Factors of sums of powers of binomial coefficients

• Autorzy: Neil J. Calkin
• Języki publikacji: EN

Kategorie tematyczne

• 05A30: q -calculus and related topics
• 11B65: Binomial coefficients; factorials; q -identities
• 05A10: Factorials, binomial coefficients, combinatorial functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 86
• Numer: 1
• Strony: 17-26

Daty

wydano

1998

otrzymano

1997-06-13

poprawiono

1997-09-19

Twórcy

autor

Neil J. Calkin

• Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29634-1907, U.S.A.

Bibliografia

• [1] N. G. de Bruijn, Asymptotic Methods in Analysis, Dover, New York, 1981.
• [2] N. J. Calkin, A curious binomial identity, Discrete Math. 131 (1994), 335-337.
• [3] M.-D. Choi, G. A. Elliott and N. Yui, Gauss polynomials and the rotation algebra, Invent. Math. 99 (1990), 225-246.
• [4] J. Désarménien, Un analogue des congruences de Kummer pour les q-nombres d'Euler, European J. Combin. 3 (1982), 19-28.
• [5] A. J. Granville, Zaphod Beeblebrox's brain and the fifty-ninth row of Pascal's triangle, Amer. Math. Monthly 99 (1992), 318-331.
• [6] A. J. Granville, The arithmetic properties of binomial coefficients, in: Proceedings of the Organic Mathematics Workshop, 1996, http://www.cecm.sfu.ca/organics/papers/granville/index.html (URL verified September 10, 1997).
• [7] G. Olive, Generalized powers, Amer. Math. Monthly 72 (1965), 619-627.
• [8] M. Petkovšek, H. S. Wilf and D. Zeilberger, A = B, A. K. Peters, Wellesley, Mass., 1996.