“Erdős–Tenenbaum–Ford constant”的意思、由来-开放百科全书

词条

Erdős–Tenenbaum–Ford constant

释义

Multiplication table problem
References
External links

The Erdős–Tenenbaum–Ford constant is a mathematical constant that appears in number theory.^[1] Named after mathematicians Paul Erdős, Gérald Tenenbaum, and Kevin Ford, it is defined as

where is the natural logarithm.

Multiplication table problem

For each positive integer , let be the number of distinct integers in an multiplication table. In 1960,^[2] Erdős studied the asymptotic behavior of and proved that

as .

References

1. ^{{cite article|authors=Florian Luca and Carl Pomerance|title=On the range of Carmichael's universal-exponent function|journal=Acta Arithmetica|volume=162|year=2014|pages=289-308}}
2. ^{{cite article|author=Paul Erdős|title=An asymptotic inequality in the theory of numbers|journal=Vestnik Leningrad. Univ.|volume=15|year=1960|pages=41-49}}

External links

[https://oeis.org/A074738 Decimal digits of the Erdős–Tenenbaum–Ford constant] on the OEIS

2 : Mathematical constants|Number theory

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