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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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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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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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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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Computer Algebra in the Service of Mathematical Physics and Number Theory
Computers in Mathematics, 2020D. Chudnovsky, G. Chudnovsky
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A course in computational algebraic number theory
Graduate texts in mathematics, 1993H. Cohen
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Construction of a Mathematical Theory: Laws of Order for Numbers
1994Abstract With a certain amount of knowledge of the fields of logic and methodology at our disposal, we shall now undertake to lay the foundations of a particular mathematical theory which, incidentally, is very simple. This will give us an excellent opportunity to assimilate better our previously acquired knowledge, and even to expand it
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