On complex analysis and Riemann zeta-function

Volume 7, Issue 6, December 2022     |     PP. 139-147      |     PDF (1201 K)    |     Pub. Date: December 11, 2022
DOI: 10.54647/mathematics11372    94 Downloads     2774 Views  

Author(s)

H.-Q.Liu, Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Abstract
Counterexamples are given to residue theorem of complex analysis. The functional equation of Riemann zeta-function is invalid.

Keywords
complex analysis, counterexample, zeta-function

Cite this paper
H.-Q.Liu, On complex analysis and Riemann zeta-function , SCIREA Journal of Mathematics. Volume 7, Issue 6, December 2022 | PP. 139-147. 10.54647/mathematics11372

References

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[ 4 ] [L3] H.-Q.Liu, The Estimation of Exponential Sums and Problems of Number Theory (Chinese Monograph, 437 Pages), Harbin Institute of Technology Press, 2015.
[ 5 ] [R] W.Rudin, Real and Complex Analysis, Third Edition, McGRAW-HILL International Editions, 1987.