I. Zucker

activity

20072014

most citedMoments of elliptic integrals and critical

L

-values

10 citations · 18 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2014

Integrals of $K$ and $E$ from Lattice Sums

J. G. Wan, I. J. Zucker

We give closed form evaluations for many families of integrals, whose integrands contain algebraic functions of the complete elliptic integrals $K$ and $E$ . Our methods exploit the…

math.NT2013★ 10 cited

Moments of elliptic integrals and critical $L$ -values

M. Rogers, J. G. Wan, I. J. Zucker

We compute the critical $L$ -values of some weight 3, 4, or 5 modular forms, by transforming them into integrals of the complete elliptic integral $K$ . In doing so, we prove closed…

math-ph2007★ 8 cited

Dirichlet L-series with real and complex characters and their application to solving double sums

I. J. Zucker, R. C. McPhedran

A description of the properties of Łwith complex characters is given. By using these, together with the more familiar Łwith real characters, it is shown how certain two dimensional…

Integrals of K and E from Lattice Sums

Moments of elliptic integrals and critical L-values

Dirichlet L-series with real and complex characters and their application to solving double sums

Integrals of $K$ and $E$ from Lattice Sums

Moments of elliptic integrals and critical $L$ -values