2
votes
2answers
419 views

explicit large gap for consecutive zeros of the Riemann zeta function

In Theorem 9.12, Titchmarsh (The Theory of the Riemann Zeta Function) proved that For every large positive T, $\zeta(s)$ has a zero $\beta+i\gamma$ satisfying $$ |\gamma-T|<\frac{A}{\log\log\log ...
5
votes
2answers
551 views

Upper bounds on the difference of consecutive zeta zeros

There are many results on the spacing of the gaps between nontrivial zeros of the $\zeta$ function, from trivial (average value is $\frac{2\pi}{\log\gamma_n}$) to difficult (bounds on max and min ...