Abel's summation formula, introduced by the Norwegian mathematician Niels Henrik Abel, is a technique for computing series that is used heavily in analytic number theory and in the study of special functions. It relates a sum involving a sequence of terms to an integral involving the sequence's partial sums, letting a discrete sum be analyzed with the tools of continuous calculus. The same name is also sometimes applied to two related but distinct ideas, summation by parts and the Abel-Plana formula. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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1. Abel's Summation Formula (Wikipedia)
In Branch: Analytic Number Theory, Lead sentence
uced by Niels Henrik Abel, is intensively used in analytic number theory and the study of special functions to compute series.
Attributed To: Niels Henrik Abel, Lead paragraph
introduced by Niels Henrik Abel
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