R Balasubramanian ; K Ramachandra - On Riemann zeta-function and allied questions-II

hrj:131 - Hardy-Ramanujan Journal, January 1, 1995, Volume 18 - 1995 - https://doi.org/10.46298/hrj.1995.131
On Riemann zeta-function and allied questions-II

Authors: R Balasubramanian 1; K Ramachandra 1

  • 1 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 $T$.

https://doi.org/10.46298/hrj.1995.131
Source: HAL:hal-01108757v1
Volume: Volume 18 - 1995
Published on: January 1, 1995
Imported on: March 3, 2015
Keywords: short intervals,Titchmarsh polynomial,[MATH] Mathematics [math]

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Source : ScholeXplorer IsRelatedTo ARXIV 1207.4624
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1207.4624
  • 1207.4624
  • 10.48550/arxiv.1207.4624
On a problem of Ramachandra and approximation of functions by Dirichlet polynomials with bounded coefficients

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