An Algebraic Approach to Some Results on Interpolated Multiple Zeta Values

An Algebraic Approach to Some Results on Interpolated Multiple Zeta Values | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article An Algebraic Approach to Some Results on Interpolated Multiple Zeta Values NITA TAMANG, BISHAL TAMANG This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2649823/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract A decomposition of interpolated multiple zeta values has been obtained. Further,the Ohno-Zagier type of relation for interpolated multiple zeta values with full height has been deduced from regularized double shuffle relation. Interpolated Multiple zeta values Multiple zeta values Multiple zeta star values Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-2649823","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":180780136,"identity":"8dc8f844-6e96-486a-aaa1-eae45673ba6c","order_by":0,"name":"NITA TAMANG","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA0ElEQVRIiWNgGAWjYDACZihtwN7AhiqCWwtEhYQBzwFitTDAtEgksBHnLnN2/oMfGHPs6swl3x57zMNgJ8/AznsArxbLZmZmCcZtyRKWs/PSjXkYkg0bmPkS8GoxOMzMANTCLGFwO8dMmoeBOYGBmceAkBbmH4zb6iUMbp4BaaknSgsb0JbDEgY3eEBaDhOlxcyCcdtxyQ1ncswN5xgcN2wjqOX8wcc3GLdV8xscP2P24E1FtTw//xn8WkCA+Q/CBAYGImNnFIyCUTAKRgE+AACE5TOHzQBo7QAAAABJRU5ErkJggg==","orcid":"","institution":"North Bengal University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"NITA","middleName":"","lastName":"TAMANG","suffix":""},{"id":180780138,"identity":"8b1e782c-cc26-4575-992a-4e10071fc3cf","order_by":1,"name":"BISHAL TAMANG","email":"","orcid":"","institution":"North Bengal University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"BISHAL","middleName":"","lastName":"TAMANG","suffix":""}],"badges":[],"createdAt":"2023-03-03 05:14:18","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2649823/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2649823/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":33983103,"identity":"7b860b16-ffe7-4a64-adc8-ccf8576bbe3b","added_by":"auto","created_at":"2023-03-08 22:59:30","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":239223,"visible":true,"origin":"","legend":"","description":"","filename":"imzv.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2649823/v1_covered.pdf"},{"id":33935037,"identity":"f52f8d4c-b730-4980-992e-57dda05e2818","added_by":"auto","created_at":"2023-03-08 02:40:41","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":240050,"visible":true,"origin":"","legend":"","description":"","filename":"imzv.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2649823/v1/fb2ab20cf69a239308f4b137.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"An Algebraic Approach to Some Results on Interpolated Multiple Zeta Values","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Interpolated Multiple zeta values, Multiple zeta values, Multiple zeta star values","lastPublishedDoi":"10.21203/rs.3.rs-2649823/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2649823/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"A decomposition of interpolated multiple zeta values has been obtained. 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