COMMON ZEROS OF EXPONENTIAL POLYNOMIALS AND SHAPIRO CONJECTURE
Shapiro conjectured that if two exponential polynomials have infinitely many zeros in common, they have a nontrivial common factor. In this paper, we prove a result that conducts to prove the conjecture in many particular cases, where the coefficients of the polynomials are algebraic and the frequencies are linear combination with rational coefficients of two algebraic numbers.
Shapiro conjecture, exponential polynomial.
