Accession Number : AD0642915

Title :   ON A CONJECTURE OF HASSE CONCERNING MULTIPLICATIVE RELATIONS OF GAUSSIAN SUMS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Yamamoto,Koichi

Report Date : AUG 1966

Pagination or Media Count : 26

Abstract : Hasse's conjecture over the multiplicative relations of Gaussian sums with e th power residue characters is confirmed when these sums are considered as ideals, and it is shown that the conjecture is false when these sums are considered merely as numbers. The Davenport-Hasse formula is transformed into a form analogous to the multiplication formula of the gamma function, and the Bernoulli polynomial of degree 1 defined over a cyclic group of finite order is the main tool to deal with the problem. (Author)

Descriptors :   (*NUMBER THEORY, *COMBINATORIAL ANALYSIS), ALGEBRA, RATIONAL NUMBERS, PRIME NUMBERS, POLYNOMIALS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE