%0 Journal Article
%T A Direct Proof for Riemann Hypothesis Based on Jacobi Functional Equation and Schwarz Reflection Principle
%A Xiang Liu
%A Rybachuk Ekaterina
%A Fasheng Liu
%J Advances in Pure Mathematics
%P 193-200
%@ 2160-0384
%D 2016
%I Scientific Research Publishing
%R 10.4236/apm.2016.64016
%X Using the
properties of theta-series and Schwarz reflection principle, a proof for
Riemann hypothesis (RH) is directly presented and the first ten nontrivial
zeros are easily obtained. From now on RH becomes Riemann Theorem (RT) and all
its equivalent results and the consequences assuming RH are true.
%K Theta-Series
%K Jacobi Functional Equation
%K Schwarz Reflection Principle
%K Riemann Hypothesis (RH)
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=64521