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pro vyhledávání: '"Tran, Duc Van Khanh"'
Autor:
Somu, Sai Teja, Tran, Duc Van Khanh
Publikováno v:
Journal of Integer Sequences, 27(5), Article 24.5.1, 2024
Practical numbers are positive integers $n$ such that every positive integer less than or equal to $n$ can be written as a sum of distinct positive divisors of $n$. In this paper, we show that all positive integers can be written as a sum of a practi
Externí odkaz:
http://arxiv.org/abs/2403.13533
A positive integer $n$ is said to be a Zumkeller number or an integer-perfect number if the set of its positive divisors can be partitioned into two subsets of equal sums. In this paper, we prove several results regarding Zumkeller numbers. For any p
Externí odkaz:
http://arxiv.org/abs/2310.14149
Let $G$ be a finite solvable permutation group acting faithfully and primitively on a finite set $\Omega$. Let $G_0$ be the stabilizer of a point $\alpha \in \Omega$ The rank of $G$ is defined as the number of orbits of $G_0$ in $\Omega$, including t
Externí odkaz:
http://arxiv.org/abs/2308.13043
Autor:
Tran, Duc Van Khanh
There have been many works on proving the integrals in the table of integrals compiled by Gradshteyn and Ryzhik, and in this paper we prove some doubly logarithmic integral identities in the Gradshteyn and Ryzhik table.
Externí odkaz:
http://arxiv.org/abs/2307.09290
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 December 2023 528(1)
Publikováno v:
Journal of Group Theory; Nov2024, Vol. 27 Issue 6, p1287-1303, 17p
Autor:
Tran, Duc Van Khanh
In the paper "Integrals, an Introduction to Analytic Number Theory," Vardi proved the integral identity $\int_{π/4}^{π/2} \ln{\ln{\tan{x}}}\,dx = \fracπ{2}\ln{\left(\frac{Γ\left(\frac{3}{4}\right)}{Γ\left(\frac{1}{4}\right)}\sqrt{2π}\right)}$ i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f01b0ea8df5718f6dbfe5ed120c4211
Autor:
Dannetun, Eric1 (AUTHOR), Fang, Bruce2 (AUTHOR), Formenti, Riccardo3 (AUTHOR), Gao, Bo Y.4 (AUTHOR), Geraci, Juliann5 (AUTHOR), Kogel, Ross6 (AUTHOR), Li, Yuelin7 (AUTHOR), Mandal, Shreya8 (AUTHOR), Rupasinghe, Vinuge9 (AUTHOR), Seceleanu, Alexandra5 (AUTHOR) aseceleanu@unl.edu, Tran, Duc Van Khanh10 (AUTHOR), Walker, Noah11 (AUTHOR)
Publikováno v:
Journal of Algebra & Its Applications. Jul2024, p1. 18p.