Results 191 to 200 of about 41,624 (236)

CFT Correlators and Mapping Class Group Averages. [PDF]

Commun Math Phys
Romaidis I, Runkel I.
europepmc   +1 more source

A Survey of Lattice-Based Physical-Layer Security for Wireless Systems with <i>p</i>-Modular Lattice Constructions. [PDF]

Entropy (Basel)
Khodaiemehr H, Bagheri K, Mohajer A, Feng C, Panario D, Leung VCM.   +5 more
europepmc   +1 more source

Computer aided greenness by design approach for resolving and quantifying Triamterene and Hydrochlorothiazide in pharmaceutical mixtures employing multiscale dynamics simulations. [PDF]

Sci Rep
Elsonbaty A, Attala K, Darweish E.
europepmc   +1 more source

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The Complex Sum of Divisors

The American Mathematical Monthly, 1961
(1961). The Complex Sum of Divisors. The American Mathematical Monthly: Vol. 68, No. 2, pp. 120-124.
R. Spira
semanticscholar   +4 more sources

The sum of divisors function and the Riemann hypothesis

Ramanujan Journal, 2021
J. Nicolas
semanticscholar   +3 more sources

On the sum of divisors function

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2013
The following assertion is proved. Let Q1;Q2 be odd primes, AQ1;Q2(x) be the number of those n x for which Q1 - (n);Q2 - (n+1) simultaneously hold. Then AQ1;Q2(x) cx (log x)5 , if x > X0. c, X0 are positive constants.
N. Bassily
semanticscholar   +2 more sources

ON THE ALTERNATING SUM-OF-DIVISORS

JP Journal of Algebra, Number Theory and Applications
Summary: We show that the alternating sum-of-divisors \[ \chi(N) = d_1 - d_2 + d_3 -\cdots +(-1)^{m-1}d_m, \] where \(N = d_1>d_2> d_3 > \cdots > d_m = 1\), even if not a multiplicative function, has good factorization properties for a special class of integers \(N\) which we call ``of a superincreasing type'' -- with factorization \(N = p_1^{\alpha_1}
Mihai Caragiu, Kaleb Swieringa
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On power values of sum of divisors function in arithmetic progressions

Indian journal of pure and applied mathematics, 2022
Let $$a\ge 1, b\ge 0$$ a ≥ 1 , b ≥ 0 and $$k\ge 2$$ k ≥ 2 be any given integers. It has been proven that there exist infinitely many natural numbers m such that sum of divisors of m is a perfect k th power.
Sai Teja Somu, Vidyanshu Mishra
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Identities involving sum of divisors, integer partitions and compositions

Online Journal of Analytic Combinatorics, 2022
In this paper we show some identities come from the \( q \)-identities of Euler, Jacobi, Gauss, and Rogers-Ramanujan. Some of these identities relate the function sum of divisors of a positive integer \( n \) and the number of integer partitions of \( n \
M. Alegri
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p-adic Valuation of the Sum of Divisors

Frontiers of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun-Jia Zhao, Yonggao Chen
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