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 2011Show all

3 papers · 1 filter

math.CA2011

Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi

Bruce C. Berndt, George Lamb, Mathew Rogers

We evaluate in closed form, for the first time, certain classes of double series, which are remindful of lattice sums. Elliptic functions, singular moduli, class invariants, and th…

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.

Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi

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 $1 + X + 1/ X + Y + 1/ Y$