Beyond Zudilin's conjectured q-analogue of Schmidt's problem

Beyond Zudilin's conjectured q-analogue of Schmidt's problem

Using the methodology of (rigorous) experimental mathematics, we give a simple and motivated solution to Zudilin's question concerning a q-analogue of a problem posed by Asmus Schmidt about a certain binomial coefficients sum. Our method is based on two simple identities that can be automatical...

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Main Author: Thotsaporn Aek Thanatipanonda
Other Authors: Mahidol University
Format: Article
Published: 2018
Subjects:
Mathematics
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/34132
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spelling th-mahidol.341322018-11-09T09:30:47Z Beyond Zudilin's conjectured q-analogue of Schmidt's problem Thotsaporn Aek Thanatipanonda Mahidol University Mathematics Using the methodology of (rigorous) experimental mathematics, we give a simple and motivated solution to Zudilin's question concerning a q-analogue of a problem posed by Asmus Schmidt about a certain binomial coefficients sum. Our method is based on two simple identities that can be automatically proved using the Zeilberger and q-Zeilberger algorithms. We further illustrate our method by proving two further binomial coefficient sums. © 2014 © 2014 Taylor & Francis. 2018-11-09T02:30:47Z 2018-11-09T02:30:47Z 2014-01-01 Article Journal of Difference Equations and Applications. Vol.20, No.9 (2014), 1344-1349 10.1080/10236198.2014.917635 15635120 10236198 2-s2.0-84903616027 https://repository.li.mahidol.ac.th/handle/123456789/34132 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84903616027&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
Thotsaporn Aek Thanatipanonda
Beyond Zudilin's conjectured q-analogue of Schmidt's problem
description Using the methodology of (rigorous) experimental mathematics, we give a simple and motivated solution to Zudilin's question concerning a q-analogue of a problem posed by Asmus Schmidt about a certain binomial coefficients sum. Our method is based on two simple identities that can be automatically proved using the Zeilberger and q-Zeilberger algorithms. We further illustrate our method by proving two further binomial coefficient sums. © 2014 © 2014 Taylor & Francis.
author2 Mahidol University
author_facet Mahidol University
Thotsaporn Aek Thanatipanonda
format Article
author Thotsaporn Aek Thanatipanonda
author_sort Thotsaporn Aek Thanatipanonda
title Beyond Zudilin's conjectured q-analogue of Schmidt's problem
title_short Beyond Zudilin's conjectured q-analogue of Schmidt's problem
title_full Beyond Zudilin's conjectured q-analogue of Schmidt's problem
title_fullStr Beyond Zudilin's conjectured q-analogue of Schmidt's problem
title_full_unstemmed Beyond Zudilin's conjectured q-analogue of Schmidt's problem
title_sort beyond zudilin's conjectured q-analogue of schmidt's problem
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/34132
_version_ 1763490014235197440

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