Modular Inverse and Reciprocity Formula
Number Theory
2013-09-03 v1
Abstract
This paper proves a reciprocity formula for modular inverses for non-zero integers and demonstrates some applications of the reciprocity formula in calculating or verifying some modular inverses of specific forms, including the modular inverse of a Gaussian integer modulo another Gaussian integer.
Keywords
Cite
@article{arxiv.1304.6778,
title = {Modular Inverse and Reciprocity Formula},
author = {W. H. Ko},
journal= {arXiv preprint arXiv:1304.6778},
year = {2013}
}