Proceedings of the Japan Academy, Series A, Mathematical Sciences

Universality of Hecke $L$-functions in the Grossencharacter-aspect

Shin-ya Koyama and Hidehiko Mishou

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Abstract

We consider the Hecke $L$-function $L(s,\lambda^m)$ of the imaginary quadratic field $\mathbf{Q}(i)$ with the $m$-th Grossencharacter $\lambda^m$. We obtain the universality property of $L(s,\lambda^m)$ as both $m$ and $t = \operatorname{Im}(s)$ go to infinity.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 78, Number 5 (2002), 63-67.

Dates
First available in Project Euclid: 23 May 2006

Permanent link to this document
https://projecteuclid.org/euclid.pja/1148392714

Digital Object Identifier
doi:10.3792/pjaa.78.63

Mathematical Reviews number (MathSciNet)
MR1905390

Zentralblatt MATH identifier
1041.11060

Subjects
Primary: 11M41: Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}
Secondary: 19R42

Keywords
Hecke $L$-function universality of zeta functions Grossencharacter imaginary quadratic field

Citation

Mishou, Hidehiko; Koyama, Shin-ya. Universality of Hecke $L$-functions in the Grossencharacter-aspect. Proc. Japan Acad. Ser. A Math. Sci. 78 (2002), no. 5, 63--67. doi:10.3792/pjaa.78.63. https://projecteuclid.org/euclid.pja/1148392714


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