JP Journal of Algebra, Number Theory and Applications
Volume 16, Issue 2, Pages 143 - 152
(March 2010)
|
|
COMMON ZEROS OF EXPONENTIAL POLYNOMIALS AND SHAPIRO CONJECTURE
H. Abbas and A. Hajj-Diab
|
Abstract: 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. |
Keywords and phrases: Shapiro conjecture, exponential polynomial. |
|
Number of Downloads: 417 | Number of Views: 1151 |
|