We prove two results concerning clusters of zeros of the Riemann zeta-function. The first theorem is related to work of N. Levinson and H. L. Montgomery. The second part of the paper gives a sharpening of a result of Heath-Brown.
Publié le : 1982-07-04
Classification:
zero-free region,
Brun's method,
maximum modulus principle,
Riemann zeta-function,
[MATH]Mathematics [math]
@article{hal-01104224,
author = {Balasubramanian, R and Ramachandra, K},
title = {On the zeros of the Riemann zeta-function and L-series-II},
journal = {HAL},
volume = {1982},
number = {0},
year = {1982},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01104224}
}
Balasubramanian, R; Ramachandra, K. On the zeros of the Riemann zeta-function and L-series-II. HAL, Tome 1982 (1982) no. 0, . http://gdmltest.u-ga.fr/item/hal-01104224/