By M. Pohst,H. Zassenhaus
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This quantity includes the court cases of the very profitable moment China-Japan Seminar held in lizuka, Fukuoka, Japan, in the course of March 12-16, 2001 lower than the aid of the Japan Society for the merchandising of technological know-how (JSPS) and the nationwide technology origin of China (NSFC), and a few invited papers of eminent number-theorists who visited Japan in the course of 1999-2001 on the get together of the convention on the study Institute of Mathematical Sciences (RIMS), Kyoto collage.
Modular kinds are greatly vital in a variety of components of arithmetic, from quantity thought and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a standard instance, have deep mathematics importance. sooner than this ebook, the quickest recognized algorithms for computing those Fourier coefficients took exponential time, other than in a few unique instances.
The invited papers amassed during this quantity handle subject matters concerning the learn of Raman Parimala (plenary speaker on the upcoming ICM 2010). those subject matters concentration totally on the interaction among algebra, quantity concept, and algebraic geometry. The integrated contributions hide fascinating learn in parts akin to box patching and an evidence of the Serre's Conjecture II for functionality fields of advanced surfaces.
Development bridges among classical effects and modern nonstandard difficulties, this hugely appropriate paintings embraces vital themes in research and algebra from a problem-solving viewpoint. The publication is dependent to aid the reader in formulating and proving conjectures, in addition to devising suggestions to big mathematical difficulties through making connections among quite a few ideas and concepts from diversified parts of arithmetic.
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- Math Talks for Undergraduates
- Multiplicative Number Theory I: Classical Theory (Cambridge Studies in Advanced Mathematics)
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