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 ...
On étend la technique qui a permis à A. Walfisz d'établir (en 1962) l'estimation H(x) ≪ (logx)⅔(log log x)4/3 pour le terme d'erreur lié à la fonction d ...
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The Euler Identity and The Taylor Series
Explore the profound connection between Euler's Identity and the Taylor series, two foundational concepts in mathematics. This overview explains how the expansion of exponential functions using the ...
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