Zeros of Riemann's Zeta Function are Uniformly Distributed, but not Random: An Answer to Calude's Open Problem

نویسندگان

  • Luc Longpré
  • Vladik Kreinovich
چکیده

It is known that the imaginary parts of the roots of the Riemann’s ζ−function are uniformly distributed. This fact led Calude to a natural question: is the corresponding sequence (of binary expansions merged together) random in the sense of Martin-Löf? Our answer is negative: this sequence is not random.

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عنوان ژورنال:
  • Bulletin of the EATCS

دوره 59  شماره 

صفحات  -

تاریخ انتشار 1996