Rocky Mountain Journal of Mathematics

Note on the truncated generalizations of Gauss's square exponent theorem

Shane Chern

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Abstract

In this note, we investigate Liu's work on the truncated Gaussian square exponent theorem and obtain more truncations. We also discuss some possible multiple summation extensions of Liu's results.

Article information

Source
Rocky Mountain J. Math., Volume 48, Number 7 (2018), 2211-2222.

Dates
First available in Project Euclid: 14 December 2018

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1544756808

Digital Object Identifier
doi:10.1216/RMJ-2018-48-7-2211

Mathematical Reviews number (MathSciNet)
MR3892131

Zentralblatt MATH identifier
06999261

Subjects
Primary: 11B65: Binomial coefficients; factorials; $q$-identities [See also 05A10, 05A30] 33D15: Basic hypergeometric functions in one variable, $_r\phi_s$

Keywords
Gauss's square exponent theorem truncated identities multiple summations $q$-binomial coefficients

Citation

Chern, Shane. Note on the truncated generalizations of Gauss's square exponent theorem. Rocky Mountain J. Math. 48 (2018), no. 7, 2211--2222. doi:10.1216/RMJ-2018-48-7-2211. https://projecteuclid.org/euclid.rmjm/1544756808


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