A new upper bound for the Riemann zeta-function and applications to the distributions of prime numbers

  • Trudgian, Timothy (PI)

    Project: Research

    Project Details

    Description

    The distribution of prime numbers, numbers that are only divisible by themselves and 1, is intimately connected with the properties of the Riemann zeta-function. Determining the precise behaviour of the Riemann zeta-function is one of the greatest challenges of mathematics. If one could improve the estimate on the growth of the Riemann zeta-function, one would immediately improve many long-standing results concerning prime numbers. This improved estimate would also ease the computational investigation of more general functions, the study of which seems to be a promising method of attacking the Riemann hypothesis, a conjecture still unverified after 150 years. The purpose of this project is to provide such an estimate.
    StatusFinished
    Effective start/end date30/06/1224/12/16

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