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Titlebook: Introduction to Diophantine Approximations; New Expanded Edition Serge Lang Book 1995Latest edition Springer-Verlag New York, Inc. 1995 Cou

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發(fā)表于 2025-3-21 19:49:49 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Introduction to Diophantine Approximations
副標(biāo)題New Expanded Edition
編輯Serge Lang
視頻videohttp://file.papertrans.cn/474/473625/473625.mp4
圖書封面Titlebook: Introduction to Diophantine Approximations; New Expanded Edition Serge Lang Book 1995Latest edition Springer-Verlag New York, Inc. 1995 Cou
描述The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere..Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics.
出版日期Book 1995Latest edition
關(guān)鍵詞Counting; Diophantine approximation; algebra; approximation; boundary element method; continued fraction;
版次2
doihttps://doi.org/10.1007/978-1-4612-4220-8
isbn_softcover978-1-4612-8700-1
isbn_ebook978-1-4612-4220-8
copyrightSpringer-Verlag New York, Inc. 1995
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Estimates of Averaging Sums,ne expects the values . to be somewhat evenly distributed around 1/2, it is then better to investigate immediately the sum . which gives the average discrepancy between 1/2N and the sum of the remainders. We shall estimate this discrepancy in terms of a type for α.
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Estimates of Averaging Sums,ne expects the values . to be somewhat evenly distributed around 1/2, it is then better to investigate immediately the sum . which gives the average discrepancy between 1/2N and the sum of the remainders. We shall estimate this discrepancy in terms of a type for α.
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The Exponential Function,It is a general problem to determine the continued fractions for values of classical functions suitably normalized. We shall describe a solution of this problem in a very special case which will allow us in particular to get the continued fraction for ..
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