Large gaps between consecutive zeros, on the critical line, of the Riemann zeta-function

Autor:	Bredberg, Johan
Rok vydání:	2011
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We show that for any sufficiently large $T,$ there exists a subinterval of $[T,2T]$ of length at least $2.766 \times \frac{2\pi}{\log{T}},$ in which the function $t \mapsto \zeta(1/2 + it)$ has no zeros. Comment: Minor typos fixed. Also, now we first discuss our goal and then examine some needed integral-results. The actual maths is essentially unchanged
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1101.3197 Zobrazit plný text záznamu View this record from Arxiv