Corpus ID: 799184

Ramanujan-type formulae for 1/pi: a second wind?

@article{Zudilin2008RamanujantypeFF,
  title={Ramanujan-type formulae for 1/pi: a second wind?},
  author={Wadim Zudilin},
  journal={arXiv: Number Theory},
  year={2008},
  pages={179-188}
}
  • W. Zudilin
  • Published 9 December 2007
  • Mathematics
  • arXiv: Number Theory
In 1914 S. Ramanujan recorded a list of 17 series for 1=…. We survey the methods of proofs of Ramanujan’s formulae and indicate recently discovered generalisations, some of which are not yet proven. Let us start with two signiflcant events of the 20th century, in the opposite historical order. At flrst glance, the stories might be thought of a difierent nature. 
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Abstract In this article, we construct a general series for 1 π . We indicate that Ramanujan's 1 π -series are all special cases of this general series and we end the paper with a new class of 1 πExpand
Ramanujan-type formulae and irrationality measures of some multiples of $ {\pi}$
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On page 212 of his lost notebook, Ramanujan defined a new class invariant λ n and constructed a table of values for λ n . The paper constructs a new class of series for 1/π associated with λ n . TheExpand
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TLDR
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A Proof that Euler Missed...
The board of programme changes informed us that R. Apery (Caen) would speak Thursday, 14.00 “Sur l’irrationalite de ζ(3).” Though there had been earlier rumours of his claiming a proof, scepticismExpand
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