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

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2 papers · 1 filter

math-ph2012★ 25 cited

Spanning tree generating functions and Mahler measures

Anthony J. Guttmann, Mathew D. Rogers

We define the notion of a spanning tree generating function (STGF) $\sum a_{n} z^{n}$ , which gives the spanning tree constant when evaluated at $z = 1,$ and gives the lattice Green funct…

math-ph2012★ 2 cited

An integral arising from the chiral sl(n) Potts model

Anthony J. Guttmann, Mathew D. Rogers

We show that the integral $J (t) = (1/ π^{3}) \int_{0}^{π} \int_{0}^{π} \int_{0}^{π} d x d y d z lo g (t - cos x - cos y - cos z + cos x cos y cos z)$ , can be expressed in terms of $_{5} F_{4}$ hy…