Do the Zeros of Riemann's Zeta-Function Form a Random Sequence?
نویسندگان
چکیده
The aim of this note is to introduce the notion of random sequences of reals and to prove that the answer to the question in the title is negative, as anticipated by the informal discussion of Longpr e and Kreinovich [15].
منابع مشابه
Zeros of Riemann's Zeta Function are Uniformly Distributed, but not Random: An Answer to Calude's Open Problem
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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ورودعنوان ژورنال:
- Bulletin of the EATCS
دوره 62 شماره
صفحات -
تاریخ انتشار 1997