EUDML | Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions

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Displaying similar documents to “Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions”

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Shigeki Egami (1995)

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Gerald Kuba (2000)

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Ken Yamamura (1998)

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A corollary to a theorem of Laurent-Mignotte-Nesterenko

M. Mignotte (1998)

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The Gaussian measure on algebraic varieties

Ilka Agricola, Thomas Friedrich (1999)

Fundamenta Mathematicae

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We prove that the ring ℝ[M] of all polynomials defined on a real algebraic variety $M \subset ℝ^{n}$ is dense in the Hilbert space $L^{2} (M, e^{- {| x |}^{2}} d μ)$ , where dμ denotes the volume form of M and $d ν = e^{- {| x |}^{2}} d μ$ the Gaussian measure on M.