Multi-step prediction of zero series and gap series of Riemann zeta function
نویسندگان
چکیده
منابع مشابه
Notes Relating to Newton Series for the Riemann Zeta Function
This paper consists of the extended working notes and observations made during the development of a joint paper[?] with Philippe Flajolet on the Riemann zeta function. Most of the core ideas of that paper, of which a majority are due to Flajolet, are reproduced here; however, the choice of wording used here, and all errors and omissions are my own fault. This set of notes contains considerably ...
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We investigate the pointwise and mean square order of the function Z2(s), where Zk(s) = ∫∞ 1 |ζ(12 + ix)|2kx−s dx, k ∈ N. Three conjectures involving Z2(s) and certain exponential sums of Hecke series in short intervals are formulated, which have important consequences in zeta-function theory. A new order result for Z2(s) is obtained, and the function Zk(s) is discussed. 1. Spectral theory and ...
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ژورنال
عنوان ژورنال: Results in Physics
سال: 2021
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2021.104449