Combinatorics

Discrete mathematics

Physics

Chinese remainder theorem

Pure mathematics

Mathematics

Modulo

Mathematical analysis

Power (physics)

Remainder

Quantum mechanics

Cyclotomic polynomial

Polynomial

Arithmetic

Results in Mathematics

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.

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