Mathematics

Investigators at University of Parma Describe Research in General Mathematics

  2012 APR 24 - (VerticalNews.com) -- "Let A be the von Mangoldt function and R(n)=Sigma(h+k=n)Lambda(h)Lambda(k) be the counting function for the Goldbach numbers," investigators in Parma, Italy report.

  "Let N>= 2 and assume that the Riemann Hypothesis holds. We prove that [GRAPHICS] where rho =1/2+i gamma runs over the non-trivial zeros of the Riemann zeta-function zeta(s)," wrote A. Languasco and colleagues, University of Parma.

  The researchers concluded: "This improves a recent result by Bhowmik and Schlage-Puchta."

  Languasco and colleagues published their study in Proceedings of the American Mathematical Society (The Number Of Goldbach Representations Of An Integer. Proceedings of the American Mathematical Society, 2012;140(3):795-804).

  For additional information, contact A. Languasco, University of Parma, Dipartimento Matemat, I-43124 Parma, Italy.

  The publisher of the journal Proceedings of the American Mathematical Society can be contacted at: Amer Mathematical Soc, 201 Charles St, Providence, RI 02940-2213, USA.

  Keywords: City:Parma, Country:Italy, Region:Europe, General Mathematics

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2012, VerticalNews Mathematics via VerticalNews.com.