Hoi Wai-leung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 62-63). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Preminilaries --- p.8 / Chapter 2.1 --- Gauss and Jacobi Sums --- p.8 / Chapter 2.2 --- Basic Properties of Characters and Jacobi Sums --- p.10 / Chapter 2.3 --- Characters on Ok/Q --- p.11 / Chapter 2.4 --- Bernoulli Numbers and Bernoulli Polynomials --- p.15 / Chapter 2.5 --- Evaluation of Bp-1(k)-Bp-1 (mod p) --- p.16 / Chapter 2.5.1 --- "k = 2,3,4,6" --- p.16 / Chapter 2.5.2 --- "k = 5,8,10,12" --- p.17 / Chapter 3 --- The Main Result --- p.19 / Chapter 3.1 --- p-adic Gamma Functions and Gross-Koblitz Formula --- p.19 / Chapter 3.2 --- The Sum Σ - j(modp) --- p.22 / Chapter 3.3 --- The Main Theorem --- p.23 / Chapter 4 --- Evaluation of J(xk-r： Xk-s) (mod Q2) --- p.29 / Chapter 4.1 --- Basic Result --- p.29 / Chapter 4.2 --- Results for k = 8 --- p.30 / Chapter 4.3 --- Results for k = 12 --- p.32 / Chapter 4.4 --- "Results for k = 10,5" --- p.35 / Chapter 5 --- Evaluation of Binomial Coefficients --- p.41 / Chapter 5.1 --- Results for k = 8 --- p.41 / Chapter 5.2 --- Results for k = 12 --- p.44 / Chapter 5.3 --- Results for k = 10 --- p.49 / Chapter 5.4 --- Numerical Examples --- p.54 / Chapter 5.4.1 --- k = 8 --- p.54 / Chapter 5.4.2 --- k = 10 --- p.56 / Chapter 5.4.3 --- k = 12 --- p.58 / Bibliography --- p.61
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324031 |
| Date | January 2002 |
| Contributors | Hoi, Wai-leung., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 63 leaves ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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