Factors of sums of powers of binomial coefficients

Neil J. Calkin

Acta Arithmetica (1998)

  • Volume: 86, Issue: 1, page 17-26
  • ISSN: 0065-1036

How to cite

top

Neil J. Calkin. "Factors of sums of powers of binomial coefficients." Acta Arithmetica 86.1 (1998): 17-26. <http://eudml.org/doc/207177>.

@article{NeilJ1998,
author = {Neil J. Calkin},
journal = {Acta Arithmetica},
keywords = {binomial coefficients},
language = {eng},
number = {1},
pages = {17-26},
title = {Factors of sums of powers of binomial coefficients},
url = {http://eudml.org/doc/207177},
volume = {86},
year = {1998},
}

TY - JOUR
AU - Neil J. Calkin
TI - Factors of sums of powers of binomial coefficients
JO - Acta Arithmetica
PY - 1998
VL - 86
IS - 1
SP - 17
EP - 26
LA - eng
KW - binomial coefficients
UR - http://eudml.org/doc/207177
ER -

References

top
  1. [1] N. G. de Bruijn, Asymptotic Methods in Analysis, Dover, New York, 1981. Zbl0556.41021
  2. [2] N. J. Calkin, A curious binomial identity, Discrete Math. 131 (1994), 335-337. Zbl0799.05005
  3. [3] M.-D. Choi, G. A. Elliott and N. Yui, Gauss polynomials and the rotation algebra, Invent. Math. 99 (1990), 225-246. Zbl0665.46051
  4. [4] J. Désarménien, Un analogue des congruences de Kummer pour les q-nombres d'Euler, European J. Combin. 3 (1982), 19-28. Zbl0485.05006
  5. [5] A. J. Granville, Zaphod Beeblebrox's brain and the fifty-ninth row of Pascal's triangle, Amer. Math. Monthly 99 (1992), 318-331. Zbl0757.05003
  6. [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. [7] G. Olive, Generalized powers, Amer. Math. Monthly 72 (1965), 619-627. Zbl0215.07003
  8. [8] M. Petkovšek, H. S. Wilf and D. Zeilberger, A = B, A. K. Peters, Wellesley, Mass., 1996. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.