44 citations · 157 across the 19 of their papers we have counts for
5 papers · 1 filter
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…
Spanning tree generating functions and Mahler measures
Anthony J. Guttmann, Mathew D. Rogers
We define the notion of a spanning tree generating function (STGF) , which gives the spanning tree constant when evaluated at and gives the lattice Green funct…
An integral arising from the chiral sl(n) Potts model
Anthony J. Guttmann, Mathew D. Rogers
We show that the integral , can be expressed in terms of hy…
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…