Total Degree Bounds for Artin L-functions and Partial Zeta Functions
نویسندگان
چکیده
منابع مشابه
Zeros of Dedekind Zeta Functions and Holomorphy of Artin L-functions
For any Galois extension of number fields K/k, the object of this note is to show that if the quotient ζK(s)/ζk(s) of the Dedekind zeta functions has a zero of order at most max{2, p2 − 2} at s0 6= 1, then every Artin L-function for Gal(K/k) is holomorphic at s0, where p2 is the second smallest prime divisor of the degree of K/k. This result gives a refinement of the work of Foote and V. K. Murty.
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2003
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2003.v10.n1.a4