Keywords and phrases: division with a remainder, alternative divisibility, quadratic form of number representation.
Received: March 26, 2021; Accepted: April 26, 2021; Published: July 3, 2021
How to cite this article: V. A. Danilov, A. V. Daneev and V. A. Rusanov, A new look at some facts of number theory: alternate divisibility when constructing simple solutions to problems of arithmetic, JP Journal of Algebra, Number Theory and Applications 51(2) (2021), 125-143. DOI: 10.17654/NT051020125
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] A. I. Kostrikin, Introduction to Algebra, Nauka, Moscow, 1977. [2] G. Davenport, Higher arithmetic, Introduction to Number Theory, Nauka, Moscow, 1965. [3] R. Kurant and G. Robbins, What is mathematics? MTsNMO, Moscow, 2001. [4] K. Ayerland and M. Rosen, Classical Introduction to Modern Number Theory, Mir, Moscow, 1987. [5] I. M. Vinogradov, Fundamentals of Number Theory, Nauka, Moscow, 1981. [6] P. G. Dirichlet, Lectures on number theory, United Scientific and Technological Society, ed., Moscow, 1936. [7] M. M. Postnikov, Introduction to the Theory of Algebraic Numbers, Nauka, Moscow, 1982. [8] G. Edwards, Fermat’s last theorem, A Genetic Introduction to Algebraic Number Theory, Mir, Moscow, 1980. [9] V. A. Danilov, On elementary proofs of Fermat’s Last Theorem for certain degrees: I. The case of cubes, Working Paper No. 5, IDSTU SB RAS, Irkutsk, 2002. [10] A. V. Daneev, V. N. Sizykh and M. V. Rusanov, Conceptual schemes of dynamics and computer modeling of spatial motion of large structures, Modern Technologies, System Analysis, Modeling 4 (2016), 17-25.
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