A partition of x > 0 of the form x = P i 2 i3i with distinct parts is called a double-base expansion of x. Such a representation can be obtained using a greedy approach, assuming one can efficiently compute the largest {2, 3}-integer, i.e., a number of the form 23, less than or equal to x. In order to solve this problem, we propose an algorithm based on continued fractions in the vein of the Os...

1. The inertia of a square matrix A with complex elements is defined to be the integer triple In A = (ir(A), V(A), 8(4)), where ir(A) {v(A)} equals the number of eigenvalues in the open right {left} half plane, and 8(A) equals the number of eigenvalues on the imaginary axis. The best known classical inertia theorem is that of Sylvester : If P > 0 (positive definite) and H is Hermitian, then In ...

Introduction This paper tries to shed some light on the very classical topic of overconvergence for Dirichlet series, by employing results in the theory of innite order dier-ential operators with constant coecients ([3], [13]). The possibility of linking innite order dierential operators with gap theorems and related subjects such as overconvergence phenomena was rst suggested by Ehrenpreis in ...