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 2011 · math.NTShow all

2 papers · 2 filters

math.NT2011

Variations of the Ramanujan polynomials and remarks on $ζ (2 j + 1) / π^{2 j + 1}$

Matilde Lalin, Mathew Rogers

We observe that five polynomial families have all of their zeros on the unit circle. We prove the statements explicitly for four of the polynomial families. The polynomials have co…

math.NT2011★ 43 cited

On the Mahler measure of $1 + X + 1/ X + Y + 1/ Y$

Mathew Rogers, Wadim Zudilin

We prove a conjectured formula relating the Mahler measure of the Laurent polynomial $1 + X + X^{- 1} + Y + Y^{- 1}$ , to the $L$ -series of a conductor 15 elliptic curve.

Variations of the Ramanujan polynomials and remarks on ζ(2j+1)/π2j+1

On the Mahler measure of 1+X+1/X+Y+1/Y

Variations of the Ramanujan polynomials and remarks on $ζ (2 j + 1) / π^{2 j + 1}$

On the Mahler measure of $1 + X + 1/ X + Y + 1/ Y$