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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2016 Volume 100, Issue 3, Pages 388–398 (Mi mzm8943)
On a Diophantine Equation

V. K. Leont'ev

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences

Abstract: A linear Diophantine equation with additional constraints on the unknowns is considered. Solvability conditions are obtained.

Keywords: Diophantine equation, Hamiltonian cycle, generating function.

UDC: 517

Received: 30.11.2010
Revised: 28.04.2016

DOI: 10.4213/mzm8943


 English version: Mathematical Notes, 2016, 100:3, 403–412

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© Steklov Math. Inst. of RAS, 2025