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Record Nr. |
UNINA9910450150503321 |
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Autore |
Thakur Dinesh S. <1961-> |
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Titolo |
Function field arithmetic [[electronic resource] /] / by Dinesh S. Thakur |
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Pubbl/distr/stampa |
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River Edge, N.J., : World Scientific, c2004 |
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ISBN |
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1-281-87236-9 |
9786611872366 |
981-256-238-9 |
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Descrizione fisica |
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1 online resource (405 p.) |
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Disciplina |
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Soggetti |
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Algebraic fields |
Arithmetic functions |
Drinfeld modules |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 373-388). |
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Nota di contenuto |
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Function Field Arithmetic; Contents; 1. Number fields and Function fields; 2. Drinfeld modules; 3. Explicit class field theory; 4. Gauss sums and Gamma functions; 5. Zeta functions; 6. Higher rank theory; 7. Higher dimensions and geometric tools; 8. Applications to Gauss sums, Gamma and Zeta values; 9. Diophantine approximation; 10. Transcendence results; 11. Automata and algebraicity: Applications; Note on the Notation; Bibliography |
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Sommario/riassunto |
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This book provides an exposition of function field arithmetic withemphasis on recent developments concerning Drinfeld modules, thearithmetic of special values of transcendental functions (such as zetaand gamma functions and their interpolations), diophantineapproximation and related interesting open problems. |
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