44 citations · 157 across the 19 of their papers we have counts for
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math.NT2010★ 44 cited
From -series of elliptic curves to Mahler measures
Mathew Rogers, Wadim Zudilin
We prove the conjectural relations between Mahler measures and -values of elliptic curves of conductors 20 and 24. We also present new hypergeometric expressions for -values…
math.NT2010★ 3 cited
Mahler measure and the WZ algorithm
Jesús Guillera, Mathew Rogers
We use the Wilf-Zeilberger method to prove identities between Mahler measures of polynomials. In particular, we offer a new proof of a formula due to Lalín, and we show how to tran…
math.NT2010★ 1 cited
Modular equations and lattice sums
Mathew Rogers, Boonrod Yuttanan
We highlight modular equations discovered by Somos and Ramanujan, and use them to prove new relations between lattice sums and hypergeometric functions. We also discuss progress to…