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math.NT2018
Evaluations of Series Related to Jacobi Elliptic Functions
Nikos Bagis
In this article we give evaluations of certain series of hyperbolic functions using Jacobi elliptic functions theory. We also define some new functions that enable us to give chara…
math.NT2009★ 8 cited
Integrals related with Rogers Ramanujan continued fraction and q-products
Nikos Bagis, M. L. Glasser
We present here a way to evaluate a very wide class of integrals relating Ramanujans continued fraction and q-product. To do this we explore briefily a differential equation, which…
math.NT2009
Approximation of Sums of Primes
Nikos Bagis
In this work we consider sums of primes that converging very slow. We set as a base, a reformulation of analytic prime number theorem and we use the values of Riemann Zeta function…