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On Eisenstein polynomials and zeta polynomials II.
- Source :
- International Journal of Number Theory; Feb2020, Vol. 16 Issue 1, p207-218, 12p
- Publication Year :
- 2020
-
Abstract
- Eisenstein polynomials, which were defined by the second author, are analogues to the concept of an Eisenstein series. The second author conjectured that there exist some analogous properties between Eisenstein series and Eisenstein polynomials. In the previous paper, the first author provided new analogous properties of Eisenstein polynomials and zeta polynomials for the Type II case. In this paper, the analogous properties of Eisenstein polynomials and zeta polynomials are shown to also hold for the Type I, Type III, and Type IV cases. These properties are finite analogies of certain properties of Eisenstein series. [ABSTRACT FROM AUTHOR]
- Subjects :
- EISENSTEIN series
POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 17930421
- Volume :
- 16
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- International Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 141510720
- Full Text :
- https://doi.org/10.1142/S1793042120500116