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Average of class numbers of some family of Artin-Schreier extensions of rational function fields
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In this paper we obtain average of class numbers of some family of Artin-Schreier extensions of rational function field $\bF_{q}(t)$, where $q$ is a power of $3$.
Abstract
In this paper we obtain average of class numbers of some family of Artin-Schreier extensions of rational function field $\bF_{q}(t)$, where $q$ is a power of $3$.
참고문헌 (9)
- S. Bae, "Artin-Schreier extensions of the rational function field", Mathematische Zeitschrift, 276, pp.613~633 (2014)
- Y-M. Chen, "Average values of L-functions in characteristic two", J. Number Theory, 128, pp.2138~2158 (2008)
- J. Hoffstein, "Average values of L-series in function fields", J. Reine Angew. Math, 426, pp.117~150 (1992)
- S. Hu, "The genus fields of Artin-Schreier extensions", Finite Fields Appl, 16, pp.255~264 (2010)
- 정환엽, "Note on average of class numbers of cubic function fields", 한국수학논문집, 22(3), pp.419~427 (2014), 강원경기수학회[DOI]
- H. Jung, "Average of L-functions of some family of Artin-Schreier extensions over rational function fields", submitted, ~
- M. Rosen, "Average value of class numbers in cyclic extensions of the rational function field", Number Theory, pp.307~323 (1995)
- C. L. Siegel, "The average measure of quadratic forms with given determinant and signature", Ann. of Math, 45(2), pp.667~685 (1944)
- L. A. Takhtadzhyan, "Analogues of the Vinogradov-Gauss formula on the critical line", J. Soviet Math, 24, pp.183~208 (1984)
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