An orthogonal projection related to the Riemann zeta-function

作者：Li Xian Jin^*

来源：Journal of Mathematical Analysis and Applications, 2017, 446(2): 1310-1327.

DOI：10.1016/j.jmaa.2016.09.041

• Bounded linear functional
• Location of zeta zeros
• Orthogonal projection

In this paper, a global orthogonal projection is found for which an explicit formula is given. Under the assumption of a density result, this projection denies the existence of zeros of the Riemann zeta-function on the right side of the critical line, but not zeros on the left side.

• 出版日期2017-2-15