On some arithmetical properties of middle binomial coefficients

Daniel Berend; Jorgen E. Harmse

Acta Arithmetica (1998)

  • Volume: 84, Issue: 1, page 31-41
  • ISSN: 0065-1036

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Daniel Berend, and Jorgen E. Harmse. "On some arithmetical properties of middle binomial coefficients." Acta Arithmetica 84.1 (1998): 31-41. <http://eudml.org/doc/207133>.

@article{DanielBerend1998,
author = {Daniel Berend, Jorgen E. Harmse},
journal = {Acta Arithmetica},
keywords = {weakly well-distributed sequences; middle binomial coefficent; congruence class},
language = {eng},
number = {1},
pages = {31-41},
title = {On some arithmetical properties of middle binomial coefficients},
url = {http://eudml.org/doc/207133},
volume = {84},
year = {1998},
}

TY - JOUR
AU - Daniel Berend
AU - Jorgen E. Harmse
TI - On some arithmetical properties of middle binomial coefficients
JO - Acta Arithmetica
PY - 1998
VL - 84
IS - 1
SP - 31
EP - 41
LA - eng
KW - weakly well-distributed sequences; middle binomial coefficent; congruence class
UR - http://eudml.org/doc/207133
ER -

References

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  2. [E] P. Erdős, On some divisibility properties of 2 n n , Canad. Math. Bull. 7 (1964), 513-518. Zbl0125.02306
  3. [EG] P. Erdős and R. L. Graham, Old and New Problems and Results in Combinatorial Number Theory, L'Enseignement Mathématique, Imprimerie Kundig, Geneva, 1980. Zbl0434.10001
  4. P. Erdős, R. L. Graham, I. Z. Ruzsa and E. G. Straus, On the prime factors of 2 n n , Math. Comp. 29 (1975), 83-92. Zbl0296.10008
  5. [EK] P. Erdős and G. Kolesnik, Prime power divisors of binomial coefficients, preprint. Zbl0952.11002
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  8. R. Graham, personal communication. 
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  14. [KN] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, New York, 1974. Zbl0281.10001
  15. [K] E. E. Kummer, Über die Ergänzungssätze zu den allgemeinen Reciprocitäts-gesetzen, J. Reine Angew. Math. 44 (1852), 93-146. 
  16. [L] E. Lucas, Théorie des fonctions numériques simplement périodiques, Amer. J. Math. 1 (1878), 184-240, 289-321. 
  17. [N] W. Narkiewicz, Uniform Distribution of Sequences of Integers in Residue Classes, Lecture Notes in Math. 1087, Springer, Berlin, 1984. Zbl0541.10001
  18. [R] M. Rosenblatt, Markov Processes. Structure and Asymptotic Behavior, Springer, Berlin, 1971. 
  19. [San] J. W. Sander, Prime power divisors of 2 n n , J. Number Theory 39 (1991), 65-74. Zbl0736.11011
  20. [Sár] A. Sárközy, On divisors of binomial coefficients, I, J. Number Theory 20 (1985), 70-80. Zbl0551.10002
  21. [V] G. Velammal, Is the binomial coefficient 2 n n squarefree?, Hardy-Ramanujan J. 18 (1995), 23-45. Zbl0817.11011

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