New formulae of BBP-type Modulo 6

Abstract

By expressing infinite series in terms of definite integrals, we shall establish four formulae of BBP-type modulo 6 with an extra free parameter. Several new BBP-type formulae are consequently deduced.

Keywords: BBP-type formula, definite integral, partial fraction

Quaestiones Mathematicae 37(2014), 393-400