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Titlebook: Elementary Methods in Number Theory; Melvyn B. Nathanson Textbook 2000 Melvyn B. Nathanson 2000 Prime.Prime number.Waring‘s problem.calcul

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發(fā)表于 2025-3-21 16:54:13 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Elementary Methods in Number Theory
編輯Melvyn B. Nathanson
視頻videohttp://file.papertrans.cn/308/307396/307396.mp4
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Elementary Methods in Number Theory;  Melvyn B. Nathanson Textbook 2000 Melvyn B. Nathanson 2000 Prime.Prime number.Waring‘s problem.calcul
描述Elementary Methods in Number Theory begins with "a first course in number theory" for students with no previous knowledge of the subject. The main topics are divisibility, prime numbers, and congruences. There is also an introduction to Fourier analysis on finite abelian groups, and a discussion on the abc conjecture and its consequences in elementary number theory. In the second and third parts of the book, deep results in number theory are proved using only elementary methods. Part II is about multiplicative number theory, and includes two of the most famous results in mathematics: the Erd?s-Selberg elementary proof of the prime number theorem, and Dirichlets theorem on primes in arithmetic progressions. Part III is an introduction to three classical topics in additive number theory: Warings problems for polynomials, Liouvilles method to determine the number of representations of an integer as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi
出版日期Textbook 2000
關(guān)鍵詞Prime; Prime number; Waring‘s problem; calculus; number theory
版次1
doihttps://doi.org/10.1007/b98870
isbn_softcover978-1-4757-7392-7
isbn_ebook978-0-387-22738-2Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightMelvyn B. Nathanson 2000
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0072-5285 t the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi978-1-4757-7392-7978-0-387-22738-2Series ISSN 0072-5285 Series E-ISSN 2197-5612
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Elementary Methods in Number Theory978-0-387-22738-2Series ISSN 0072-5285 Series E-ISSN 2197-5612
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Textbook 2000ics are divisibility, prime numbers, and congruences. There is also an introduction to Fourier analysis on finite abelian groups, and a discussion on the abc conjecture and its consequences in elementary number theory. In the second and third parts of the book, deep results in number theory are prov
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Research on the Effects of the Fixed Asset Investment on the Nonperforming Loans Rationificant effect on the downward trend in the nonperforming loans ratio. But that does not mean that extending investment scale will necessarily reduce the banks’ nonperforming loans. In order to make sure the conclusions are more reliable and rigorous, further mechanism analysis is necessary.
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