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Stabilized Values of the Generalized Goss Zeta Function

✍ Scribed by Farrell Brumley

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 122 KB
Volume: 80
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1999.2431

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✦ Synopsis

After a brief review in the first section of the definitions and basic properties of the Riemann and Goss zeta functions, we begin in Section 2 the analysis of the generalized Goss zeta function by examining its stabilization properties. An idea in this section gives rise to the new concept of a stabilized `-polynomial, which is the main result of this paper. In Section 3, we give the general form of such polynomials for a certain equivalence class in the domain space.

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