Zagier-Hoffman's conjectures in positive characteristic
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913382665289728 |
|---|---|
| author | Im, Bo-Hae Kim, Hojin Le, Khac Nhuan Dac, Tuan Ngo Pham, Lan Huong |
| author_facet | Im, Bo-Hae Kim, Hojin Le, Khac Nhuan Dac, Tuan Ngo Pham, Lan Huong |
| contents | Multiples zeta values and alternating multiple zeta values in positive characteristic were introduced by Thakur and Harada as analogues of classical multiple zeta values of Euler and Euler sums. In this paper we determine all linear relations among alternating multiple zeta values and settle the main goals of these theories. As a consequence we completely establish Zagier-Hoffman's conjectures in positive characteristic formulated by Todd and Thakur which predict the dimension and an explicit basis of the span of multiple zeta values of Thakur of fixed weight. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_07165 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Zagier-Hoffman's conjectures in positive characteristic Im, Bo-Hae Kim, Hojin Le, Khac Nhuan Dac, Tuan Ngo Pham, Lan Huong Number Theory Primary 11M32, Secondary 11G09, 11J93, 11M38, 11R58 Multiples zeta values and alternating multiple zeta values in positive characteristic were introduced by Thakur and Harada as analogues of classical multiple zeta values of Euler and Euler sums. In this paper we determine all linear relations among alternating multiple zeta values and settle the main goals of these theories. As a consequence we completely establish Zagier-Hoffman's conjectures in positive characteristic formulated by Todd and Thakur which predict the dimension and an explicit basis of the span of multiple zeta values of Thakur of fixed weight. |
| title | Zagier-Hoffman's conjectures in positive characteristic |
| topic | Number Theory Primary 11M32, Secondary 11G09, 11J93, 11M38, 11R58 |
| url | https://arxiv.org/abs/2205.07165 |