An Elementary Proof of Weisman's Congruence When p=2

  • Nick Neuberger Northern Arizona University
  • Bahattin Yildiz Northern Arizona University
DOI: https://doi.org/10.46787/pump.v3i0.2258
Keywords: Fleck's congruence; mathematical induction; polynomial congruence; divisibility; jumps

Abstract

We give an elementary approach to proving divisibility results for a class of binomial sums that are similar to Fleck's congruence. We use tools that are accessible to undergraduate students and in proving the divisibility results, we obtain additional interesting properties that we highlight in several parts of the paper.

Author Biography

Bahattin Yildiz, Northern Arizona University

Assisstant Professor at NAU, in the department of mathematics and statistics.

Published
2020-07-10
How to Cite
Neuberger, N., & Yildiz, B. (2020). An Elementary Proof of Weisman’s Congruence When p=2. The PUMP Journal of Undergraduate Research, 3, 146-157. https://doi.org/10.46787/pump.v3i0.2258
Issue
Vol. 3 (2020): PUMP Journal of Undergraduate Research
Section
Articles

Copyright (c) 2020 Nick Neuberger, Bahattin Yildiz

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