Yet Another Riemann Hypothesis

This short note presents a peculiar generalization of the Riemann hypothesis, as the action of the permutation group on the elements of continued fractions. The problem is difficult to attack through traditional analytic techniques, and thus this note focuses on providing a numerical survey. These r...

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Bibliographic Details
Published inarXiv.org
Main Author Vepstas, Linas
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 01.01.2011
Subjects
Hypotheses
Permutations
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Summary:This short note presents a peculiar generalization of the Riemann hypothesis, as the action of the permutation group on the elements of continued fractions. The problem is difficult to attack through traditional analytic techniques, and thus this note focuses on providing a numerical survey. These results indicate a broad class of previously unexamined functions may obey the Riemann hypothesis in general, and even share the non-trivial zeros in particular.
ISSN:2331-8422