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Titlebook: Number Theory; New York Seminar 200 David Chudnovsky,Gregory Chudnovsky,Melvyn Nathans Book 2004 Springer-Verlag New York, Inc. 2004 Rieman

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发表于 2025-3-21 18:32:05 | 显示全部楼层 |阅读模式
书目名称Number Theory
副标题New York Seminar 200
编辑David Chudnovsky,Gregory Chudnovsky,Melvyn Nathans
视频video
概述Contains new research in the field of number theory.None of these papers have been previously published
图书封面Titlebook: Number Theory; New York Seminar 200 David Chudnovsky,Gregory Chudnovsky,Melvyn Nathans Book 2004 Springer-Verlag New York, Inc. 2004 Rieman
描述This volume marks the 20th anniversary of the New York Number Theory Sem­ inar (NYNTS). The seminar began to meet in the Spring, 1982 semester at the CUNY Graduate Center in midtown Manhattan, and has been meeting contin­ uously at the Graduate Center for two decades, even as the Graduate Center moved from its original location on 42nd Street near Fifth Avenue to tempo­ rary quarters in an office building next to Grand Central Station to a new and elegant building in the former B. Altman department store on Fifth Avenue betwen 34th and 35th Streets. The seminar was originally organized by Harvey Cohn, David and Gregory Chudnovsky, and Melvyn B. Nathanson. In 1982, Harvey Cohn was at City College (CUNY) and the Graduate Center, the Chudnovskys were at Columbia, and Mel Nathanson was at Rutgers. Today, Harvey has retired to California, the Chudnovskys are at Polytechic University of New York, and Nathanson is at Lehman College (CUNY) and the Graduate Center.
出版日期Book 2004
关键词Riemann zeta function; elliptic curve; number theory; prime number; zeta function
版次1
doihttps://doi.org/10.1007/978-1-4419-9060-0
isbn_softcover978-1-4612-6490-3
isbn_ebook978-1-4419-9060-0
copyrightSpringer-Verlag New York, Inc. 2004
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发表于 2025-3-21 21:19:46 | 显示全部楼层
The boundary structure of the sumset in ,,,s such that the elements of . in each parallelogram can be translated by a constant vector to obtain elements of . in the next parallelogram. By counting the number of parallelograms and the cardinality of . in each parallelogram, it can be found that the cardinality of . in the boundary region is a linear function of ..
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The spanning number and the independence number of a subset of an abelian group,und for the size of a .-independent set and a lower bound for the size of an .-spanning set in ., and determine some cases when this extremal size occurs. We also discuss an interesting connection to spherical combinatorics.
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A Hyperelliptic Curve with Real Multiplication of Degree Two, derived very simply by use of computer algebra on the abelian integrals, leading directly to a sufficient proof of Humbert’s equation from his remarkable conic configuration. A set of suitable hyperelliptic coefficient parameters is also introduced. The relation to Hilbert modular functions is outlined in an appendix.
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On the ubiquity of Sidon sets, of two elements of .. It is proved that almost all small subsets of {1, 2,…, .} are ..[.]-sets, in the sense that if .. [.](.) denotes the number of ..[.]-sets of cardinality . contained in the interval {1,2,…, .}, then..
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Continued Fractions and Quadratic Irrationals,nits in such fields can in fact be derived via continued fractions. Also, the periods of the continued fractions associated with quadratic irrationals exhibit a certain pattern or structure when classified by discriminant, which has not been previously noted.
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Book 2004CUNY Graduate Center in midtown Manhattan, and has been meeting contin­ uously at the Graduate Center for two decades, even as the Graduate Center moved from its original location on 42nd Street near Fifth Avenue to tempo­ rary quarters in an office building next to Grand Central Station to a new an
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