Asymptotic behavior of Pascal's triangle modulo a prime

Brad Wilson

Acta Arithmetica (1998)

  • Volume: 83, Issue: 2, page 105-116
  • ISSN: 0065-1036

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Brad Wilson. "Asymptotic behavior of Pascal's triangle modulo a prime." Acta Arithmetica 83.2 (1998): 105-116. <http://eudml.org/doc/207108>.

@article{BradWilson1998,
author = {Brad Wilson},
journal = {Acta Arithmetica},
keywords = {Pascal's triangle; binomial coefficients; Kummer's theorem; asymptotic behaviour},
language = {eng},
number = {2},
pages = {105-116},
title = {Asymptotic behavior of Pascal's triangle modulo a prime},
url = {http://eudml.org/doc/207108},
volume = {83},
year = {1998},
}

TY - JOUR
AU - Brad Wilson
TI - Asymptotic behavior of Pascal's triangle modulo a prime
JO - Acta Arithmetica
PY - 1998
VL - 83
IS - 2
SP - 105
EP - 116
LA - eng
KW - Pascal's triangle; binomial coefficients; Kummer's theorem; asymptotic behaviour
UR - http://eudml.org/doc/207108
ER -

References

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  1. [1] N. J. Fine, Binomial coefficients modulo a prime, Amer. Math. Monthly 54 (1947), 589-592. Zbl0030.11102
  2. [2] H. Harborth, Number of odd binomial coefficients, Proc. Amer. Math. Soc. 62 (1977), 19-22. Zbl0323.10043
  3. [3] E. E. Kummer, Über die Ergänzungssätze zu den allgemeinen Reciprocitätsgesetzen, J. Reine Angew. Math. 44 (1852), 93-146. 
  4. [4] A. H. Stein, Binomial coefficients not divisible by a prime, in: Number Theory, Lecture Notes in Math. 1383, Springer, New York, 1989, 170-177. 
  5. [5] K. B. Stolarsky, Digital sums and binomial coefficients, Notices Amer. Math. Soc. 22 (1975), A-669. 
  6. [6] K. B. Stolarsky, Power and exponential sums of digital sums related to binomial coefficient parity, SIAM J. Appl. Math. 32 (1977), 717-730. Zbl0355.10012
  7. [7] N. A. Volodin, Number of multinomial coefficients not divisible by a prime, Fibonacci Quart. 32 (1994), 402-406. Zbl0816.11011

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