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Titlebook: Goldbach’s Problem; Selected Topics Michael Th. Rassias Book 2017 Springer International Publishing AG 2017 Goldbach’s conjecture.Hardy-Li

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發(fā)表于 2025-3-21 16:17:08 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Goldbach’s Problem
副標(biāo)題Selected Topics
編輯Michael Th. Rassias
視頻videohttp://file.papertrans.cn/388/387317/387317.mp4
概述Features a step-by-step presentation of results of Goldbach‘s conjecture.Accessible to those that have mastered classical number theory and fundamental notions of mathematical analysis.Equips readers
圖書(shū)封面Titlebook: Goldbach’s Problem; Selected Topics Michael Th. Rassias Book 2017 Springer International Publishing AG 2017 Goldbach’s conjecture.Hardy-Li
描述.Important results surrounding the proof of Goldbach‘s ternary conjecture are presented in this book. Beginning with an historical perspective along with an overview of essential lemmas and theorems, this monograph moves on to a detailed proof of Vinogradov‘s theorem. The principles of the Hardy-Littlewood circle method are outlined and applied to Goldbach‘s ternary conjecture. New results due to H. Maier and the author on Vinogradov‘s theorem are proved under the assumption of the Riemann hypothesis. The final chapter discusses an approach to Goldbach‘s conjecture through theorems by L. G. Schnirelmann. This book concludes with an Appendix featuring a sketch of H. Helfgott‘s proof of Goldbach‘s ternary conjecture. The Appendix also presents some biographical remarks of mathematicians whose research has played a seminal role on the Goldbach ternary problem. .?The author‘s step-by-step approach makes this book accessible to those that have mastered classical number theory and fundamental notions of mathematical analysis. This book will be particularly useful to graduate students and mathematicians in analytic number theory, approximation theory as well as to researchers working on G
出版日期Book 2017
關(guān)鍵詞Goldbach’s conjecture; Hardy-Littlewood circle method; Prime Number Theorem; Vaughan’s proof; Vinogrado
版次1
doihttps://doi.org/10.1007/978-3-319-57914-6
isbn_softcover978-3-319-57912-2
isbn_ebook978-3-319-57914-6
copyrightSpringer International Publishing AG 2017
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沙發(fā)
發(fā)表于 2025-3-21 21:39:52 | 只看該作者
https://doi.org/10.1007/978-3-319-57914-6Goldbach’s conjecture; Hardy-Littlewood circle method; Prime Number Theorem; Vaughan’s proof; Vinogrado
板凳
發(fā)表于 2025-3-22 01:34:21 | 只看該作者
地板
發(fā)表于 2025-3-22 08:32:07 | 只看該作者
5#
發(fā)表于 2025-3-22 09:19:57 | 只看該作者
https://doi.org/10.1007/978-3-031-32935-7In the first section, we begin with some lemmas and theorems which will be useful in presenting a step-by-step proof of Vinogradov’s theorem, which states that there exists a natural number ., such that every odd positive integer ., with ., can be represented as the sum of three prime numbers. The experienced reader may wish to skip this section.
6#
發(fā)表于 2025-3-22 13:58:26 | 只看該作者
,Link design — electronic considerations,In this chapter, we present the result of H. Maier and M. Th. Rassias [37] that under the assumption of the Generalized Riemann Hypothesis each sufficiently large odd integer can be expressed as the sum of a prime and two isolated primes.
7#
發(fā)表于 2025-3-22 19:33:50 | 只看該作者
Ray A. Waller,Vincent T. CovelloIn this chapter we provide an outline of the proof of Schnirelmann’s theorem which states that there exists a positive integer ., such that every integer greater than 1 can be represented as the sum of at most . prime numbers.
8#
發(fā)表于 2025-3-22 23:07:35 | 只看該作者
Introduction,In 1742 C. Goldbach, in two letters sent to L. Euler, formulated two conjectures. The first conjecture stated that every even integer can be represented as the sum of two prime numbers, and the second one, that every integer greater than 2 can be represented as the sum of three prime numbers.
9#
發(fā)表于 2025-3-23 04:21:11 | 只看該作者
,Step-by-Step Proof of Vinogradov’s Theorem,In the first section, we begin with some lemmas and theorems which will be useful in presenting a step-by-step proof of Vinogradov’s theorem, which states that there exists a natural number ., such that every odd positive integer ., with ., can be represented as the sum of three prime numbers. The experienced reader may wish to skip this section.
10#
發(fā)表于 2025-3-23 08:16:26 | 只看該作者
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