39 citations · 95 across the 21 of their papers we have counts for
21 papers
Curious multisection identities by index factorization
C. Vignat, M. Milgram
This manuscript introduces a general multisection identity expressed equivalently in terms of infinite double products and/or infinite double series, from which several new product…
A Curious Trigonometric Infinite Product in Context
Michael Milgram
By treating the multiple argument identity of the logarithm of the Gamma function as a functional equation, we obtain a curious infinite product representation of the functi…
Determining the Indeterminate: On the Evaluation of Integrals that connect Riemann's, Hurwitz' and Dirichlet's Zeta, Eta and Beta functions
Michael Milgram
By applying the inverse Mellin transform to some simple closed form identities, a number of relationships are established that connect integrals containing Riemann's and Hurwitz' z…
A Series Representation for Riemann's Zeta Function and some Interesting Identities that Follow
Michael Milgram
Using Cauchy's Integral Theorem as a basis, what may be a new series representation for Dirichlet's function , and hence Riemann's function , is obtained in terms of th…
Some Additions to a Family of Sums and Integrals related to Hurwitz' Zeta Function(s), Euler polynomials and Euler Numbers
Michael Milgram
Integrals involving the kernel function over a semi-infinite range are of general interest in the study of Riemann's function and Hurwitz' function . Suc…
An Integral Equation for Riemann's Zeta Function and its Approximate Solution
Michael Milgram
Two identities extracted from the literature are coupled to obtain an integral equation for Riemann's function, and thus indirectly. The equation has a number of simp…