Let ø denote Euler's phi function. For a fixed odd prime q we investigate the first and second order terms of the asymptotic series expansion for the number of n ⩽ x such that q ∤ ø(n). Part of the ...
The decimal digits of the mathematical constant pi, 3.14159265. . ., ring out an intricate melody that sounds vaguely medieval. Those of the constant e, 2.718281828. . ., progress at a relentless, ...
These tables give the complete factorization of $x^n - 1$ over $\mathrm{GF}(q), q = p^a, 2 \leqslant n \leqslant d$ as below, together with the Euler $\Phi$-function ...
Mathematical modelling and optimisation in packing problems constitute a critical research area that combines advanced algorithms, rigorous analytical formulations, and practical applications. This ...
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