Relations between elliptic multiple zeta values and a special derivation algebra
We investigate relations between elliptic multiple zeta values (eMZVs) and describe a method to derive the number of indecomposable elements of given weight and length. Our method is based on representing eMZVs as iterated integrals over Eisenstein series and exploiting the connection with a special...
| Hlavní autoři: | , , |
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| Médium: | Journal article |
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IOP Publishing
2016
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| _version_ | 1826277937752571904 |
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| author | Broedel, J Matthes, N Schlotterer, O |
| author_facet | Broedel, J Matthes, N Schlotterer, O |
| author_sort | Broedel, J |
| collection | OXFORD |
| description | We investigate relations between elliptic multiple zeta values (eMZVs) and describe a method to derive the number of indecomposable elements of given weight and length. Our method is based on representing eMZVs as iterated integrals over Eisenstein series and exploiting the connection with a special derivation algebra. Its commutator relations give rise to constraints on the iterated integrals over Eisenstein series relevant for eMZVs and thereby allow to count the indecomposable representatives. Conversely, the above connection suggests apparently new relations in the derivation algebra. Under https://tools.aei.mpg.de/emzv we provide relations for eMZVs over a wide range of weights and lengths. |
| first_indexed | 2024-03-06T23:36:25Z |
| format | Journal article |
| id | oxford-uuid:6dd314d3-bcaa-4edc-a8e9-ddfce12e664d |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:36:25Z |
| publishDate | 2016 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:6dd314d3-bcaa-4edc-a8e9-ddfce12e664d2022-03-26T19:20:17ZRelations between elliptic multiple zeta values and a special derivation algebraJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6dd314d3-bcaa-4edc-a8e9-ddfce12e664dSymplectic Elements at OxfordIOP Publishing2016Broedel, JMatthes, NSchlotterer, OWe investigate relations between elliptic multiple zeta values (eMZVs) and describe a method to derive the number of indecomposable elements of given weight and length. Our method is based on representing eMZVs as iterated integrals over Eisenstein series and exploiting the connection with a special derivation algebra. Its commutator relations give rise to constraints on the iterated integrals over Eisenstein series relevant for eMZVs and thereby allow to count the indecomposable representatives. Conversely, the above connection suggests apparently new relations in the derivation algebra. Under https://tools.aei.mpg.de/emzv we provide relations for eMZVs over a wide range of weights and lengths. |
| spellingShingle | Broedel, J Matthes, N Schlotterer, O Relations between elliptic multiple zeta values and a special derivation algebra |
| title | Relations between elliptic multiple zeta values and a special derivation algebra |
| title_full | Relations between elliptic multiple zeta values and a special derivation algebra |
| title_fullStr | Relations between elliptic multiple zeta values and a special derivation algebra |
| title_full_unstemmed | Relations between elliptic multiple zeta values and a special derivation algebra |
| title_short | Relations between elliptic multiple zeta values and a special derivation algebra |
| title_sort | relations between elliptic multiple zeta values and a special derivation algebra |
| work_keys_str_mv | AT broedelj relationsbetweenellipticmultiplezetavaluesandaspecialderivationalgebra AT matthesn relationsbetweenellipticmultiplezetavaluesandaspecialderivationalgebra AT schlotterero relationsbetweenellipticmultiplezetavaluesandaspecialderivationalgebra |