Support Bases of Solutions of a Functional Equation Arising From Multiplication of Quantum Integers and the Twin Primes Conjecture

On the support base of a functional equation arising from multiplication of quantum integers

“…If P satisfies criterion (2) where r is the odd prime mention in the statement of criterion (3). By applying the same argument as in the case where P satisfies criterion (2) of Theorem 2.1, the result follows.…”

“…We consider the case where the fields of coefficients of Γ are of characteristic zero. It can be seen from [1][2][3][4] that quantum integers serve as an important source of generators for the solutions Γ above. From [4], it is known that there is no sequence of polynomials, satisfying Functional Equation (2) with support base P containing all primes, which cannot be generated by quantum integers.…”