Given 3n algebraic integers αi,ν, i = 1, …, n, ν = 0, 1, 2, and an integer ideal q in an algebraic number field K, we obtain several new bounds on the number of solutions to the congruence with a quadratic exponential polynomial (Formula presented). We then apply these bounds to studying arithmetic properties of values of linear recurrence sequences on squares.
Arithmetic properties of quadratic exponential polynomials
Zannier U.
2019
Abstract
Given 3n algebraic integers αi,ν, i = 1, …, n, ν = 0, 1, 2, and an integer ideal q in an algebraic number field K, we obtain several new bounds on the number of solutions to the congruence with a quadratic exponential polynomial (Formula presented). We then apply these bounds to studying arithmetic properties of values of linear recurrence sequences on squares.File in questo prodotto:
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