Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 오세진 | * |
dc.date.accessioned | 2022-03-31T16:31:14Z | - |
dc.date.available | 2022-03-31T16:31:14Z | - |
dc.date.issued | 2022 | * |
dc.identifier.issn | 0001-8708 | * |
dc.identifier.other | OAK-31289 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/261024 | - |
dc.description.abstract | The Sato–Tate distributions for genus 2 curves (conjecturally) describe the statistics of numbers of rational points on the curves. In this paper, we explicitly compute the auto-correlation functions of Sato–Tate distributions for genus 2 curves as sums of irreducible characters of symplectic groups. Our computations bring about families of identities involving irreducible characters of symplectic groups Sp(2m) for all m∈Z≥1, which have interest in their own rights. © 2022 Elsevier Inc. | * |
dc.language | English | * |
dc.publisher | Academic Press Inc. | * |
dc.subject | Auto-correlation functions | * |
dc.subject | Crystal basis | * |
dc.subject | Sato-Tate conjecture | * |
dc.subject | Symplectic groups | * |
dc.title | Auto-correlation functions of Sato–Tate distributions and identities of symplectic characters | * |
dc.type | Article | * |
dc.relation.volume | 401 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.journaltitle | Advances in Mathematics | * |
dc.identifier.doi | 10.1016/j.aim.2022.108309 | * |
dc.identifier.wosid | WOS:000793102900007 | * |
dc.identifier.scopusid | 2-s2.0-85126270185 | * |
dc.author.google | Lee K.-H. | * |
dc.author.google | Oh S.-J. | * |
dc.contributor.scopusid | 오세진(55636183200) | * |
dc.date.modifydate | 20240222164805 | * |