On the success and failure of Gram’s Law and the Rosser Rule

نویسندگان

  • Timothy Trudgian
  • T. S. Trudgian
چکیده

This article contains a survey on results relating to Gram’s Law and the distribution of the zeroes of the Riemann zeta-function. It is shown that Gram’s Law and the Rosser Rule fail a positive proportion of the time. A weaker version of Gram’s Law — herein called the Weak Gram Law — is shown to be true a positive proportion of the time.

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تاریخ انتشار 2010