Inaug.-diss.--Strassburg. / Lebenslauf.

[No abstract available] / Science, Faculty of / Mathematics, Department of / Graduate

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

Thesis (Ph. D.)--University of Chicago, 1934. / Vita. Lithoprinted. "Private edition, distributed by the University of Chicago libraries, Chicago, Illinois."

Thesis (M.A.)--Kutztown State College. / Source: Masters Abstracts International, Volume: 45-06, page: 3170. Bibliography: leaves 60-61.

"Of considerable interest among mathematicians is the problem of the determination of primality of positive integers. For a small integer, N, we may say that N is prime or composite merely by trying to divide N by all primes less than or equal to the square root of N since if N is composite, one of its factors must be [less than or equal to] the square root of N. However, if N is large this test loses its practicality and we must resort to a more feasible method. It is the purpose of this paper to trace and show the development of such methods"--Introduction. / "June, 1959." / Typescript. / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Advisor: Paul J. McCarthy, Professor Directing Paper. / Includes bibliographical references (leaf 28).

Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1894. / On t.p. "n̳" is superscript. "Sonderabdruck aus Heft 4, Bd. 113 des Journals für die reine und angewandte Mathematik"--P. 17. Vita.

This thesis presents a series of theorems along with proofs to establish a theory of congruences.

No description available.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1967. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.