A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial
Victor J. W. Guo, Michael J. Schlosser
Abstract
Abstract 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.
Topics & Concepts
MathematicsModuloChinese remainder theoremCyclotomic polynomialPolynomialRemainderPower (physics)Discrete mathematicsPure mathematicsArithmeticCombinatoricsMathematical analysisPhysicsQuantum mechanicsAdvanced Mathematical IdentitiesAnalytic Number Theory ResearchAdvanced Combinatorial Mathematics