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Computing the Landau-Ramanujan Constant
Author

Wolfram Research, Inc.
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Description

Let λ(x) denote the number of positive integers not exceeding a which can be expressed as a sum of two squares excepting 1. The function λ(x) clearly approaches infinity as x increases, but one can ask how fast it does so.  Landau and Ramanujan both independently proved that a limit exists.
Subjects

*Mathematics > Calculus and Analysis > Special Functions
*Mathematics > Number Theory
Keywords

Landau-Ramanujan constant, sum of two squares, constants
URL

http://mathworld.wolfram.com/Landau-RamanujanConstant.html
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