Items related to Diophantine m-tuples and Elliptic Curves (Developments...
- PublisherSpringer
- Publication date2024
- ISBN 10 3031567234
- ISBN 13 9783031567230
- BindingHardcover
- LanguageEnglish
- Number of pages346
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Diophantine M-tuples and Elliptic Curves
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Diophantine M-tuples and Elliptic Curves
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Diophantine m-tuples and Elliptic Curves (Hardcover)
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Springer International Publishing AG, Cham, 2024
ISBN 10: 3031567234
ISBN 13: 9783031567230
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Hardcover
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Hardcover. Condition: new. Hardcover. This book provides an overview of the main results and problems concerning Diophantine m-tuples, i.e., sets of integers or rationals with the property that the product of any two of them is one less than a square, and their connections with elliptic curves. It presents the contributions of famous mathematicians of the past, like Diophantus, Fermat and Euler, as well as some recent results of the author and his collaborators.The book presents fragments of the history of Diophantine m-tuples, emphasising the connections between Diophantine m-tuples and elliptic curves. It is shown how elliptic curves are used in solving some longstanding problems on Diophantine m-tuples, such as the existence of infinite families of rational Diophantine sextuples. On the other hand, rational Diophantine m-tuples are used to construct elliptic curves with interesting MordellWeil groups, including curves of record rank with agiven torsion group. The book contains concrete algorithms and advice on how to use the software package PARI/GP for solving computational problems.This book is primarily intended for researchers and graduate students in Diophantine equations and elliptic curves. However, it can be of interest to other mathematicians interested in number theory and arithmetic geometry. The prerequisites are on the level of a standard first course in elementary number theory. Background in elliptic curves, Diophantine equations and Diophantine approximations is provided. This book provides an overview of the main results and problems concerning Diophantine m-tuples, i.e., sets of integers or rationals with the property that the product of any two of them is one less than a square, and their connections with elliptic curves. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783031567230
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Diophantine m-tuples and Elliptic Curves (Developments in Mathematics, 79)
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Diophantine m-tuples and Elliptic Curves (Developments in Mathematics, 79)
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Diophantine M-tuples and Elliptic Curves
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Diophantine M-tuples and Elliptic Curves
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Diophantine m-tuples and Elliptic Curves
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Springer, Berlin, Springer Nature Switzerland, European Regional Development Fund, Springer, 2024
ISBN 10: 3031567234
ISBN 13: 9783031567230
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Hardcover
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides an overview of the main results and problems concerning Diophantinem-tuples, i.e., sets of integers or rationals with the property that the product of any two of them is one less than a square, and their connections with elliptic curves. It presents the contributions of famous mathematicians of the past, like Diophantus, Fermat and Euler, as well as some recent results of the author and his collaborators.The book presents fragments of the history of Diophantinem-tuples, emphasising the connections between Diophantinem-tuples and elliptic curves. It is shown how elliptic curves are used in solving some longstanding problems on Diophantinem-tuples, such as the existence of infinite families of rational Diophantine sextuples. On the other hand, rational Diophantinem-tuples are used to construct elliptic curves with interesting Mordell-Weil groups, including curves of record rank with agiven torsion group. The book contains concrete algorithms and advice on how to use the software package PARI/GP for solving computational problems.This book is primarily intended for researchers and graduate students in Diophantine equations and elliptic curves. However, it can be of interest to other mathematicians interested in number theory and arithmetic geometry. The prerequisites are on the level of a standard first course in elementary number theory. Background in elliptic curves, Diophantine equations and Diophantine approximations is provided. 335 pp. Englisch. Seller Inventory # 9783031567230
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Diophantine m-tuples and Elliptic Curves
Published by
Springer, Berlin|Springer Nature Switzerland|European Regional Development Fund|Springer, 2024
ISBN 10: 3031567234
ISBN 13: 9783031567230
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Hardcover
Seller: moluna, Greven, Germany
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Diophantine m-tuples and Elliptic Curves
Published by
Springer Nature Switzerland, 2024
ISBN 10: 3031567234
ISBN 13: 9783031567230
New
Hardcover
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides an overview of the main results and problems concerning Diophantinem-tuples, i.e., sets of integers or rationals with the property that the product of any two of them is one less than a square, and their connections with elliptic curves. It presents the contributions of famous mathematicians of the past, like Diophantus, Fermat and Euler, as well as some recent results of the author and his collaborators.The book presents fragments of the history of Diophantinem-tuples, emphasising the connections between Diophantinem-tuples and elliptic curves. It is shown how elliptic curves are used in solving some longstanding problems on Diophantinem-tuples, such as the existence of infinite families of rational Diophantine sextuples. On the other hand, rational Diophantinem-tuples are used to construct elliptic curves with interesting Mordell-Weil groups, including curves of record rank with agiven torsion group. The book contains concrete algorithms and advice on how to use the software package PARI/GP for solving computational problems.This book is primarily intended for researchers and graduate students in Diophantine equations and elliptic curves. However, it can be of interest to other mathematicians interested in number theory and arithmetic geometry. The prerequisites are on the level of a standard first course in elementary number theory. Background in elliptic curves, Diophantine equations and Diophantine approximations is provided. Seller Inventory # 9783031567230
Quantity: 1 available