Disproof of some conjectures of K.Ramachandra
anderson, johan
HAL, hal-01109508 / Harvested from HAL
In a recent paper K. Ramachandra states some conjectures, and gives consequences in the theory of the Riemann zeta function. In this paper we will present two different disproofs of them. The first will be an elementary application of the Szasz-M\"unto theorem. The second will depend on a version of the Voronin universality theorem, and is also slightly stronger in the sense that it disproves a weaker conjecture. An elementary (but more complicated) disproof has been given by Rusza-Lazkovich.
Publié le : 1999-07-04
Classification:  Titchmarsh series,  Dirichlet series,  [MATH]Mathematics [math]
@article{hal-01109508,
     author = {anderson, johan},
     title = {Disproof of some conjectures of K.Ramachandra},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01109508}
}
anderson, johan. Disproof of some conjectures of K.Ramachandra. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-01109508/