Number Theory - Diophantine Problems, Uniform Distribution and Applications: Festschrift in Honour of Robert F. Tichy`s 60th Birthday, Elsholtz Christian, Grabner Peter
Автор: Paul Alan Vojta Название: Diophantine Approximations and Value Distribution Theory ISBN: 3540175512 ISBN-13(EAN): 9783540175513 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Consists of 22 research papers in Probability and Statistics. This title includes topics such as nonparametric inference, nonparametric curve fitting, linear model theory, Bayesian nonparametrics, change point problems, time series analysis and asymptotic theory. It presents research in statistical theory.
Описание: The circle method has its genesis in a paper of Hardy and Ramanujan (see Hardy 1])in 1918concernedwiththepartitionfunction andtheproblemofrep- resenting numbers as sums ofsquares. Later, in a series of papers beginning in 1920entitled "some problems of'partitio numerorum''', Hardy and Littlewood (see Hardy 1]) created and developed systematically a new analytic method, the circle method in additive number theory. The most famous problems in ad- ditive number theory, namely Waring's problem and Goldbach's problem, are treated in their papers. The circle method is also called the Hardy-Littlewood method. Waring's problem may be described as follows: For every integer k 2 2, there is a number s= s( k) such that every positive integer N is representable as (1) where Xi arenon-negative integers. This assertion wasfirst proved by Hilbert 1] in 1909. Using their powerful circle method, Hardy and Littlewood obtained a deeper result on Waring's problem. They established an asymptotic formula for rs(N), the number of representations of N in the form (1), namely k 1 provided that 8 2 (k - 2)2 - +5. Here
Описание: This Volume Consists Of A Selection Of Research-Type Articles On Dynamical Systems, Evolution Equations, Analytic Number Theory And Closely Related Topics. A Strong Emphasis Is On A Fair Balance Between Theoretical And More Applied Work, Thus Spanning The Chasm Between Abstract Insight And Actual Application. Several Of The Articles Are Expected To Be In The Intersection Of Dynamical Systems Theory And Number Theory. One Article Will Likely Relate The Topics Presented To The Academic Achievements And Interests Of Prof. Leutbecher And Shed Light On Common Threads Among All The Contributions.Contributors Include:Professor Josef F Dorfmeister (Technische Universit?t M?nchen, Germany)Dr Dominik Eberlein (Logivations Gmbh, Germany)Professor Joachim Fischer (Siemens Kunststiftung, Germany)Professor Thomas Hagen (University Of Memphis, Usa)Professor Sandra Hayes (City University Of New York, Usa)Professor Bernhard Heim (German University Of Technology, Oman)Dr Andreas Henn (Technische Universit?t Dortmund, Germany)Professor Thomas Honold (Zhejiang University, China)Dr Michael Kiermaier (Universit?t Bayreuth, Germany)Professor Aloys Krieg (Rwth Aachen, Germany)Professor Hui Ma (Tsinghua University, China)Sabyasachi Mukherjee (Jacobs University Bremen, Germany)Professor Florian Rupp (German University Of Technology, Oman)Professor J?rgen Scheurle (Technische Universit?t M?nchen, Germany)Professor Dierk Schleicher (Jacobs University Bremen, Germany)Professor Hartmut Schwetlick (University Of Bath, Uk)Dr Stephan Schmitz (Technische Universit?t M?nchen, Germany)Professor Yuri Suris (Technische Universit?t Berlin, Germany)Professor Christian Wolf (City University Of New York, Usa)Professor Johannes Zimmer (University Of Bath, Uk)
Автор: Corvaja Pietro Название: Applications of Diophantine Approximation to Integral Points ISBN: 1108424945 ISBN-13(EAN): 9781108424943 Издательство: Cambridge Academ Рейтинг: Цена: 18216.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This introduction to Diophantine approximation and Diophantine equations, with applications to related topics, pays special regard to Schmidt`s subspace theorem. It contains a number of results, some never before published in book form, and some new. The authors introduce various techniques and open questions to guide future research.
Описание: Presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory.
Описание: It will be of interest to researchers and practitioners in time series, econometricians, and graduate students in time series or econometrics, as well as environmental statisticians, data scientists, statisticians interested in graphical models, and researchers in quantitative risk management.
Автор: Umberto Zannier Название: On Some Applications of Diophantine Approximations ISBN: 8876425195 ISBN-13(EAN): 9788876425196 Издательство: Springer Рейтинг: Цена: 3634.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel`s celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel`s proof have appeared, but none seem to faithfully reproduce all features of the original one.
Описание: The contents of the papers evolve around multivariate analysis and random matrices with topics such as high-dimensional analysis, goodness-of-fit measures, variable selection and information criteria, inference of covariance structures, the Wishart distribution and growth curve models.
Автор: Evertse Название: Discriminant Equations in Diophantine Number Theory ISBN: 1107097614 ISBN-13(EAN): 9781107097612 Издательство: Cambridge Academ Рейтинг: Цена: 23285.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discriminant equations are an important class of Diophantine equations. This book provides the first comprehensive account of discriminant equations and their applications, building on the authors` earlier volume, Unit Equations in Diophantine Number Theory. Background material makes the book accessible to experts and young researchers alike.
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