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math.NT2014
Integrals of and 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 and . Our methods exploit the…
math.NT2013★ 10 cited
Moments of elliptic integrals and critical -values
M. Rogers, J. G. Wan, I. J. Zucker
We compute the critical -values of some weight 3, 4, or 5 modular forms, by transforming them into integrals of the complete elliptic integral . In doing so, we prove closed…