Identities inspired by the Ramanujan Notebooks, second series

Details Identities inspired by the Ramanujan Notebooks, second series Identities inspired by the Ramanujan Notebooks, second series

2011-01-31

arxiv.org/abs/1101.6066v5

Mathematics

Number Theory

a collection of formulas found in 2006-2011

Scientific paper

A series of formula is presented that are all inspired by the Ramanujan Notebooks [6]. One of them appears in the notebooks II about Zeta(3). That formula inspired others that appeared in 1998, 2006 and 2009 on the author's website and later in literature [1][2][3]. New formulas for {\pi} and the Catalan constant are presented and a surprising series of approximations. A new set of identities is given for Eisenstein series. All of the formulas are conjectural since they were found experimentally. A new method for the computation of p(n) is presented.

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