Publication
Title
Proof of a conjecture due to Chu on Gosper-type sums
Author
Abstract
We prove a conjecture due to Chu concerning Gosper-type sums, using an evaluation due to Chudnovsky and Chudnovsky in 1998. This formula discovered by the Chudnovsky brothers was later rediscovered by Borwein and Girgensohn, but no proof of this formula has been given, prior to our article. We introduce a full, self-contained proof of the Chudnovsky-Chudnovsky evaluation, to formulate a full solution to a problem due to Chu on Gosper-type sums involving reciprocals of binomial coefficients of the form (3n+epsilon n) n is an element of N-0 and epsilon is an element of {1, +/- 2}.
Language
English
Source (journal)
aequationes mathematicae
Aequationes mathematicae. - Basel
Publication
Basel : Springer basel ag , 2023
ISSN
1420-8903
DOI
10.1007/S00010-023-00986-7
Volume/pages
(2023) , p. 1-9
Article Reference
s00010-023-00986-7
ISI
001065943500001
Medium
E-only publicatie
Full text (Publisher's DOI)
Full text (open access)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identifier
Creation 02.10.2023
Last edited 25.04.2024
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