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Titlebook: Number Theoretic Methods; Future Trends Shigeru Kanemitsu,Chaohua Jia Book 2002 Springer Science+Business Media Dordrecht 2002 Algebra.Arit

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书目名称Number Theoretic Methods
副标题Future Trends
编辑Shigeru Kanemitsu,Chaohua Jia
视频video
丛书名称Developments in Mathematics
图书封面Titlebook: Number Theoretic Methods; Future Trends Shigeru Kanemitsu,Chaohua Jia Book 2002 Springer Science+Business Media Dordrecht 2002 Algebra.Arit
描述This volume contains the proceedings of the very successful second China-Japan Seminar held in lizuka, Fukuoka, Japan, during March 12-16, 2001 under the support of the Japan Society for the Promotion of Science (JSPS) and the National Science Foundation of China (NSFC), and some invited papers of eminent number-theorists who visited Japan during 1999-2001 at the occasion of the Conference at the Research Institute of Mathematical Sciences (RIMS), Kyoto University. The proceedings of the 1st China-Japan Seminar held in September 1999 in Beijing has been published recently {2002) by Kluwer as DEVM 6 which also contains some invited papers. The topics of that volume are, however, restricted to analytic number theory and many papers in this field are assembled. In this volume, we return to the lines of the previous one "Number Theory and its Applications", published as DEVM 2 by Kluwer in 1999 and uphold the spirit of presenting various topics in number theory and related areas with possible applica­ tions, in a unified manner, and this time in nearly a book form with a well-prepared index. We accomplish this task by collecting highly informative and readable survey papers (including
出版日期Book 2002
关键词Algebra; Arithmetic; Finite; Identity; Prime; equation; function; mathematics; number theory; theorem
版次1
doihttps://doi.org/10.1007/978-1-4757-3675-5
isbn_softcover978-1-4419-5239-4
isbn_ebook978-1-4757-3675-5Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightSpringer Science+Business Media Dordrecht 2002
The information of publication is updating

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,Ramanujan’s Formula and Modular Forms,ional equations, incomplete gamma series, and the like — are placed like nodes on the woofs. Some of them are woven by warps as Hecke theory or Lavrik’s theory. The former connects the modular relation to the functional equation, thus making it possible to go to and from between the more orderly wor
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Primitive Roots: A Survey,rvey a few results and conjectures on this subject, and we discuss generalizations to arbitrary moduli. A primitive root to a modulus . is a residue coprime to . which generates a cyclic subgroup of maximal order in the group of reduced residues modulo n. .
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Zeta-Functions Defined by Two Polynomials,ed by two polynomials . and ., follows. Then the holomorphy of .(.; ., .) at non-positive integers is proved, and explicit formulas for the values .(0; ., .) and .(0; ., .) are given. The latter formula gives a generalization of an explicit formula for the regularized determinant of the Laplacian on
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A Penultimate Step toward Cubic Theta-Weyl Sums,his paper we shall present basic ingredients for interpreting cubic Weyl sums as finite theta series, i.e. the cubic continued fraction expansion, the van der Corput reciprocal function, cubic reciprocal and parabolic transformations.
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Convexity and Intersection of Random Spaces,nd when . → ∞is solved rigorously. The asymptotic expression coincides with the one found by E. Gardner ([4]), using non rigorous replica calculations in neural network theory. When . is larger than .. the volume of the intersection goes to 0 more rapidly than exp(— . const). We use the cavity metho
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