A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial

We establish a new family of q -supercongruences modulo the fourth power of a cyclotomic polynomial, and give several related results. Our main ingredients are q -microscoping and the Chinese remainder theorem for polynomials.

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Bibliographic Details
Published in:Resultate der Mathematik Vol. 75; no. 4; p. 155
Main Authors: Guo, Victor J. W., Schlosser, Michael J.
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.12.2020
Subjects:
Mathematics
Mathematics and Statistics
Primary 33D15
supercongruences
cyclotomic polynomial
11B65
Basic hypergeometric series
congruences
Secondary 11A07
microscoping
Chinese remainder theorem for polynomials
q-congruences
q-microscoping
ISSN:1422-6383, 1420-9012, 1420-9012
Online Access:Get full text
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Description
Summary:We establish a new family of q -supercongruences modulo the fourth power of a cyclotomic polynomial, and give several related results. Our main ingredients are q -microscoping and the Chinese remainder theorem for polynomials.
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content type line 23
ISSN:1422-6383
1420-9012
1420-9012
DOI:10.1007/s00025-020-01272-7