Summation formulas of q-hyperharmonic numbers

Rusen Li (Shandong University)

19-Apr-2021, 11:15-12:15 (3 years ago)

Abstract: In 1990, Spieß gave some identities including the types of $\sum_{\ell=1}^n\ell^k H_\ell$, $\sum_{\ell=1}^n\ell^k H_{n-\ell}$ and $\sum_{\ell=1}^n\ell^k H_\ell H_{n-\ell}$. In this talk, based upon a certain type of $q$-harmonic numbers $H_n^{(r)}(q)$, several formulas of $q$-hyperharmonic numbers are derived as $q$-generalizations. The main tools used in the talk are Abel’s identity and a q-version of the relation by Spieß. This is based on a joint work with Takao Komatsu.

number theory

Audience: researchers in the topic


Warsaw Number Theory Seminar

Organizers: Jakub Byszewski*, Bartosz Naskręcki, Bidisha Roy, Masha Vlasenko*
*contact for this listing

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