Sandwiching the Riemann hypothesis
| Autor: | McPhedran, R. C. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We consider a system of three analytic functions, two of which are known to have all their zeros on the critical line $\Re (s)=\sigma=1/2$. We construct inequalities which constrain the third function, $\xi(s)$, on $\Im(s)=0$ to lie between the other two functions, in a sandwich structure. We investigate what can be said about the location of zeros and radius of convergence of expansions of $\xi(s)$, with promising results. Comment: 22 pages, 12 figures, 1 table |
| Databáze: | arXiv |
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