19 citations · 81 across the 22 of their papers we have counts for
6 papers · 1 filter
The evaluation of Tornheim double sums. Part2
Olivier Espinosa, Victor H. Moll
We provide an explicit formula for the Tornheim double series T(a,0,c) in terms of an integral involving the Hurwitz zeta function. For integer values of the parameters, a=m, c=n,…
The action of Hecke operators on hypergeometric functions
Victor H. Moll, Sinai Robins, K. Soodhalter
We study the action of Hecke operators on the set of hypergeometric functions. We show that the spectrum of these operators is the set of powers n^a and that polylogarithms play a…
An elementary trigonometric equation
Victor H. Moll
A systematic study of the trigonometric equation A tan a + B sin b = C, where A, B and C^2 are rational numbers. The special case tan Pi/11 + 4 sin 3 Pi/11 = sqrt[11] appears in th…
Asymptotic valuations of sequences satisfying first order recurrences
T. Amdeberhan, L. Medina, Victor H. Moll
Let t[n] be a sequence that satisfies a first order homogeneous recurrence t[n] = Q[n]*t[n-1], where Q is a polynomial with integer coefficients. The asymptotic behavior of the p-a…
The 2-adic valuations of Stirling numbers
Tewodros Amdeberhan, Dante Manna, Victor H. Moll
The 2-adic valuation of the Stirling numbres is examined. We conjecture pattrens about the distributions of these valuations in residue classes modulo powers of 2.
The 2-adic valuation of a sequence arising from a rational integral
Tewodros Amdeberhan, Dante Manna, Victor H. Moll
We analyze properties of the 2-adic valuations of an integer sequence that originates from an explicit evaluation of a quartic integral. We also give a combinatorial interpretation…