Congruences de Ramanujan

Gilles Christol

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1966-1967)

  • Volume: 8, Issue: 1, page 1-14

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Christol, Gilles. "Congruences de Ramanujan." Séminaire Delange-Pisot-Poitou. Théorie des nombres 8.1 (1966-1967): 1-14. <http://eudml.org/doc/110681>.

@article{Christol1966-1967,
author = {Christol, Gilles},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {combinatorics},
language = {fre},
number = {1},
pages = {1-14},
publisher = {Secrétariat mathématique},
title = {Congruences de Ramanujan},
url = {http://eudml.org/doc/110681},
volume = {8},
year = {1966-1967},
}

TY - JOUR
AU - Christol, Gilles
TI - Congruences de Ramanujan
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1966-1967
PB - Secrétariat mathématique
VL - 8
IS - 1
SP - 1
EP - 14
LA - fre
KW - combinatorics
UR - http://eudml.org/doc/110681
ER -

References

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  1. [1] Abdik ( A.). - Problème de partitions, Séminaire Delange-Pisot-Poitou : Théorie des nombres, 2e année, 1960/61, n° 13, 8 p. 
  2. [2] Briot ( C.) et Bouquet ( J.-C.) . - Théorie des fonctions elliptiques. 2e édition. Paris, Gauthier-Villars, 1875. JFM07.0262.01
  3. [3] Darling ( H.B.C. ). - Proofs of certain identities and congruences enunciated by S. Ramanujan, Proc. London math. Soc. , Series 2, t. 19, 1921, p. 350-372. Zbl48.0151.01JFM48.0151.01
  4. [4] Enneper ( A.). - Elliptische Funktionen. 2te Auflage. - Halle-am-Saale, L. Nepert, 1890. 
  5. [5] Lehmer ( D.H.). - On the series for the partition function, Trans. Amer. math. Soc., t. 43, 1938, p. 271-295. Zbl0018.10703MR1501943
  6. [6] Mordell ( L.J. ) . - Note on certain modular relations considered by MM. Ramanujan, Darling and Rogers, Proc. London math. Soc., Series 2, t. 20, 1922, p. 408-416. Zbl48.0151.03JFM48.0151.03
  7. [7] Rademacher ( H.). - A convergent series for the partition function p(n) , Proc. Nat. Acad. Sc., t. 23, 1937, p. 78-84. Zbl0016.24603
  8. [8] Rademacher ( H.) and Zuckermann ( H.S.). - A new proof of two of Ramanujan's identities, Annals of Math., Series 2, t. 40, 1939, p. 473-489. Zbl65.0160.01MR1503472JFM65.0160.01
  9. [9] Rademacher ( H.) and Zuckermann ( H.S.). - On the Fourier coefficients of certain modular forms of positive dimension, Annals of Math., Series 2, t. 39, 1938, p. 433-462. Zbl64.0121.01MR1503417JFM64.0121.01
  10. [10] Watson ( G.N.). - Ramanujans Vermutung über Zerfallungsanzahlen, J. für reine und angew. Mathematik (Journal de Crelle), t. 179, 1938, p. 97-128. Zbl0019.15302
  11. [11] Whiteman ( A.L. ) . - A sum connected with the series for the partition function, Pacific J. of Math., t. 6, 1956, p. 159-176. Zbl0071.04004MR80122
  12. [12] Zuckermann ( H.S. ) . - Identities analogous to Ramanujan's identities involving the partition function, Duke math. J., t. 5, 1939, p. 88-110. Zbl65.0160.02MR1546110JFM65.0160.02
  13. [13] Zuckermann ( H.S.). - On the coefficients of certain modular forms belonging to subgroups of the modular group, Trans. Amer. math. Soc., t. 45, 1939, p. 298-321. Zbl65.0352.01MR1501993JFM65.0352.01

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