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Please use this identifier to cite or link to this item: https://dspace.iiti.ac.in/handle/123456789/15258
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dc.contributor.authorAgarwal, Architen_US
dc.contributor.authorGarg, Meghalien_US
dc.contributor.authorMaji, Bibekanandaen_US
dc.date.accessioned2025-01-15T07:10:21Z-
dc.date.available2025-01-15T07:10:21Z-
dc.date.issued2022-
dc.identifier.citationAgarwal, A., Garg, M., & Maji, B. (2022). Riesz-type criteria for the Riemann hypothesis. Proceedings of the American Mathematical Society. https://doi.org/10.1090/proc/16064en_US
dc.identifier.issn0002-9939-
dc.identifier.otherEID(2-s2.0-85132858843)-
dc.identifier.urihttps://doi.org/10.1090/proc/16064-
dc.identifier.urihttps://dspace.iiti.ac.in/handle/123456789/15258-
dc.description.abstractIn 1916, Riesz proved that the Riemann Hypothesis is equivalent to the bound Formula Presented, for any ∊ > 0. Around the same time, Hardy and Littlewood gave another equivalent criterion for the Riemann Hypothesis while correcting an identity of Ramanujan. In the present paper, we establish a one-variable generalization of the identity of Hardy and Littlewood and as an application, we provide Riesz-type criteria for the Riemann Hypothesis. In particular, we obtain the bound given by Riesz as well as the bound of Hardy and Littlewood. © 2022 American Mathematical Society.en_US
dc.language.isoenen_US
dc.publisherAmerican Mathematical Societyen_US
dc.sourceProceedings of the American Mathematical Societyen_US
dc.subjectMöbious functionen_US
dc.subjectnon-trivial zerosen_US
dc.subjectRiemann Hypothesisen_US
dc.subjectRiemann zeta functionen_US
dc.titleRIESZ-TYPE CRITERIA FOR THE RIEMANN HYPOTHESISen_US
dc.typeJournal Articleen_US
dc.rights.licenseAll Open Access-
dc.rights.licenseBronze Open Access-
Appears in Collections:Department of Mathematics

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