2007/05/21 by Anthony Csizmazia, Csizmazia, Anthony
Computer Science · Mathematics · Physics and Astronomy · #11M06 #11M26 #11Mxx #30xx #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #FOS: Mathematics #General Mathematics (math.GM) #Matrix Theory and Algorithms #math.GM #msc:11M06 #msc:11M26 #msc:11Mxx #msc:30xx
paper · pdf · doi:10.48550/arxiv.0705.2995
23 pages
arxiv created 2007/05/21 · openalex publication_date 2007/05/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An odd meromorphic function f(s) is constructed from the Riemann zeta-function evaluated at one-half plus s. The partial fraction expansion, p(s), of f(s) is obtained using the conjunction of the Riemann hypothesis and hypotheses advanced by the author. That compound hypothesis and the expansion p(s) are employed in Part IV to derive the two-sided Laplace transform representation of f(s) on the open vertical strip of all s with real part between zero and four.