On Eisenstein polynomials and zeta polynomials |
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Authors: | Tsuyoshi Miezaki |
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Institution: | Faculty of Education, University of the Ryukyus, Okinawa 903-0213, Japan |
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Abstract: | Eisenstein polynomials, which were defined by Oura, are analogues of the concept of an Eisenstein series. Oura conjectured that there exist some analogous properties between Eisenstein series and Eisenstein polynomials. In this paper, we provide new analogous properties of Eisenstein polynomials and zeta polynomials. These properties are finite analogies of certain properties of Eisenstein series. |
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Keywords: | Primary 94B05 secondary 11T71 11F11 Eisenstein polynomials Zeta polynomials Weight enumerators |
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