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Titlebook: Unsolved Problems in Number Theory; Richard K. Guy Textbook 2004Latest edition Springer Science+Business Media New York 2004 Mersenne prim

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发表于 2025-3-21 16:56:44 | 显示全部楼层 |阅读模式
书目名称Unsolved Problems in Number Theory
编辑Richard K. Guy
视频video
概述Includes supplementary material:
丛书名称Problem Books in Mathematics
图书封面Titlebook: Unsolved Problems in Number Theory;  Richard K. Guy Textbook 2004Latest edition Springer Science+Business Media New York 2004 Mersenne prim
描述.Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity..For this new edition, the author has included new problems on symmetric and asymmetric primes, sums of higher powers, Diophantine m-tuples, and Conway‘s RATS and palindromes. The author has also included a useful new feature at the end of several of the sections: lists of references to OEIS, Neil Sloane‘s Online Encyclopedia of Integer Sequences..About the first Edition:."...many talented young mathematicians will write their first papers starting out from problems found in this book." .András Sárközi, MathSciNet.
出版日期Textbook 2004Latest edition
关键词Mersenne prime; Prime; Prime number; Zahlentheorie; number theory
版次3
doihttps://doi.org/10.1007/978-0-387-26677-0
isbn_softcover978-1-4419-1928-1
isbn_ebook978-0-387-26677-0Series ISSN 0941-3502 Series E-ISSN 2197-8506
issn_series 0941-3502
copyrightSpringer Science+Business Media New York 2004
The information of publication is updating

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发表于 2025-3-21 22:02:35 | 显示全部楼层
Divisibility,) = .(.) and ..(.) = .(.). We use .(.) for the sum of the . of ., i.e., the positive divisors of . other than . itself, so that .(.) = .(.) - .. The number of distinct prime factors of . will be denoted by .(.) and the total number, counting repetitions, by Ω(.).
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Textbook 2004Latest editionber of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity..For this new edition, the author has included new problems on s
发表于 2025-3-22 13:32:34 | 显示全部楼层
0941-3502 cs itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity..For this new edition
发表于 2025-3-22 18:46:59 | 显示全部楼层
Additive Number Theory,greater than . is the sum of . primes and Chen Jing-Run has shown that all large enough even numbers are the sum of a prime and the product of at most two primes. Wang & Chen have reduced the number . to .. ≈ 3.23274 × 10. under the assumption of the generalized Riemann hypothesis.
发表于 2025-3-22 22:47:13 | 显示全部楼层
Diophantine Equations,her with a great number of unsolved problems. There are well-developed theories of rational points on algebraic curves, so we mainly confine ourselves to higher dimensions, for which standard methods have not yet been developed.
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