From Madhava–Leibniz to Lehmer’s Limit
From MaRDI portal
Publication:5082413
DOI10.1080/00029890.2022.2051405zbMath1503.40003OpenAlexW4226220011WikidataQ114101900 ScholiaQ114101900MaRDI QIDQ5082413
Publication date: 16 June 2022
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00029890.2022.2051405
Binomial coefficients; factorials; (q)-identities (11B65) Convergence and divergence of series and sequences of functions (40A30) Approximation to limiting values (summation of series, etc.) (40A25)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The harmonic product of sequences
- Ordered partitions and drawings of rooted plane trees
- Summation of divergent power series by means of factorial series
- Twelve countings with rooted plane trees
- The \(r\)-Stirling numbers
- Massive Feynman diagrams and inverse binomial sums
- Klazar trees and perfect matchings
- A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
- Recurrence equation and integral representation of Apéry sums
- Inverse binomial series and values of Arakawa-Kaneko zeta functions
- Convergence speeding, convergence and summability
- The \(p\)-adic Arakawa-Kaneko zeta functions and \(p\)-adic Lerch transcendent
- From generating series to polynomial congruences
- Evaluations of binomial series
- Central Binomial Sums, Multiple Clausen Values, and Zeta Values
- Discovering and Proving Infinite Binomial Sums Identities
- The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha
- Interlacing Polynomials
- Interesting Series Involving the Central Binomial Coefficient
- Derrick Henry Lehmer
- Practical Extrapolation Methods
- Polylogarithmic zeta functions and their p-adic analogues
- Expansion around half-integer values, binomial sums, and inverse binomial sums
- Lehmer’s Interesting Series
- Discovering and Proving Infinite Pochhammer Sum Identities
- Generalized Stirling transform
- A Generalized Apery Series
- Single-scale diagrams and multiple binomial sums
- New results for the \(\varepsilon{}\)-expansion of certain one-, two- and three-loop Feynman diagrams
This page was built for publication: From Madhava–Leibniz to Lehmer’s Limit