Skip to main content
Article thumbnail
Location of Repository

Congruences for a Class of Alternating Lacunary Sums of Binomial Coefficients

By Karl Dilcher

Abstract

An 1876 theorem of Hermite, later extended by Bachmann, gives congruences modulo primes for lacunary sums over the rows of Pascal’s triangle. This paper gives an analogous result for alternating sums over a certain class of rows. The proof makes use of properties of certain linear recurrences.

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.188.9412
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.math.uwaterloo.ca/J... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.