… Fn + 2 − Fn = F n + 1 and Fn + 3 − Fn = 2Fn+ 1 . Together with formula (8), we get that Fxm−
Fxn = Fyn + 1 is divisible by exactly the same primes as Fm− Fn . By Carmichael’s Primitive …

" Integers" is a refereed online journal devoted to research in the area of combinatorial number
theory. It publishes original research articles in combinatorics and number theory. Topics …

… more closely the σ function and the η function that are involved … 1 having the same zeros
and poles including orders as /. To see this, we use the transformation formula of the a function …

… One of our key innovations is splitting the linearized equation and using corresponding di…
Relating Fourier coefficients of a function and its directional derivatives is the only place where …

… Operator theory appears first in Chapter 4 when we introduce, as in (1) above, the Koopman
operator T on the Banach space C.K/ induced by a topological dynamical system .KI '/. …

… a stimulating, conducive and fun environment in which to learn … 2.9 is a linear Diophantine
equation having infintely many … than 1 fxm. The sample was prepared by further diluting (10:…

… the specified non-conventional LQ cost function. Second adaptive control scheme involves
… unknown transfer function S. In the next part identified parameters of the transfer function S, …

… value of its L-function at s = 1. Our main goal will … Diophantine equations of the form Σx;
where the primes dividing Пx; belong to a fixed finite set. Several three and four term equations …