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Titlebook: Number Theory and Analysis; A Collection of Pape Paul Turán Book 1969 Springer Science+Business Media New York 1969 calculus.number theory.

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发表于 2025-3-21 19:26:20 | 显示全部楼层 |阅读模式
书目名称Number Theory and Analysis
副标题A Collection of Pape
编辑Paul Turán
视频video
图书封面Titlebook: Number Theory and Analysis; A Collection of Pape Paul Turán Book 1969 Springer Science+Business Media New York 1969 calculus.number theory.
描述February 14, 1968 marked the thirtieth year since the death of Edmund Landau. The papers of this volume are dedicated by friends, students, and admirers to the memory of this outstanding scholar and teacher. To mention but one side of his original and varied scientific work, the results and effects of which cannot be dis­ cussed here, Edmund Landau performed one of his greatest services in developing the analytic theory of prime numbers from a subject accessible only with great difficulty even to the initiated few to the general estate of mathematicians. With the exception of the work of Chebyshev, Riemann, and Mertens, before Landau the problems of this theory were attempted only in a number of papers which were filled with gaps and errors. These problems were such that even Gauss abandoned them after several attempts in his youth, and they were described by N. H. Abel in a letter of 1823 and by O. Toeplitz in a lecture in 1930 as the deepest part of mathe­ matics. Clarification first began with the papers of Hadamard, de la Vallee Poussin, and von Mangoldt. At the end ofthe foreword to his work" Handbuch der Lehre von der Verteilung der Primzahlen" which appeared in 1909, Landau
出版日期Book 1969
关键词calculus; number theory; prime number
版次1
doihttps://doi.org/10.1007/978-1-4615-4819-5
isbn_softcover978-1-4613-7184-7
isbn_ebook978-1-4615-4819-5
copyrightSpringer Science+Business Media New York 1969
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https://doi.org/10.1007/978-1-4615-4819-5calculus; number theory; prime number
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发表于 2025-3-22 11:25:19 | 显示全部楼层
,Über Binäre Additive Probleme Gemischter Art,Von großem Interesse für die moderne analytische Zahlentheorie ist die Untersuchungvon binären Gleichungen folgender Art: . wobei .. eine Folge von Zahlen mit gewissen arithmetischen Eigenschaften und ϕ(ξ, η) eine gegebene positiv-definite binäre quadratische Form ist.
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,Über Folgen Ganzer Zahlen,Eine Folge ganzer Zahlen .. < ⋯ heiße primitiv, wenn .. ✗.. für alle .. < .. gilt.Behrend und Erdös [1] zeigten vor mehr als dreißig Jahren, daß für primitive Zahlenfolgen(.., … sind positive absolute Konstanten, die wenn sie in verschiedenenStellen vorkommen, nicht unbedingt denselben Wert haben) . und . gilt.
发表于 2025-3-22 21:12:30 | 显示全部楼层
On the Average Length of a Class of Finite Continued Fractions,Many years ago Dr. J. Gillis asked me the following question: Let . and . be coprime natural integers, 1 ≦ . < ., so that ./. can be represented by a finite continued fraction . where the .. are natural integers depending on . and ., and where .. > 1 (to make the representation unique).
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