where d, k, a, b, c are integers, B(n) = n!−5 C(n) or B(n) = (−1)nn!−5C(n), and C(n) is the product of 5 rising factorials of fractions smaller than unity satisfying the following condition: For… (More)

We give several conjectures which allow us to derive many series for 1/π and 1/π2. These series include Ramanujan’s series, as well as those associated with the Domb numbers and Apéry numbers. We… (More)

Using the second conjecture in the paper [10] of the author and inspired by the theory of modular functions we find a method which allows us to obtain explicit formulae, involving η or θ functions,… (More)

In this paper we prove theorems related to the Ramanujan-type series for 1/π (type 3F2) and to the Ramanujan-like series, discovered by the author, for 1/π (type 5F4). Our developments for the cases… (More)

Observing those WZ-demostrable generalizations of the Ramanujan-type series that were already known, we get the insight to make some assumptions concerning the rational parts of those WZ-pairs that… (More)

We use the Wilf-Zeilberger method to prove identities between Mahler measures of polynomials. In particular, we offer a new proof of a formula due to Laĺın, and we show how to translate the identity… (More)