تقرير
Zagier-Hoffman's conjectures in positive characteristic
| العنوان: | Zagier-Hoffman's conjectures in positive characteristic |
|---|---|
| المؤلفون: | Im, Bo-Hae, Kim, Hojin, Le, Khac Nhuan, Dac, Tuan Ngo, Pham, Lan Huong |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Primary 11M32, Secondary 11G09, 11J93, 11M38, 11R58 |
| الوصف: | 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. Comment: 60 pages (the details of proofs have been added) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2205.07165 |
| رقم الأكسشن: | edsarx.2205.07165 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |