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Article Dans Une Revue Hardy-Ramanujan Journal Année : 1999

Disproof of some conjectures of K.Ramachandra

Résumé

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.
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Dates et versions

hal-01109508 , version 1 (26-01-2015)

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Johan Anderson. Disproof of some conjectures of K.Ramachandra. Hardy-Ramanujan Journal, 1999, Volume 22 - 1999 (1), pp.2-7. ⟨10.46298/hrj.1999.137⟩. ⟨hal-01109508⟩
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