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Mathematical proof that rocked number theory will be published
Nature, 2020But some experts say author Shinichi Mochizuki failed to fix fatal flaw in solution of major arithmetic problem. But some experts say author Shinichi Mochizuki failed to fix fatal flaw in solution of major arithmetic problem.
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Physical mathematics in number theory
Functional Analysis and Other Mathematics, 2010Rephrasing the authors words in the introduction, in many problems of mechanics, quantum physics, physics of wave processes, and other, the corresponding solutions are represented in the form of a series. This is more so since the advent of Quantum Mechanics, in fact, the properties of these series are very important in, e.g., the Dirac theory.
Karatsuba, Anatolii A. +1 more
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Mathematics of the 19th Century: Mathematical Logic, Algebra, Number Theory Probability Theory.
The American Mathematical Monthly, 1994One Mathematical Logic.- The Prehistory of Mathematical Logic.- Leibniz's Symbolic Logic.- The Quantification of a Predicate.- The "Formal Logic" of A. De Morgan.- Boole's Algebra of Logic.- Jevons' Algebra of Logic.- Venn's Symbolic Logic.- Schroeder's and Poretski-'s Logical Algebra.- Conclusion.- Two Algebra and Algebraic Number Theory.- 1 Survey of
Karen Hunger Parshall +2 more
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Number Theory and Infinity Without Mathematics
Journal of Philosophical LogiczbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uri Nodelman, Edward N. Zalta
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Number Theory and Discrete Mathematics
2002This volume contains the proceedings of the International Conference on Number Theory and Discrete Mathematics in honour of Srinivasa Ramanujan, held at the Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India, in October 2000, as a contribution to the International Year of Mathematics.
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Mathematical Fundamentals I: Number Theory
2020There are many cryptosystems that are based on modular arithmetic (also known in some contexts as residue arithmetic); examples of such systems are given in the next chapter. This chapter covers some of the fundamentals of modular arithmetic and will be a brief review or introduction, according to the reader’s background.
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Problems of Number Theory in Mathematical Competitions
2009Divisibility Greatest Common Divisors and Least Common Multiples Prime Numbers and Unique Factorization Theorem Indeterminate Equations (I) Selected Lectures on Competition Problems (I) Congruence Some Famous Theorems in Number Theory Order and Its Application Indeterminate Equations (II) Selected Lectures on Competition Problems (II).
Hong-Bing Yu, Lei Lin
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Application of number theory in mathematical statistics
Mathematical Notes of the Academy of Sciences of the USSR, 1970Elementary number theory (divisibility theory) is used to prove that, in the case of repeated sampling, when the k-th generalized sample moment is independent of the sample mean then the sampling is normal if the volume of the sample is large and k is a square-free integer which, if it is even, is not of the form 2(2s +1)).
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Number theory in mathematics education: Perspectives and prospects
Canadian Journal of Science, Mathematics and Technology Education, 2007Zazkis, R., & Campbell, S.R. (Eds.). (2006). Number Theory in Mathematics Education: Perspectives and Prospects. Mahwah, NJ: Lawrence Erlbaum. ISBN 0–8058–5407‐X (cloth); 0–8058–5408–8 (paper)
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