Wünsche, A. (2016) Approach to a Proof of the Riemann Hypothesis by the Second Mean-Value Theorem of Calculus. Advances in Pure Mathematics, 6, 972-1021.
https://doi.org/10.4236/apm.2016.613074

has been cited by the following article:

• TITLE: Correction and Supplement to Approach for a Proof of Riemann Hypothesis by Second Mean-Value Theorem

  AUTHORS: Alfred Wünsche

  KEYWORDS: Riemann Hypothesis, Zeros of Modified Bessel Functions, Almost-Periodic Functions

  JOURNAL NAME: Advances in Pure Mathematics, Vol.7 No.3, March 31, 2017

  ABSTRACT: From the theorem 1 formulated in [1], a set of functions of measure zero within the set of all corresponding functions has to be excluded. These are the cases where the Omega functions Ω(u)are piece-wise constant on intervals of equal length and non-increasing due to application of second mean-value theorem or, correspondingly, where for the Xi functions Ξ(z)the functions Ξ(y)y are periodic functions on the imaginary axis y withz=x+iy. This does not touch the results for the Omega function to the Riemann hypothesis by application of the second mean-value theorem of calculus and the majority of other Omega functions in the suppositions, but makes their derivation correct. The corresponding calculations together with a short recapitulation of the main steps to the basic equations for the restrictions of the mean-value functions and the application to piece-wise constant Omega functions (staircase functions) are represented.