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

Issued Date

2014-01-01

Resource Type

Article

ISSN

15635120
10236198

DOI

10.1080/10236198.2014.917635

Other identifier(s)

2-s2.0-84903616027

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Journal of Difference Equations and Applications. Vol.20, No.9 (2014), 1344-1349

Suggested Citation

Thotsaporn Aek Thanatipanonda Beyond Zudilin's conjectured q-analogue of Schmidt's problem. Journal of Difference Equations and Applications. Vol.20, No.9 (2014), 1344-1349. doi:10.1080/10236198.2014.917635 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/34132

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Title

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

Author(s)

Thotsaporn Aek Thanatipanonda

Other Contributor(s)

Mahidol University

Abstract

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.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/34132

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