Xiaohui Li(SouthWest University of Science and Technology)
Abstract
Find the trigonometric function sin(n/2)π that satisfies the Dirichlet feature, then analyze the real parts of non trivial zeros of the L-function, some are 1/2, some are not 1/2, and identify the reasons for this situation.We conclude that the Riemann hypothesis is correct, then, we use the Euler Beta function remainder formula to verify whether it is correct when the real part of the non trivial zero point s is 1/2.
Keywords
Exceptional zero, Dirichlet feature, Euler Beta function remainder formula
Citation
Xiaohui Li(2023). The Trigonometric Function Sin(n/2)π that Satisfies the Dirichlet Feature. SQPreprints, Volume 1, Issue 1, Page 37-41, Publish Date: 2023-09-12
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