Published April 30, 2026
| Version CC-BY-NC-ND 4.0
Journal article
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Analyzing the Chinese Remainder Theorem to Find Solutions Efficiently
Authors/Creators
- 1. Associate Professor, Department of Mathematics, Modern Education Society's, Nowrosjee Wadia College, Pune (Maharashtra), India.
Description
Abstract: In this paper, we explain the logic for simultaneously solving linear congruences using the Chinese Remainder Theorem and apply it to develop an easy method for finding the solution. Mathematics Subject Classification [2020]: Primary 11A41
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Additional details
Identifiers
- DOI
- 10.54105/ijam.A1244.06010426
- EISSN
- 2582-8932
Dates
- Accepted
-
2026-04-15Manuscript received on 23 March 2026 | First Revised Manuscript received on 30 March 2026 | Second Revised Manuscript received on 07 April 2026 | Manuscript Accepted on 15 April 2026 | Manuscript published on 30 April 2026.
References
- https://sgmathsociety.org/volume-30-2003/, works remain significant, see the declaration
- Sury, B. Multivariable Chinese remainder theorem. Reson 20, 206– 216 (2015). DOI: https://doi.org/10.1007/s12045-015-0171-x, works remain significant, see the declaration
- Childs, L.N. (1995). The Chinese Remainder Theorem. In: A Concrete Introduction to Higher Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. DOI: https://doi.org/10.1007/978-1-4419-8702-0_12, works remain significant, see the declaration