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SUMMARY:Rusen Li (Shandong University)
DTSTART:20210419T111500Z
DTEND:20210419T121500Z
DTSTAMP:20260423T022930Z
UID:WarsawNT/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarsawNT/28/
 ">Summation formulas of q-hyperharmonic numbers</a>\nby Rusen Li (Shandong
  University) as part of Warsaw Number Theory Seminar\n\nLecture held in cu
 rrently online.\n\nAbstract\nIn 1990\, Spieß gave some identities includi
 ng the types of $\\sum_{\\ell=1}^n\\ell^k H_\\ell$\, $\\sum_{\\ell=1}^n\\e
 ll^k H_{n-\\ell}$ and $\\sum_{\\ell=1}^n\\ell^k H_\\ell H_{n-\\ell}$. In t
 his talk\, based upon a certain type of $q$-harmonic numbers $H_n^{(r)}(q)
 $\, several formulas of $q$-hyperharmonic numbers are derived as $q$-gener
 alizations. The main tools used in the talk are Abel’s identity and a q-
 version of the relation by Spieß.\nThis is based on a joint work with Tak
 ao Komatsu.\n
LOCATION:https://researchseminars.org/talk/WarsawNT/28/
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