Zeroes of partial sums of the zeta-function
نویسندگان
چکیده
منابع مشابه
Zeros of Partial Sums of the Riemann Zeta-function
We write ρX = βX + iγX for a typical zero of FX(s). The number of these up to height T we denote by NX(T ), and the number of these with βX ≥ σ by NX(σ, T ). We follow the convention that if T is the ordinate of a zero, then NX(T ), say, is defined as limǫ→0+ NX(T + ǫ). There are two natural ways to pose questions about NX(T ), NX(σ, T ), and the distribution of the zeros generally. We can fix ...
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ژورنال
عنوان ژورنال: LMS Journal of Computation and Mathematics
سال: 2016
ISSN: 1461-1570
DOI: 10.1112/s1461157015000340