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.

Detalles Bibliográficos
Autores principales: Guo, Victor J. W., Schlosser, Michael J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7688099/
https://www.ncbi.nlm.nih.gov/pubmed/33269012
http://dx.doi.org/10.1007/s00025-020-01272-7
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author Guo, Victor J. W.
Schlosser, Michael J.
author_facet Guo, Victor J. W.
Schlosser, Michael J.
author_sort Guo, Victor J. W.
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description 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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spelling pubmed-76880992020-11-30 A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial Guo, Victor J. W. Schlosser, Michael J. Results Math Article 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. Springer International Publishing 2020-09-29 2020 /pmc/articles/PMC7688099/ /pubmed/33269012 http://dx.doi.org/10.1007/s00025-020-01272-7 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Guo, Victor J. W.
Schlosser, Michael J.
A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial
title A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial
title_full A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial
title_fullStr A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial
title_full_unstemmed A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial
title_short A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial
title_sort new family of q-supercongruences modulo the fourth power of a cyclotomic polynomial
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7688099/
https://www.ncbi.nlm.nih.gov/pubmed/33269012
http://dx.doi.org/10.1007/s00025-020-01272-7
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