Which Partial Sums of the Taylor Series for $e$ are Convergents to $e$? (and a Link to the Primes 2, 5, 13, 37, 463), II

zbMath1227.11031arXiv0709.0671MaRDI QIDQ3062315

Jonathan Sondow, Kyle Schalm

Publication date: 3 January 2011

Full work available at URL: https://arxiv.org/abs/0709.0671

zbMATH Keywords

Taylor seriespartial sumconvergentsimple continued fraction for e

Mathematics Subject Classification ID

Continued fractions (11A55) Evaluation of number-theoretic constants (11Y60) Primes (11A41) Calculation of integer sequences (11Y55)

Related Items (4)

Sondow's conjecture, convergents to \(e\), and \(p\)-adic analytic functions ⋮ Factorial-type recurrence relations and $p$-adic incomplete gamma functions ⋮ Diophantine approximation of the exponential function and Sondow's conjecture ⋮ Irrationality and transcendence of alternating series via continued fractions

Uses Software

• SageMath

This page was built for publication: Which Partial Sums of the Taylor Series for $e$ are Convergents to $e$? (and a Link to the Primes 2, 5, 13, 37, 463), II