Papers

Topics

Authors

Recent

View all

Assistant

AI Research Assistant

Well-researched responses based on relevant abstracts and paper content.

Custom Instructions Pro

Preferences or requirements that you'd like Emergent Mind to consider when generating responses.

Gemini 2.5 Flash

Gemini 2.5 Flash 62 tok/s

Gemini 2.5 Pro 51 tok/s Pro

GPT-5 Medium 36 tok/s Pro

GPT-5 High 30 tok/s Pro

GPT-4o 67 tok/s Pro

Kimi K2 192 tok/s Pro

GPT OSS 120B 430 tok/s Pro

Claude Sonnet 4.5 34 tok/s Pro

2000 character limit reached

Summation formulas of $q$-hyperharmonic numbers (2102.12688v2)

Published 25 Feb 2021 in math.NT

Abstract: In this paper, several weighted summation formulas of $q$-hyperharmonic numbers are derived. As special cases, several formulas of hyperharmonic numbers of type $\sum_{\ell=1}^{n} {\ell}^{p} H_{\ell}^{(r)}$ and $\sum_{\ell=0}^{n} {\ell}^{p} H_{n-\ell}^{(r)}$ are obtained.