Permanents of 2 x 2 Matrices Modulo n

Ayush Bohra; Arikatla Satyanarayana Reddy

doi:10.46787/pump.v4i0.2457

Permanents of 2 x 2 Matrices Modulo n

Authors

Ayush Bohra Shiv Nadar University
Arikatla Satyanarayana Reddy Shiv Nadar University

DOI:

https://doi.org/10.46787/pump.v4i0.2457

Keywords:

modular arithmetic; permanents; determinants

Abstract

In this article we compute the number of invertible two by two matrices with integer entries modulo n whose permanents are congruent modulo n to a given integer x.

Author Biographies

Ayush Bohra, Shiv Nadar University

Undergraduate student

Arikatla Satyanarayana Reddy, Shiv Nadar University

Associate Professor, Department of Mathematics

Downloads

Published

2021-03-18

How to Cite

Bohra, A., & Arikatla Satyanarayana Reddy. (2021). Permanents of 2 x 2 Matrices Modulo n. The PUMP Journal of Undergraduate Research, 4, 141–145. https://doi.org/10.46787/pump.v4i0.2457

Download Citation

Issue

Vol. 4 (2021): 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.