On page 45 of his lost notebook, Ramanujan recorded two asymptotic formulas for two continued fractions involving the Riemann zeta-function and Dirichlet L-functions. The paper proves a more general theorem and derives Ramanujan's claims as a corollary of the theorem.
Bibliographical noteFunding Information:
The rst author’s research was sponsored by grant MDA904-00-1-0015 from the National Security Agency.
All Science Journal Classification (ASJC) codes