Mean-value of the Riemann zeta-function and other remarks III
Ramachandra, K
HAL, hal-01104234 / Harvested from HAL
Text on HAL
The results given in these papers continue the theme developed in part I of this series. In Part III we prove $M(\frac{1}{2})>\!\!\!>_k (\log H_0/q_n)^{k^2}$, where $p_m/q_m$ is the $m$th convergent of the continued fraction expansion of $k$, and $n$ is the unique integer such that $q_nq_{n+1}\geq \log\log H_0 > q_nq_{n-1}$. Section 4 of part III discusses lower bounds of mean values of Titchmarsh series.
Publié le : 1983-07-04
Classification:  continued fraction,  Riemann zeta function,  Gabriel's theorem,  [MATH]Mathematics [math] 
@article{hal-01104234,
     author = {Ramachandra, K},
     title = {Mean-value of the Riemann zeta-function and other remarks III},
     journal = {HAL},
     volume = {1983},
     number = {0},
     year = {1983},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01104234}
}

Ramachandra, K. Mean-value of the Riemann zeta-function and other remarks III. HAL, Tome 1983 (1983) no. 0, . http://gdmltest.u-ga.fr/item/hal-01104234/