On the existence of exponential polynomials with prefixed gaps

This paper shows that the conjecture of Lapidus and Van Frankenhuysen on the set of dimensions of fractality associated with a nonlattice fractal string is true in the important special case of a generic nonlattice self-similar string, but in general is false. The proof and the counterexample of this have been given by virtue of a result on exponential polynomials P(z), with real frequencies linearly independent over the rationals, that establishes a bound for the number of gaps of RP, the closure of the set of the real projections of its zeros, and the reason for which these gaps are produced.

The University of Alicante Library copy of Palmerin d'Oliva (London, 1637): A Bibliographical Description

The purpose of this article is to provide bibliographical information about a copy of the fourth edition of the two parts of Anthony Munday's translation of Palmerin d'Oliva (London, 1637; STC 19160) recently purchased by the University of Alicante Library and not mentioned in the standard bibliographies. The article contains a detailed bibliographical description based on Bowers's principles (1949) and is designed to be useful to scholars by making direct consultation of the copy in most cases unnecessary. The description is preceded by a short introduction to the literary text and its publication in England.