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Introduction to analytic and probabilistic number theory

This book provides a self contained, thorough introduction to the analytic and probabilistic methods of number theory. The prerequisites being reduced to classical contents of undergraduate courses, it offers to students and young researchers a systematic and consistent account on the subject. It is...

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Detalles Bibliográficos
Autor principal: Tenenbaum, Gérald
Lenguaje:eng
Publicado: American Mathematical Society 2015
Materias:
Acceso en línea:http://cds.cern.ch/record/2279677
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author Tenenbaum, Gérald
author_facet Tenenbaum, Gérald
author_sort Tenenbaum, Gérald
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description This book provides a self contained, thorough introduction to the analytic and probabilistic methods of number theory. The prerequisites being reduced to classical contents of undergraduate courses, it offers to students and young researchers a systematic and consistent account on the subject. It is also a convenient tool for professional mathematicians, who may use it for basic references concerning many fundamental topics. Deliberately placing the methods before the results, the book will be of use beyond the particular material addressed directly. Each chapter is complemented with bibliographic notes, useful for descriptions of alternative viewpoints, and detailed exercises, often leading to research problems. This third edition of a text that has become classical offers a renewed and considerably enhanced content, being expanded by more than 50 percent. Important new developments are included, along with original points of view on many essential branches of arithmetic and an accurate perspective on up-to-date bibliography. The author has made important contributions to number theory and his mastery of the material is reflected in the exposition, which is lucid, elegant, and accurate. -Mathematical Reviews.
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spelling cern-22796772021-04-21T19:05:58Zhttp://cds.cern.ch/record/2279677engTenenbaum, GéraldIntroduction to analytic and probabilistic number theoryMathematical Physics and MathematicsThis book provides a self contained, thorough introduction to the analytic and probabilistic methods of number theory. The prerequisites being reduced to classical contents of undergraduate courses, it offers to students and young researchers a systematic and consistent account on the subject. It is also a convenient tool for professional mathematicians, who may use it for basic references concerning many fundamental topics. Deliberately placing the methods before the results, the book will be of use beyond the particular material addressed directly. Each chapter is complemented with bibliographic notes, useful for descriptions of alternative viewpoints, and detailed exercises, often leading to research problems. This third edition of a text that has become classical offers a renewed and considerably enhanced content, being expanded by more than 50 percent. Important new developments are included, along with original points of view on many essential branches of arithmetic and an accurate perspective on up-to-date bibliography. The author has made important contributions to number theory and his mastery of the material is reflected in the exposition, which is lucid, elegant, and accurate. -Mathematical Reviews.American Mathematical Societyoai:cds.cern.ch:22796772015
spellingShingle Mathematical Physics and Mathematics
Tenenbaum, Gérald
Introduction to analytic and probabilistic number theory
title Introduction to analytic and probabilistic number theory
title_full Introduction to analytic and probabilistic number theory
title_fullStr Introduction to analytic and probabilistic number theory
title_full_unstemmed Introduction to analytic and probabilistic number theory
title_short Introduction to analytic and probabilistic number theory
title_sort introduction to analytic and probabilistic number theory
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2279677
work_keys_str_mv AT tenenbaumgerald introductiontoanalyticandprobabilisticnumbertheory