Let Ai,..., Aj be nonzero real numbers. Expand E(z) = Yl(-l + expX3z), rewrite products of exponentials as single exponentials, and replace every exp(az) by its approximation (1 + an~lz)n, where n > J. The resulting polynomial has all zeros on the (possibly infinite) circle of radius \r\ centered at -r, where r = n/YL^j-1. Introduction. Our purpose is to establish Conjecture [1] of [S2]. For positive integers n let Pn be the linear mapping from the exponential polynomials over C to the polynomials over C that replaces exp(az) by