Người báo cáo: Ngô Quốc Hoàn (Đại học Hải Phòng)
Thời gian: 9h, Thứ tư 7/6/2017. Địa điểm: P6, Nhà A14, Viện Toán học, 18 Hoàng Quốc Việt, Hà Nội Tóm tắt: This is a joint work with Gérard H. E. Duchamp (Paris XIII Univ.) and Hoang Ngoc Minh (Lille II Univ.). Extending Eulerian polynomials and Faulhaber's formula, we study several combinatorial aspects of multi-indexed harmonic sums and polylogarithms at nonpositive multi-indices as well as their structure. Our techniques are based on the combinatorics of noncommutative generating series in the shuffle Hopf algebras giving a global process to renormalize the divergent polyzetas at non-positive multi-indices. |