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Computing the Landau-Ramanujan Constant
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| Organization: | Wolfram Research, Inc. |
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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.
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Landau-Ramanujan constant, sum of two squares, constants
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http://mathworld.wolfram.com/Landau-RamanujanConstant.html
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| LandauRamanujan.nb (64.5 KB) - Mathematica Notebook |
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