Dedekind zeta functions of certain real quadratic fields
نویسندگان
چکیده
منابع مشابه
Real zeros of Dedekind zeta functions of real quadratic fields
Let χ be a primitive, real and even Dirichlet character with conductor q, and let s be a positive real number. An old result of H. Davenport is that the cycle sums Sν(s, χ) = ∑(ν+1)q−1 n=νq+1 χ(n) ns , ν = 0, 1, 2, . . . , are all positive at s = 1, and this has the immediate important consequence of the positivity of L(1, χ). We extend Davenport’s idea to show that in fact for ν ≥ 1, Sν(s, χ) ...
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Article history: Received 6 April 2010 Revised 24 February 2012 Accepted 26 February 2012 Available online xxxx Communicated by David Goss
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2006
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.37.2006.150