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
Descripción
Sumario: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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