Number Theory

    

Sufficiently Large Number N Makes ∑_(k=n)^(2n-1) C/(ak+b) = C/a Lnu20612

Authors: Tai-Choon Yoon, Yina Yoon

According to the Riemann rearrangement theorem, when a sequence converges, the sum can be changed by rearranging the order of the sequence. However, the result cannot be changed simply by rearranging the order of any sequences. In the case of the alternating harmonic series exemplified by Riemann, even if the result was the same by chance, the sum of the series was obtained by ignoring the sum oflim┬( n→∞)u2061∑_(k=n)^(2n-1) 1/(k+1)=lnu20612.

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[v1] 2023-10-24 01:26:55

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