Function Field Arithmetic

Dinesh S Thakur

ISBN 10: 9812388397 / ISBN 13: 9789812388391

Editore: World Scientific Publishing Co Pte Ltd, SG, 2004

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This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of Function Field Arithmetic' by David Goss, it complements that book with the inclusion of recent developments as well as the treatment of new topics such as diophantine approximation, hypergeometric functions, modular forms, transcendence, automata and solitons. There is also new work on multizeta values and log-algebraicity. The author has included numerous worked-out examples. Many open problems, which can serve as good thesis problems, are discussed.

Codice articolo LU-9789812388391

Dati bibliografici

• Titolo: Function Field Arithmetic
• Editore: World Scientific Publishing Co Pte Ltd, SG
• Data di pubblicazione: 2004
• Lingua: Inglese
• ISBN 10: 9812388397
• ISBN 13: 9789812388391
• Rilegatura: Hardback
• Condizione: New

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Riassunto

This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of Function Field Arithmetic' by David Goss, it complements that book with the inclusion of recent developments as well as the treatment of new topics such as diophantine approximation, hypergeometric functions, modular forms, transcendence, automata and solitons. There is also new work on multizeta values and log-algebraicity. The author has included numerous worked-out examples. Many open problems, which can serve as good thesis problems, are discussed.

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