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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Vydáno v:Resultate der Mathematik Ročník 75; číslo 4; s. 155
Hlavní autoři: Guo, Victor J. W., Schlosser, Michael J.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.12.2020
Témata:
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
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1422-6383
1420-9012
1420-9012
DOI:10.1007/s00025-020-01272-7