Mathew Rogers

activity

20062013

most citedFrom

L

-series of elliptic curves to Mahler measures

44 citations · 157 across the 19 of their papers we have counts for

collaborators

Showing 2013 · math.NTShow all

3 papers · 2 filters

math.NT2013

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…

math.NT2013★ 10 cited

Moments of elliptic integrals and critical $L$ -values

M. Rogers, J. G. Wan, I. J. Zucker

We compute the critical $L$ -values of some weight 3, 4, or 5 modular forms, by transforming them into integrals of the complete elliptic integral $K$ . In doing so, we prove closed…

math.NT2013

Secant Zeta Functions

Matilde Lalín, Francis Rodrigue, Mathew Rogers

We study the series $ψ_{s} (z) := \sum_{n = 1}^{\infty} sec (nπ z) n^{- s}$ , and prove that it converges under mild restrictions on $z$ and $s$ . The function possesses a modular transformati…

The Mahler measure of a Calabi-Yau threefold and special L-values

Moments of elliptic integrals and critical L-values

Secant Zeta Functions

Moments of elliptic integrals and critical $L$ -values