The generalized strong recurrence for non-zero rational parameters

Details The generalized strong recurrence for non-zero rational parameters The generalized strong recurrence for non-zero rational parameters

2010-06-09

arxiv.org/abs/1006.1778v1

Mathematics

Number Theory

Scientific paper

The strong recurrence is equivalent to the Riemann hypothesis. On the other
hand, the generalized strong recurrence holds for any irrational number. In
this paper, we show the generalized strong recurrence for all non-zero rational
numbers. Moreover, we prove that the generalized strong recurrence in the
region of absolute convergence holds for any real number.

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