LEADER 02450nam 2200601Ia 450 001 9910783218203321 005 20230617015353.0 010 $a1-281-87236-9 010 $a9786611872366 010 $a981-256-238-9 035 $a(CKB)1000000000033285 035 $a(EBL)227131 035 $a(OCoLC)475932960 035 $a(SSID)ssj0000159644 035 $a(PQKBManifestationID)11946953 035 $a(PQKBTitleCode)TC0000159644 035 $a(PQKBWorkID)10158715 035 $a(PQKB)10901075 035 $a(MiAaPQ)EBC227131 035 $a(WSP)00005535 035 $a(Au-PeEL)EBL227131 035 $a(CaPaEBR)ebr10078530 035 $a(CaONFJC)MIL187236 035 $a(EXLCZ)991000000000033285 100 $a20040303d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFunction field arithmetic$b[electronic resource] /$fby Dinesh S. Thakur 210 $aRiver Edge, N.J. $cWorld Scientific$dc2004 215 $a1 online resource (405 p.) 300 $aDescription based upon print version of record. 311 $a981-238-839-7 320 $aIncludes bibliographical references (p. 373-388). 327 $aFunction 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 330 $aThis 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. 606 $aAlgebraic fields 606 $aArithmetic functions 606 $aDrinfeld modules 615 0$aAlgebraic fields. 615 0$aArithmetic functions. 615 0$aDrinfeld modules. 676 $a512/.3 700 $aThakur$b Dinesh S.$f1961-$01468596 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910783218203321 996 $aFunction field arithmetic$93679875 997 $aUNINA