activity
20002023
most citedThe integrals in Gradshteyn and Ryzhik. Part 10: the digamma function

19 citations · 216 across the 64 of their papers we have counts for

collaborators

72 papers

math.CO2023

Symmetric tensor powers of graphs

Weymar Astaiza, Alexander J. Barrios, Henry Chimal-Dzul +5

The symmetric tensor power of graphs is introduced and its fundamental properties are explored. A wide range of intriguing phenomena occur when one considers symmetric tensor power…

math-ph2023

Evaluation of the second virial coefficient for the Mie potential using the method of brackets

Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll +1

The second virial coefficient for the Mie potential is evaluated using the method of brackets. This method converts a definite integral into a series in the parameters of the probl…

math.CV2021★ 10 cited

Mellin-Barnes and the method of brackets

Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll +1

The method of brackets is a method for the evaluation of definite integrals based on a small number of rules. This is employed here for the evaluation of Mellin-Barnes integral. Th…

math.CA2020

Filter integrals for orthogonal polynomials

Tewodros Amdeberhan, Adriana Duncan, Victor H. Moll +1

Motivated by an expression by Persson and Strang on an integral involving Legendre polynomials, stating that the square of integrated over is always , w…

math.NT2020

Arithmetic properties of the sum of divisors

Tewodros Amdeberhan, Victor H. Moll, Vaishavi Sharma +1

The divisor function denotes the sum of the divisors of the positive integer . For a prime and , the -adic valuation of is the highest power…

math.NT2020

A triple integral analog of a multiple zeta value

Tewodros Amdeberhan, Victor H. Moll, Armin Straub +1

We establish the triple integral evaluation \[ \int_{1}^{\infty} \int_{0}^{1} \int_{0}^{1} \frac{dz \, dy \, dx}{x(x+y)(x+y+z)} = \frac{5}{24} ζ(3), \] as well as the equivalent po…