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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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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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Number Theory as a Core Mathematical Discipline
1995In recent years there has been much discussion of the role of calculus in mathematics education. Calculus is the de facto qualification for entry to higher mathematics at most institutions, but is it still the best? Compare its role with that of Euclidian geometry, which was the entry qualification until last century.
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Microcomputer-Assisted Mathematics: Exploring Number Theory with a Microcomputer
The Mathematics Teacher, 1986It is clear that the computer can take much of the drudgery out of many mathematical analyses. Problems involving large sets of data requiring sorting, ordering, and laborious calculations readily come to mind. The computer is designed to handle such problems quickly and accurately.
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Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis
2000On a problem of injectivity for the Radon transform on a paraboloid by M. Agranovsky Anti-self-dual symplectic forms and integral geometry by J. C. Alvarez Holomorphic extendibility of functions via nonlinear Fourier transforms by T. T. Banh Division-interpolation methods and Nullstellensatze by C. A. Berenstein and A.
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