Mouanda, Joachim Moussounda (2024) On Construction Structures of Matrix Solutions of Exponential Diophantine Equations. Journal of Advances in Mathematics and Computer Science, 39 (5). pp. 1-14. ISSN 2456-9968
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Abstract
We show that the matrix exponential Diophantine equation (Xn - Iqxn)(Yn - Iqxn) = Z2; admits at least 4 x n2 different construction structures of matrix solutions. We also prove that the matrix exponential Diophantine equation (Xn - Inxm)(Ym - Inxm) = Z2; admits at least 4 x n x m different construction structures of matrix solutions in Mnxm(
) for every pair (n,m) of positive integers such that n
m. We show the connection between the construction structures of matrix solutions of an exponential Diophantine equation and Integer factorization. We show that the matrix Diophantine equation Xn +Ym = Zq , n, m, q ; admits at least 8 x n x m x q different construction structures of matrix solutions in Mnxmxq(
).
Item Type: | Article |
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Subjects: | Eprints STM archive > Mathematical Science |
Depositing User: | Unnamed user with email admin@eprints.stmarchive |
Date Deposited: | 04 Apr 2024 05:16 |
Last Modified: | 04 Apr 2024 05:16 |
URI: | http://public.paper4promo.com/id/eprint/1916 |