02450nam 2200601Ia 450 991078321820332120230617015353.01-281-87236-99786611872366981-256-238-9(CKB)1000000000033285(EBL)227131(OCoLC)475932960(SSID)ssj0000159644(PQKBManifestationID)11946953(PQKBTitleCode)TC0000159644(PQKBWorkID)10158715(PQKB)10901075(MiAaPQ)EBC227131(WSP)00005535(Au-PeEL)EBL227131(CaPaEBR)ebr10078530(CaONFJC)MIL187236(EXLCZ)99100000000003328520040303d2004 uy 0engur|n|---|||||txtccrFunction field arithmetic[electronic resource] /by Dinesh S. ThakurRiver Edge, N.J. World Scientificc20041 online resource (405 p.)Description based upon print version of record.981-238-839-7 Includes bibliographical references (p. 373-388).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; BibliographyThis 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.Algebraic fieldsArithmetic functionsDrinfeld modulesAlgebraic fields.Arithmetic functions.Drinfeld modules.512/.3Thakur Dinesh S.1961-1468596MiAaPQMiAaPQMiAaPQBOOK9910783218203321Function field arithmetic3679875UNINA