8 мар. 2017 г. · In New Computations of the Riemann Zeta Function on the Critical Line, Bober and Hiary set a new record, computing zero number n=1036+ ...

14 февр. 2024 г. · Are there any known results about the number of zeros of the zeta function along horizontal lines of the complex plane?

1 окт. 2024 г. · How large can the derivative of the Riemann zeta function be at its zeros? More specifically, let ρ be a zero of the zeta function with I(ρ)∈(0,T].

20 янв. 2019 г. · If a non-trivial zero of the zeta function existed off the critical line, would infinitely many zeros exist with the same real part? 8 · Pair ...

8 окт. 2017 г. · To be pedantic, the nontrivial zeros of ζ off the critical line come in sets of four, since if ρ is a zero inside the critical strip then so are ...

28 авг. 2015 г. · The trivial zeroes of the Riemann Zeta function are located on −2N∗ and they are simple. It is not difficult to see that, but the proof I have ...

10 мая 2017 г. · @TPTW There are many zeros o f ζ′(s) with real part >1. For each one of these zeros there are two zeros of ℜζ′(1 ...

25 февр. 2012 г. · If ζ(s) is nonzero, but ζ(s)±ζ(1−s)=0, then by the functional equation of the Riemann zeta function we have π−s2Γ(s2)±π−1−s2Γ(1−s2)=0.

31 дек. 2021 г. · The idea is to compare the density of this set with the best known estimate for the density of zeros that are on the critical line.

13 июн. 2024 г. · The total number of zeros of ζ between height 0 and 6π is less than 2, i.e., at most 1.