44 citations · 157 across the 19 of their papers we have counts for
17 papers · 1 filter
The Mahler measure of a Calabi-Yau threefold and special L-values
Matthew A. Papanikolas, Mathew D. Rogers, Detchat Samart
The aim of this paper is to prove a Mahler measure formula of a four-variable Laurent polynomial whose zero locus defines a Calabi-Yau threefold. We show that its Mahler measure is…
Moments of elliptic integrals and critical -values
M. Rogers, J. G. Wan, I. J. Zucker
We compute the critical -values of some weight 3, 4, or 5 modular forms, by transforming them into integrals of the complete elliptic integral . In doing so, we prove closed…
Secant Zeta Functions
Matilde Lalín, Francis Rodrigue, Mathew Rogers
We study the series , and prove that it converges under mild restrictions on and . The function possesses a modular transformati…
A solution of Sun's $520 challenge concerning 520/pi
Mathew Rogers, Armin Straub
We prove a Ramanujan-type formula for conjectured by Sun. Our proof begins with a hypergeometric representation of the relevant double series, which relies on a recent gene…
Identities for the Ramanujan zeta function
Mathew Rogers
We prove formulas for special values of the Ramanujan tau zeta function. Our formulas show that is a period in the sense of Kontsevich and Zagier when . As an ill…
Ramanujan series upside-down
Jesús Guillera, Mathew Rogers
We prove that there is a correspondence between Ramanujan-type formulas for 1/π, and formulas for Dirichlet L-values. The same method also allows us to resolve certain values of th…