Accession Number:

AD0625477

Title:

ON THE ZETA FUNCTION OF A HYPERSURFACE,

Descriptive Note:

Corporate Author:

JOHNS HOPKINS UNIV BALTIMORE MD

Personal Author(s):

• Dwork,Bernard

Report Date:

1962-01-01

Pagination or Media Count:

65.0

Abstract:

This article is concerned with the further development of the methods of p-adic analysis used in an earlier article to study the zeta function of an algebraic variety defined over a finite field. These methods are applied to the zeta function of a nonsingular hypersurface of degree d in projective n-space of characteristic p defined over the field of q elements.

Descriptors:

• (*SPECIAL FUNCTIONS(MATHEMATICAL)
• ALGEBRAIC GEOMETRY)
• (*NUMBER THEORY
• ALGEBRA)
• POLYNOMIALS
• POWER SERIES
• REAL NUMBERS
• OPERATORS(MATHEMATICS)
• TOPOLOGY

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE