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Download PDF - Asymptotic behavior of Pascal's triangle modulo a prime All rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Asymptotic behavior of Pascal's triangle modulo a prime

Authors ¹

Affiliations

Department of Mathematics, SUNY College at Brockport, Brockport, New York 14420, U.S.A.

Keywords

Pascal's triangle

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