Luis Baez-Duarte
Published 2005-04-20Version 1
The well-known necessary and sufficient criteria for the Riemann hypothesis of M. Riesz and Hardy-Littlewood, based on the order of growth at infinity along the positive real axis of certain entire functions, are here imbedded in a general theorem for a class of entire functions, which in turn is seen to be a consequence of a rather transparent convolution criterion. Some properties of the convolutions involved sharpen what is hitherto known for the Riesz function.
Robin's theorem, primes, and a new elementary reformulation of the Riemann Hypothesis
On primitive Dirichlet characters and the Riemann hypothesis
A few equalities involving integrals of the logarithm of the Riemann Zeta-function and equivalent to the Riemann hypothesis
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