of divisors
Research in the Mathematical SciencesIn 1920, P. A. MacMahon generalized the (classical) notion of divisor sums by relating it to the theory of partitions of integers. In this paper, we extend the idea of MacMahon. In doing so we reveal a wealth of divisibility theorems and unexpected combinatorial identities.
Tewodros Amdeberhan +2 more
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New Semi-Prime Factorization and Application in Large RSA Key Attacks
Journal of Cybersecurity and Privacy, 2021 Semi-prime factorization is an increasingly important number theoretic problem, since it is computationally intractable. Further, this property has been applied in public-key cryptography, such as the Rivest–Shamir–Adleman (RSA) encryption systems for ...
Anthony Overmars +1 more
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