A formula for the discriminant of number fields
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- by Pei-Chu Hu and Zhuan Ye PDF
- Proc. Amer. Math. Soc. 139 (2011), 2007-2008 Request permission
Abstract:
We obtain a formula for the discriminant $D_{\kappa /\mathbb {Q}}$ of an algebraic number field $\kappa$ in terms of a ratio of the first two coefficients of the Taylor series of $\zeta _\kappa$ at $1/2$.References
- Pei-Chu Hu and Chung-Chun Yang, Value distribution theory related to number theory, Birkhäuser Verlag, Basel, 2006. MR 2245631
- A. M. Odlyzko, Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions: a survey of recent results, Sém. Théor. Nombres Bordeaux (2) 2 (1990), no. 1, 119–141 (English, with French summary). MR 1061762
Additional Information
- Pei-Chu Hu
- Affiliation: Department of Mathematics, Shandong University, Jinan 250100, Shandong, People’s Republic of China
- Email: pchu@sdu.edu.cn
- Zhuan Ye
- Affiliation: Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois 60115
- Email: ye@math.niu.edu
- Received by editor(s): January 4, 2010
- Received by editor(s) in revised form: June 9, 2010
- Published electronically: November 2, 2010
- Additional Notes: The first author was partially supported by the Natural Science Foundation of China
- Communicated by: Ken Ono
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 2007-2008
- MSC (2010): Primary 11R42
- DOI: https://doi.org/10.1090/S0002-9939-2010-10546-4
- MathSciNet review: 2775377