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It is tempting to compute such a two-element form with a ∈ Z in any case, using Algorithm 6.13, if a does not have many small prime ideal divisors (using Algorithm 6.15 for y >
Horadam, Generating functions for powers of a certain generalised sequence of numbers, Duke Math.. Pita, More on Fibonomials, Proceedings of the XIV Conference on
The third author received support from the National Science Foundation, Grant #DMS- 0353488.... Bounds on ∆( M a,b ) are given when gcd( a, b ) has two or more distinct
We study a generalization of the Frobenius problem : given k positive relatively prime integers, what is the largest integer g 0 that cannot be represented as a nonnega- tive
Certain fixed point theorems are established for nonlinear semigroups of Lipschitzian mappings defined on nonconvex domains in Hilbert and Banach spaces1. Some known results are
The Krasnosel’skii fixed point theorem stated in that section 2 will be applied in section 3 to yield positive solutions for certain intervals of eigenvalues..
For example, once we find some a priori upper and lower estimates for positive solutions of a certain boundary value problem, we can use them together with the Krasnosell’skii
Observe that this class of rings contains two subclasses: the pm − rings that are rings where each prime ideal is contained in only one maximal ideal and the m − rings that next