On complex analysis and Riemann zeta-function
DOI: 10.54647/mathematics11372 110 Downloads 11313 Views
                            Author(s)
                        
                            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
                        
| [ 1 ] | [D]H.Davenport, Multiplicative Number Theory, Second Edition, GTM 74, Revised by H.L. Montgomery, Springer, 1980. | 
| [ 2 ] | [L1] H.-Q.Liu, The counterexample in complex analysis, SCIREA Journal of Mathematics, Volume 4, No.6, 2019, pp.189-193. | 
| [ 3 ] | [L2] H.-Q.Liu, The Barban-Davenport-Halberstam Average Sum(Chinese Monograph, 296 Pages), Harbin Institute of Technology Press, 2008. | 
| [ 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. |