تقرير
Totally odd depth-graded multiple zeta values and period polynomials
| العنوان: | Totally odd depth-graded multiple zeta values and period polynomials |
|---|---|
| المؤلفون: | Dietze, Charlotte, Manai, Chokri, Nöbel, Christian, Wagner, Ferdinand |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11M32, 11F67 |
| الوصف: | Inspired by a paper of Tasaka, we study the relations between totally odd, motivic depth-graded multiple zeta values. Our main objective is to determine the rank of the matrix $C_{N,r}$ defined by Brown. We will give new proofs for (conjecturally optimal) upper bounds on the rank of $C_{N,3}$ and $C_{N,4}$, which were first obtained by Tasaka. Finally, we present a recursive approach to the general problem, which reduces evaluating the rank of $C_{N,r}$ to an isomorphism conjecture. Comment: New version, taking recent developments into account, 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1708.07210 |
| رقم الأكسشن: | edsarx.1708.07210 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |