Two \(q\)-congruences from Carlitz's formula
type: Item
instance of: scholarly article
title: Two \(q\)-congruences from Carlitz's formula
zbMATH Open document ID: 1499.11006
author: Cheng-Yang Gu
author: Victor J. W. Guo
published in: Periodica Mathematica Hungarica
publication date: 2021-09-22T00:00:00Z
Mathematics Subject Classification ID: 11A07
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 7399078
zbMATH Keywords: congruence
zbMATH Keywords: \(q\)-congruence
zbMATH Keywords: cyclotomic polynomial
zbMATH Keywords: Carlitz's formula
MaRDI profile type: Publication
full work available at URL: s10998-020-00341-2
OpenAlex ID: W3016199648
cites work: Q4049354
cites work: Q4828543
cites work: q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon
cites work: $q$-analogues of two supercongruences of Z.-W. Sun
cites work: Common \(q\)-analogues of some different supercongruences
cites work: Proof of a generalization of the (B.2) supercongruence of Van Hamme through a \(q\)-microscope
cites work: q-Analogues of two Ramanujan-type formulas for 1/π
cites work: Some new \(q\)-congruences for truncated basic hypergeometric series: even powers
cites work: A new family of \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
cites work: Some congruences involving central \(q\)-binomial coefficients
cites work: A \(q\)-microscope for supercongruences
cites work: A generalization of Morley's congruence
cites work: Supercongruences for polynomial analogs of the Apéry numbers
cites work: Binomial coefficients, Catalan numbers and Lucas quotients
cites work: New congruences for central binomial coefficients
cites work: Some \(q\)-analogs of congruences for central binomial sums
DOI: 10.1007/S10998-020-00341-2
description: scientific article; zbMATH DE number 7399078