The Kazandzidis supercongruences. A simple proof and an application

Alain Robert; Maxime Zuber

Rendiconti del Seminario Matematico della Università di Padova (1995)

  • Volume: 94, page 235-243
  • ISSN: 0041-8994

How to cite

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Robert, Alain, and Zuber, Maxime. "The Kazandzidis supercongruences. A simple proof and an application." Rendiconti del Seminario Matematico della Università di Padova 94 (1995): 235-243. <http://eudml.org/doc/108373>.

@article{Robert1995,
author = {Robert, Alain, Zuber, Maxime},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {binomial coefficients; -adic gamma function; supercongruence; Legendre polynomial},
language = {eng},
pages = {235-243},
publisher = {Seminario Matematico of the University of Padua},
title = {The Kazandzidis supercongruences. A simple proof and an application},
url = {http://eudml.org/doc/108373},
volume = {94},
year = {1995},
}

TY - JOUR
AU - Robert, Alain
AU - Zuber, Maxime
TI - The Kazandzidis supercongruences. A simple proof and an application
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1995
PB - Seminario Matematico of the University of Padua
VL - 94
SP - 235
EP - 243
LA - eng
KW - binomial coefficients; -adic gamma function; supercongruence; Legendre polynomial
UR - http://eudml.org/doc/108373
ER -

References

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  1. [1] G.S. Kazandzidis, A commentary on Lagrange's congruence, D. Phil. Thesis, Oxford University1948, published version: Dept. of Mathematics, University of Ioannina, 1970. MR282914
  2. [2] G.S. Kazandzidis, Congruences on the binomial coefficients, Bull. Soc. Math. Grèce, (N.S.) 9, 1968, pp. 1-12. Zbl0179.06601MR265271
  3. [3] G.S. Kazandzidis, On congruences in number theory, Bull. Soc. Math. Grèce, (N.S.) 10, fasc. 1 (1969), pp. 35-40. Zbl0212.38801MR279027
  4. [4] W.H. Schikhof, Ultrametric Calculus-An Introduction to p-Adic Analysis, Cambridge Studies in Advanced Mathematics, 4, Cambridge University Press (1984). Zbl0553.26006MR791759
  5. [5] A. Robert, Polynômes de Legendre mod 4, Comptes Rendus Acad. Sci. Paris, 316, Série I (1993), pp. 1235-1240. Zbl0804.11064MR1226106
  6. [6] T. Honda, Two congruence properties of Legendre polynomials, Osaka J. Math., 13 (1976), pp. 131-133. Zbl0345.12101MR409485
  7. [7] M. Zuber, Propriétés p-adiques de polynômes classiques, Thèse, Université de Neuchâtel (1992). 
  8. [8] E. Artin, Collected Works, Addison-Wesley (1965). MR176888

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