Yuri V. Nesterenko – författare
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2 produkter
2 produkter
Del 1819 - Lecture Notes in Mathematics
Diophantine Approximation
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 – July 6, 2000
Häftad, Engelska, 2003
535 kr
Skickas inom 10-15 vardagar
The C.I.M.E. session in Diophantine Approximation, held in Cetraro (Italy) June 28 - July 6, 2000 focused on height theory, linear independence and transcendence in group varieties, Baker's method, approximations to algebraic numbers and applications to polynomial-exponential diophantine equations and to diophantine theory of linear recurrences. Very fine lectures by D. Masser, Y. Nesterenko, H.-P. Schlickewei, W.M. Schmidt and M. Waldschmidt have resulted giving a good overview of these topics, and describing central results, both classical and recent, emphasizing the new methods and ideas of the proofs rather than the details. They are addressed to a wide audience and do not require any prior specific knowledge.
Del 1752 - Lecture Notes in Mathematics
Introduction to Algebraic Independence Theory
Häftad, Engelska, 2001
636 kr
Skickas inom 5-8 vardagar
In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.