Quadratic forms 6. Diophantine approximation 7. Quadratic fields 8. Diophantine equations 9. Factorization and primality testing Number fields Ideals Units and ideal classes Analytic number theory On the zeros of the zeta-function On the distribution of the primes The sieve and circle methods Elliptic curves Bibliography Index.
Counterexamples related to the Sato-Tate conjecture
Most of the results have never before appeared in one book and many of them were proved only during the last decade. Eureka 30 , 22—26 Google Scholar. Evans, L.
Studies in Advanced Mathematics. Flajolet, P. Mann, H. Olmsted, J. Payne, M. Piepmeyer, L. Quas, A. Schmutz, E. Schwartz, R. Mathematika 58 2 , — Google Scholar.
Scott, P. Pure Appl. Solymosi, J. Stein, E.
Distribution Modulo One and Diophantine Approximation
An Introduction, Princeton Lectures in Analysis, 1. Ulam, S. Interscience, New York Google Scholar. Weyl, H.
Distribution Modulo One and Diophantine Approximation | Mathematical Association of America
Wolff, T. Free download. Book file PDF easily for everyone and every device. Yann Bugeaud. Vassili N.
Alejandro Adem. Frederic Helein. Karoly Boroczky. Allan Pinkus. Home Contact us Help Free delivery worldwide. Free delivery worldwide. Bestselling Series. Harry Potter. Popular Features. New Releases. Description This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related topics. Most of the results have never before appeared in one book and many of them were proved only during the last decade. The author takes a point of view from combinatorics on words and introduces a variety of techniques, including explicit constructions of normal numbers, Schmidt's games, Riesz product measures and transcendence results.
With numerous exercises, the book is ideal for graduate courses on Diophantine approximation or as an introduction to distribution modulo one for non-experts. Specialists will appreciate the inclusion of over 50 open problems and the rich and comprehensive bibliography of over references. Other books in this series.
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Add to basket. Synthetic Geometry of Manifolds Anders Kock. Indian Acad. A , 12 pp. Niven, H. Zuckerman, "On the definition of normal numbers" Pacific J. Champernowne, "The construction of decimals normal in the scale of ten" J. London Math. France , 45 pp. Postnikov, "Arithmetic modelling of random processes" Trudy Mat.
Hardy, G. Heath-Brown and J. Foreword by Andrew Wiles. Niven, "Irrational numbers" , Math.
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