# Victor J. W. Guo

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- Publications
- Influence

Top 100 relevant results, sorted by most influential

A q-microscope for supercongruences

- Victor J. W. Guo, W. Zudilin
- Mathematics
- 5 March 2018

Abstract By examining asymptotic behavior of certain infinite basic (q-) hypergeometric sums at roots of unity (that is, at a ‘q-microscopic’ level) we prove polynomial congruences for their… Expand

The Eulerian distribution on involutions is indeed unimodal

- Victor J. W. Guo, Jiang Zeng
- Computer Science, Mathematics
- J. Comb. Theory, Ser. A
- 10 April 2005

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Factors of alternating sums of products of binomial and q-binomial coefficients

- Victor J. W. Guo, Frédéric Jouhet, Jiang Zeng
- Mathematics
- 25 November 2005

In this paper we study the factors of some alternating sums of products of binomial and q-binomial coefficients. We prove that for all positive integers n_1,...,n_m, n_{m+1}=n_1, and 0\leq j\leq m-1,… Expand

Two truncated identities of Gauss

- Victor J. W. Guo, Jiang Zeng
- Mathematics, Computer Science
- J. Comb. Theory, Ser. A
- 19 May 2012

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A generalization of the Ramanujan polynomials and plane trees

- Victor J. W. Guo, Jiang Zeng
- Mathematics, Computer Science
- Adv. Appl. Math.
- 12 December 2005

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q-Analogues of two Ramanujan-type formulas for 1/π

- Victor J. W. Guo, J. Liu
- Mathematics
- 6 February 2018

ABSTRACT We give q-analogues of the following two Ramanujan-type formulas for : Our proof is based on two q-WZ pairs found by the first author in his earlier work.

A q -analogue of a Ramanujan-type supercongruence involving central binomial coefficients

- Victor J. W. Guo
- Mathematics
- 1 February 2018

Abstract Motivated by Zudilin's work, we give a q-analogue of a Ramanujan-type supercongruence of van Hamme and Mortenson via the q-WZ method. Meanwhile, we give a q-analogue of a related congruence… Expand

Some congruences related to a congruence of Van Hamme

- Victor J. W. Guo, J. Liu
- Mathematics
- 9 March 2019

ABSTRACT We establish some supercongruences related to a supercongruence of Van Hamme, such as where p is an odd prime and is the th Euler number. Our proof uses some congruences of Z.-W. Sun, the… Expand

Some arithmetic properties of the q-Euler numbers and q-Salié numbers

- Victor J. W. Guo, Jiang Zeng
- Mathematics, Computer Science
- Eur. J. Comb.
- 28 April 2005

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Bijections behind the Ramanujan Polynomials

- W. Chen, Victor J. W. Guo
- Mathematics, Computer Science
- Adv. Appl. Math.
- 4 July 2001

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