Number theory in function fields (Record no. 59209)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01888cam a22002054a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 010627s2002 nyu b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780387953359 (HB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 511 |
| Item number | ROS |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Rosen, Michael I. |
| 245 10 - TITLE STATEMENT | |
| Title | Number theory in function fields |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | New York |
| Name of publisher | Springer |
| Year of publication | 2002 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xii, 358 p. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. [341]-351) and index. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Machine generated contents note: 1 Polynomials over Finite Fields 1 -- Exercises7 -- 2 Primes, Arithmetic Functions, and the Zeta Function 11 -- Exercises19 -- 3 The Reciprocity Law 23 -- Exercises30 -- 4 Diril'et L-Series and Primes in an Arithmetic Progression 33 -- Exercises43 -- 5 Algebraic Function Fields and Global Function Fields 45 -- Exercises59 -- 6 Weil Differentials and the Canonical Class 63 -- Exercises75 -- 7 Extensions of Function Fields, Riemann-Hurwitz, -- and the ABC Theorem 77 -- Exercises98 -- 8 Constant Field Extensions 101 -- Exercises112 -- 9 Galois Extensions - Hecke and Artin L-Series 115 -- Exercises145 -- 10 Artin's Primitive Root Conjecture 149 -- Exercises166 -- 11 The Behavior of the Class Group in Constant Field Extensions 169 -- Exercises190 -- 12 Cyclotomic Function Fields 193 -- Exercises216 -- 13 Drinfeld Modules: An Introduction 219 -- Exercises239 -- 14 S-Units, S-Class Group, and the Corresponding L-Functions 241 -- Exercises256 -- 15 The Brumer-Stark Conjecture 257 -- Exercises278 -- 16 The Class Number Formulas in Quadratic -- and Cyclotomic Function Fields 283 -- Exercises302 -- 17 Average Value Theorems in Function Fields 305 -- Exercises326 -- Appendix: A Proof of the Function Field Riemann Hypothesis 329 -- Bibliography 341 -- Author Index 353 -- Subject Index 355. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Number theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Finite fields (Algebra) |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | First Floor, Rack No: 28, Shelf No: 37 | 511 ROS | 76451 | BOOKS |