Some wonderful formulae... Footnotes to Apery’s proof of the irrationality of ζ ( 3 )

Alfred J. Van der Poorten

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1978-1979)

  • Volume: 20, Issue: 2, page 1-7

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Van der Poorten, Alfred J.. "Some wonderful formulae... Footnotes to Apery’s proof of the irrationality of $\zeta (3)$." Séminaire Delange-Pisot-Poitou. Théorie des nombres 20.2 (1978-1979): 1-7. <http://eudml.org/doc/111041>.

@article{VanderPoorten1978-1979,
author = {Van der Poorten, Alfred J.},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {identities; values of polylogarithms},
language = {eng},
number = {2},
pages = {1-7},
publisher = {Secrétariat mathématique},
title = {Some wonderful formulae... Footnotes to Apery’s proof of the irrationality of $\zeta (3)$},
url = {http://eudml.org/doc/111041},
volume = {20},
year = {1978-1979},
}

TY - JOUR
AU - Van der Poorten, Alfred J.
TI - Some wonderful formulae... Footnotes to Apery’s proof of the irrationality of $\zeta (3)$
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1978-1979
PB - Secrétariat mathématique
VL - 20
IS - 2
SP - 1
EP - 7
LA - eng
KW - identities; values of polylogarithms
UR - http://eudml.org/doc/111041
ER -

References

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  1. [1] Apéry ( R.). - Irrationalité de ζ(2) et ζ(3) , "Journées arithmétiques de Luminy", Astérisque n° 61, 1979, p. 11-13. Zbl0401.10049
  2. [2] Beukers ( F.). - A note on the irrationality of ζ(2) and ζ(3) , Bull. London math. Soc., t. 11, 1979. Zbl0421.10023
  3. [3] Comtet ( L.). - Advanced combinatorial analysis. - Dordrecht, D. Reidel, 1974. 
  4. [4] Lewin ( L.). - Dilogarithms and associated functions. - London, Macdonald, 1958. Zbl0083.35904MR105524
  5. [5] Poorten ( A. van der). - A proof that Euler missed... Apéry's proof of the irrationality of ζ(3) , The mathematical Intelligencer, Berlin, t. 1, 1978, p. 195-203. Zbl0409.10028
  6. [6] Poorten ( A. van der). - Some wonderful formulas... an introduction to polylogarithms (manuscript in preparation; to appear in the proceedings of the meeting held at Queen's University, Kingston, Ontario, July, 1979). MR634694
  7. [7] Wilson ( J.A.). - Hypergeometric series, recurrence relations and some new orthogonal functions, Ph. D. Thesis, University of Wisconsin at Madison, 1978. 

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