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Book
Number theory and related fields : in memory of Alf Van der Poorten
Authors: --- --- ---
ISBN: 1493902172 1461466415 1461466423 Year: 2013 Publisher: New York : Springer,

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Abstract

Number Theory and Related Fields collects contributions based on the proceedings of the “International Number Theory Conference in Memory of Alf van der Poorten,” hosted by CARMA and held March 12–16, 2012, at the University of Newcastle, Australia. The purpose of the conference was to commemorate the research and influence of Alf van der Poorten in number theory and in general mathematics and presented an exciting venue for promoting number-theoretic research and graduate study in Australia. Comprehensive accounts of recent achievements in theoretical and computational number theory and its applications to cryptography and theoretical computer science were also paramount to the conference. The volume begins with a detailed academic appreciation of van der Poorten’s life and work, and includes research articles written by some of the most distinguished mathematicians in the field of number theory. Contributions also include related topics that focus on the various research interests of van der Poorten, such as continued fractions and elliptic curves. Researchers in number theory and its applications will find this Proceedings of great interest.

Diophantine analysis : proceedings of the number theory section of the 1985 Australian Mathematical Society convention
Authors: --- ---
ISBN: 0521339235 Year: 1986 Volume: vol 109 Publisher: Cambridge University Press

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Book
Recurrence sequences
Authors: --- --- ---
ISBN: 0821833871 Year: 2003 Publisher: Providence, RI : A.M.S. (American Mathematical Society),

Diophantine analysis
Authors: --- ---
ISBN: 113988428X 1107094062 1107090954 110708783X 110710002X 110710257X 0511721307 9781107087835 9780511721304 1299706991 9781299706996 0521339235 9780521339230 Year: 1986 Volume: 109 Publisher: Cambridge [Cambridgeshire] New York Cambridge University Press

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The papers in this volume, which were presented at the 1985 Australian Mathematical Society convention, survey recent work in Diophantine analysis. The contributors are leading mathematicians in the world, and their articles are state of the art accounts, many of which include open problems pointing the way to further research. The contributions will be of general interest to number theorists and of particular interest to workers in transcendence theory, Diophantine approximation and exponential sums.


Multi
Number theory and related fields : in memory of Alf Van der Poorten
Authors: --- --- ---
ISBN: 9781461466420 1461466423 Year: 2013 Publisher: New York : Springer,

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Abstract

Number Theory and Related Fields collects contributions based on the proceedings of the “International Number Theory Conference in Memory of Alf van der Poorten,” hosted by CARMA and held March 12–16, 2012, at the University of Newcastle, Australia. The purpose of the conference was to commemorate the research and influence of Alf van der Poorten in number theory and in general mathematics and presented an exciting venue for promoting number-theoretic research and graduate study in Australia. Comprehensive accounts of recent achievements in theoretical and computational number theory and its applications to cryptography and theoretical computer science were also paramount to the conference. The volume begins with a detailed academic appreciation of van der Poorten’s life and work, and includes research articles written by some of the most distinguished mathematicians in the field of number theory. Contributions also include related topics that focus on the various research interests of van der Poorten, such as continued fractions and elliptic curves. Researchers in number theory and its applications will find this Proceedings of great interest.


Book
Neverending fractions : an introduction to continued fractions
Authors: --- --- ---
ISBN: 1139984446 1139989065 0511902654 Year: 2014 Publisher: Cambridge : Cambridge University Press,

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Despite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a wide audience, from researchers to students and even amateur enthusiasts. Neverending Fractions brings these results together, offering fresh perspectives on a mature subject. Beginning with a standard introduction to continued fractions, the book covers a diverse range of topics, from elementary and metric properties, to quadratic irrationals, to more exotic topics such as folded continued fractions and Somos sequences. Along the way, the authors reveal some amazing applications of the theory to seemingly unrelated problems in number theory. Previously scattered throughout the literature, these applications are brought together in this volume for the first time. A wide variety of exercises guide readers through the material, which will be especially helpful to readers using the book for self-study, and the authors also provide many pointers to the literature.


Book
Neverending fractions
Authors: --- --- ---
ISBN: 9780511902659 9781107006652 9780521186490 Year: 2014 Publisher: Cambridge Cambridge University Press

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