Oscillations of the error term in the prime number theorem
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-018-0884-x
Abstract: Let $${\sigma + i{\gamma}}$$σ+iγ be a zero of the Riemann zeta function to the right of the line $${\frac{1}{2} + it}$$12+it. We show that this zero causes large oscillations of the error term of the… read more here.
Keywords: term; error term; number theorem; oscillations error ... See more keywords
On the intersections of exceptional sets in Borel’s normal number theorem and Erdös–Rényi limit theorem
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Number Theory"
DOI: 10.1142/s1793042121500172
Abstract: For any x ∈ [0, 1), let Sn(x) be the partial summation of the first n digits in the binary expansion of x and Rn(x) be its run-length function. The classical Borel’s normal number theorem… read more here.
Keywords: normal number; theorem; number; borel normal ... See more keywords