Spectra of alternating Hilbert operators

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dc.creatorKurokawa, Nobushige
dc.creatorOchiai, Hiroyuki
dc.date2007-09-17
dc.date2007-09-28
dc.date.accessioned2026-07-07T08:32:30Z
dc.date.available2026-07-07T08:32:30Z
dc.descriptionSpectra of real alternating operators seem to be quite interesting from the view point of explaining the Riemann Hypothesis for various zeta functions. Unfortunately we have not sufficient experiments concerning this theme. Necessary works would be to supply new examples of spectra related to zeros and poles of zeta functions. A century ago Hilbert (1907) considered a kind of operators representing quadratic forms of infinitely many variables. Demonstrating the calculation of spectra for alternating Hilbert operators we hope to present a novel scheme in this paper. Authors expect this study encourages experts for further studies.
dc.description11 pages; corrected typos
dc.identifierhttps://arxiv.org/abs/0709.2675
dc.identifierhttp://arxiv.org/abs/0709.2675
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138812
dc.subjectNumber Theory
dc.subject11M06
dc.titleSpectra of alternating Hilbert operators
dc.typetext

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