“.... $$ In the case of Chebyshev polynomials of the first and second kinds an explicit and closed formula for $\mathcal S_{n,j}$ is obtained, revealing interesting connections with the number theory. Besides, several results of numerical computations exemplifying the behavior of $\mathcal S_{n,j}$ for other families are also presented....”
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“...Abstract: Multiplicative theory of ideals, more generally multiplication modules study, is linked to several algebra areas, as number theory and algebraic geometry. Multiplication modules are a nexus between other important families of modules like are the Noetherian and the Hopfian. ...”
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“...The equation x2 − dy2 = 1 is called Pell’s equation and it arises in different problems in number theory. This simple equation has a long and amazingly rich history, ranging from ancient Greece to the present day. ...”
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