| 深入剖析全局函数域和代数数域之间的相似性 |
| 《函数域中的数论(英文影印版)》 preface 1 polynomials over finite fields exercises 2 primes, arithmetic functions, and the zeta function exercises 3 the reciprocity law exercises 4 dirichlet l-series and primes in an arithmetic progression exercises 5 algebraic function fields and global function fields exercises 6 well differentials and the canonical class exercises 7 extensions of function fields, riemann-hurwitz,and the abc theorem exercises 8 constant field extensions exercises 9 galois extensions - hecke and artin l-series exercises .10 artin's primitive root conjecture exercises 11 the behavior of the class group in constant field extensions exercises 12 cyclotomic function fields exercises 13 drinfeld modules: an introduction exercises 14 s-units, s-class group, and the corresponding l-functions exercises 15 the brumer-stark conjecture exercises 16 the class number formulas in quadratic and cyclotomic function fields exercises 17 average value theorems in function fields exercises appendix: a proof of the function field riemann hypothesis bibliography author index subject index |
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