A STUDY ON THE CONCEPT, THEORY, DEVELOPMENT PROCESS AND APPLICATIONS OF NUMBER THEORY
Keywords:
Number theory, conceptAbstract
This paper basically analyzed the growth and application of several theories trying to review the history of this discipline, and discover its impact on the creation and our life and its basic application. Several hypothesis is belonged to its originally to the analysis of the integers. With the number of contributors made by several mathematicians in various ages to modifying the analysis of the integers, the basic system if the number hypothesis has been slowly enhanced and thereby an entire and unified discipline has been produced. As a fundamental discipline, several hypotheses imparts profound makes an impact on the various disciplines and also the basic fundamental foundation of several disciplines.
References
Boris Y. Rubinstein and Leonid G. Fel, Restricted partition functions as Bernoulli and Eulerian polynomials of higher order, Ramanujan Journal, 2006, 11, 331–347.
Victor Barsan, A two-parameter generalization of the complete elliptic integral of second kind, Ramanujan Journal, 2009, 20, 153–162.
KrishnaswamiAlladi and Alexander Berkovich, New polynomial analogues of Jacobi’s triple product and Lebesgue’s identities, Advances in Applied Mathematics, 32, 2004, 801–824.
Robert J. McEliece and Howard Rumsey, Jr., Euler Products, Cyclotomy and coding, Journal of Number Theory, 1972, 4, 302-311.
Roger V. Jean, Number-theoretic properties of two-dimensional lattices, Journal of Number Theory, 1988, 29, 206-223.
Armen Bagdasaryan, SerkanAraci, Mehmet Açikgöz and Srivastava H. M., Journal of Number Theory, 2015, 147, 92-102.
Vaidyanathan P. P., Ramanujan sums in the context of signal processing—part I: fundamentals, IEEE Transactions on Signal Processing, 2014, 62, 16, 4145-4157.
Vaidyanathan P. P., Ramanujan sums in the context of signal processing—part II: FIR representations and applications, IEEE Transactions on Signal Processing, 2014, 62, 16, 4158-4172.
Yan Songyuan Number Theory and its Applications--Dedicated to Prof. Shiing-Shen Chern
for his 90th Birthday [J]. Mathematics in Practice and Theory: 2002.03
Wang Shuhong the Early History of Algebraic Number Theory [J]. Journal of Northwest
University (Natural Science Edition) 2010.6: P1120-P1123
Xu Chong, Research and Implementation of Hierarchical Phrase-based translation Model in Statistical Machine Translation[D] Harbin Institute of Technology 2010