Academic literature on the topic 'Number theory'

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Journal articles on the topic "Number theory"

1

C.S., Harisha. "Graph Theory Approach to Number Theory Theorems." Journal of Advanced Research in Dynamical and Control Systems 12, no. 01-Special Issue (2020): 568–72. http://dx.doi.org/10.5373/jardcs/v12sp1/20201105.

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2

Lefevre, Adam. "Number Theory." Grand Street, no. 59 (1997): 99. http://dx.doi.org/10.2307/25008125.

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3

Scourfield, E. J. "NUMBER THEORY." Bulletin of the London Mathematical Society 17, no. 1 (1985): 93–94. http://dx.doi.org/10.1112/blms/17.1.93.

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4

Schroeder, M. R. "Number theory." IEEE Potentials 8, no. 3 (1989): 14–17. http://dx.doi.org/10.1109/45.41531.

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5

Balasubramanian, K. "Number Theory." Journal of Mathematical Chemistry 36, no. 2 (2004): 167. http://dx.doi.org/10.1023/b:jomc.0000038791.72217.20.

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6

Wang, Mingshen. "Group Theory in Number Theory." Theoretical and Natural Science 5, no. 1 (2023): 9–13. http://dx.doi.org/10.54254/2753-8818/5/20230254.

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The theory of groups exists in many fields of mathematics and has made a great impact on many fields of mathematics. In this article, this paper first introduces the history of group theory and elementary number theory, and then lists the definitions of group, ring, field and the most basic prime and integer and divisor in number theory that need to be used in this article. Then from the definitions, step by step, Euler's theorem, Bzout's lemma, Wilson's theorem and Fermat's Little theorem in elementary number theory are proved by means of definitions of group theory, cyclic groups, and even polynomials over domains. Finally, some concluding remarks are made. Many number theory theorems can be proved directly by the method of group theory without the action of tricks in number theory. Number theory is the thinking of certain special groups (e.g., (Z,+),(Z,)), so the methods of group theory work well inside number theory.
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7

Grosswald, Emil, Charles Vanden Eynden, and Kenneth H. Rosen. "Elementary Number Theory." American Mathematical Monthly 96, no. 5 (1989): 460. http://dx.doi.org/10.2307/2325169.

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8

Blackmore, G. W., I. N. Stewart, and D. O. Tall. "Algebraic Number Theory." Mathematical Gazette 73, no. 463 (1989): 65. http://dx.doi.org/10.2307/3618234.

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9

Bowen, Alan C. "Boethian Number Theory." Ancient Philosophy 9, no. 1 (1989): 137–43. http://dx.doi.org/10.5840/ancientphil19899136.

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10

Shiu, P., Gareth A. Jones, and J. Mary Jones. "Elementary Number Theory." Mathematical Gazette 82, no. 495 (1998): 534. http://dx.doi.org/10.2307/3619931.

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