On Riemann zeta-function and allied questions-II

R Balasubramanian (1) , K Ramachandra (1)

1 TIFR - Tata Institute for Fundamental Research

In this paper, two conjectures on the mean value of Dirichlet polynomials are given and are shown to imply good lower bound for $\int_H^{T+H}\vert\zeta(\frac{1}{2}+it)^k\vert^2\,dt$, uniform in $k$ and independent of $T$.

Mots clés: Titchmarsh polynomial; short intervals

Domaines: Mathématiques [math]

R Balasubramanian, K Ramachandra. On Riemann zeta-function and allied questions-II. Hardy-Ramanujan Journal, 1995, Volume 18 - 1995, pp.10-22. ⟨10.46298/hrj.1995.131⟩. ⟨hal-01108757⟩