A summary of Euler's work on the pentagonal number theorem

DOI10.1007/s00407-010-0057-yzbMath1208.01013OpenAlexW1992170919MaRDI QIDQ1956486

Jordan Bell

Publication date: 22 September 2010

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-010-0057-y

zbMATH Keywords

number theoryEulerpentagonal numbers

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of number theory (11-03) History of sequences, series, summability (40-03)

Related Items (7)

Some new formulas for the products of the Apostol type polynomials ⋮ On a generalization of the Pentagonal Number Theorem ⋮ Euler's enumerations ⋮ Euler's pentagonal number theorem and the Rogers-Fine identity ⋮ Summation formulas for the products of the Frobenius-Euler polynomials ⋮ Estimates for the norms of products of sines and cosines ⋮ Some new results on products of Apostol-Bernoulli and Apostol-Euler polynomials

Cites Work

• On Euler's attempt to compute logarithms by interpolation: a commentary to his letter of February 16, 1734 to Daniel Bernoulli
• The rise and development of the theory of series up to the early 1820s
• The mathematical studies of G. W. Leibniz on combinatorics
• Leonhard Euler: The first St. Petersburg years (1727--1741)
• Leonhard Euler and a 𝑞-analogue of the logarithm
• Euler's Pentagonal Number Theorem
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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