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- Title
The universality theorem for Hecke L-functions.
- Authors
Lee, Yoonbok
- Abstract
We extend the universality theorem for Hecke L-functions attached to ray class characters from the previously known strip $${ \max \{\frac{1}{2}, 1-\frac{1}{d}\} < {\rm Re}\,s < 1}$$ for $${d=\left[K:\mathbb{Q}\right]}$$ to the maximal strip $${\frac{1}{2} < {\rm Re}\,s < 1}$$ under an assumption of a weak version of the density hypothesis. As a corollary, we give a new proof of the universality theorem for the Dedekind zeta function ζ( s) in the case of $${K/\mathbb{Q}}$$ finite abelian.
- Subjects
HECKE algebras; DENSITY; DEDEKIND sums; ZETA functions; ABELIAN functions
- Publication
Mathematische Zeitschrift, 2012, Vol 271, Issue 3/4, p893
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-011-0895-6