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

Authors

  • 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.

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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

License

The author(s) will retain the copyright, but by submitting the article agree to grant permission to the PUMP Journal of Undergraduate Research to publish, distribute, and archive the article. The author(s) will acknowledge prior publication in the PUMP Journal of Undergraduate Research for all future uses of the article or parts of it.