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Titlebook: Number Theory; New York Seminar 199 David V. Chudnovsky,Gregory V. Chudnovsky,Melvyn B Book 1996 Springer-Verlag New York, Inc. 1996 Diopha

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書目名稱Number Theory
副標(biāo)題New York Seminar 199
編輯David V. Chudnovsky,Gregory V. Chudnovsky,Melvyn B
視頻videohttp://file.papertrans.cn/669/668893/668893.mp4
圖書封面Titlebook: Number Theory; New York Seminar 199 David V. Chudnovsky,Gregory V. Chudnovsky,Melvyn B Book 1996 Springer-Verlag New York, Inc. 1996 Diopha
描述This volume is dedicated to Harvey Cohn, Distinguished Professor Emeritus of Mathematics at City College (CUNY). Harvey was one of the organizers of the New York Number Theory Seminar, and was deeply involved in all aspects of the Seminar from its first meeting in January, 1982, until his retirement in December, 1995. We wish him good health and continued hapiness and success in mathematics. The papers in this volume are revised and expanded versions of lectures delivered in the New York Number Theory Seminar. The Seminar meets weekly at the Graduate School and University Center of the City University of New York (CUNY). In addition, some of the papers in this book were presented at a conference on Combinatorial Number Theory that the New York Number Theory Seminar organized at Lehman College (CUNY). Here is a short description of the papers in this volume. The paper of R. T. Bumby focuses on "elementary" fast algorithms in sums of two and four squares. The actual talk had been accompanied by dazzling computer demonstrations. The detailed review of H. Cohn describes the construction of modular equations as the basis of studies of modular forms in the one-dimensional and Hilbert cas
出版日期Book 1996
關(guān)鍵詞Diophantine approximation; calculus; number theory
版次1
doihttps://doi.org/10.1007/978-1-4612-2418-1
isbn_softcover978-0-387-94826-3
isbn_ebook978-1-4612-2418-1
copyrightSpringer-Verlag New York, Inc. 1996
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Approximation Methods in Transcendental Function Computations and Some Physical Applications,uations involving hypergeometric functions are examined. Fast algorithms of computations of (approximate) solutions are presented that are well suited for parallelization. Among problems considered are: WKB and adelic asymptotics of multidimensional hypergeometric Padé approximations to classical fu
地板
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Diophantine Approximation Problem Arising from VLSI Design, are important for computer applications. These problems arise from the need to digitalize real-world data. In many such discretization problems diophantine approximation issues arise, especially when continuous data are described by quasiperiodic processes.
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On the Sum of the Reciprocals of the Differences Between Consecutive Primes, consecutive primes is on average logn. This suggests the question: For what values of c does the series .converge? We shall prove convergence for c > 2, and give a heuristic argument why the series must diverge for c = 2.
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The Smallest Maximal Set of Pairwise Disjoint Partitions,s of n, sayn = a. + a. + a. for i = l,2,…,m,satisfyingthe km integers of the set A = (a.: i = 1,…,m, j = 1,k) are distinct,if a.,a.. are any k distinct positive integers not in A, then a. + a.-≠ n, and m =.(n) is minimal.
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On Solvability of a System of Two Boolean Linear Equations, right-hand sides for which the system has solutions. A new approach is applicable to systems whose coefficients are bounded relative to the number of unknowns and whose right-hand sides are in the certain wide neighborhood of the middle point of the sum of coefficients (unlike the dynamic programmi
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Minimal Bases and ,-Adic Representations of Integers, . is called an . of order .. An asymptotic basis . of order . is said to be . if it contains no proper subset which is again an asymptotic basis of order .. This concept of minimality of bases was first introduced by St?hr [5]. H?rtter [1] showed the existence of minimal asymptotic bases by a nonco
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