An Elementary Method in Number Theory

Nguyen Thanh Quang^1, and Phan Duc Tuan²

¹School of Natural Science Education, Vinh University, Vinh City, Vietnam

²Department of Applied Mathematics, Saigon University, Ho Chi Minh City, Vietnam

Cite this paper:
Nguyen Thanh Quang and Phan Duc Tuan. An Elementary Method in Number Theory. American Journal of Educational Research. 2019; 7(12):989-993. doi: 10.12691/education-7-12-14

Abstract

In order to apply the role of the analogues between integers and polynomials, in this paper we introduce a unified diagram to the Fermat's theorem, Mason's theorem, Davenport's theorem and some arithmetic conjectures. Further, we show some applications of this diagram in teaching and researching on arithmetic. By using this elementary method in number theory, we obtained some results for polynomials and holomorphic functions in case complex and p-adic.

Keywords:
integer polynomial analogue mason's theorem abc conjecture

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References:

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