In mathematics, Mahler's compactness theorem, proved by Kurt Mahler (1946), is a foundational result on lattices in Euclidean space, characterising sets...
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Mahler spoke Chinese and was an expert photographer. Mahler's inequality Mahler measure Mahler polynomial Mahler volume Mahler's theorem Mahler's compactness...
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test for compactness, the criterion for relative compactness becomes that any sequence in Y has a subsequence convergent in X. Some major theorems characterize...
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Mahler's compactness theorem (geometry of numbers) Mahler's theorem (p-adic analysis) Maier's theorem (analytic number theory) Mann's theorem (number theory)...
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semisimple Lie groups generalizing Mahler's compactness theorem. Mumford, David (1971), "A remark on Mahler's compactness theorem" (PDF), Proceedings of the American...
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cryptography Lattice graph Lattice (module) Lattice (order) Mahler's compactness theorem Reciprocal lattice Unimodular lattice "Symmetry in Crystallography...
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numbers Minkowski's theorem Pick's theorem Mahler's compactness theorem Mahler measure Effective results in number theory Mahler's theorem Brun sieve Function...
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Mahler, a mountain in Colorado Search for "Mahler" on Wikipedia. Maher (disambiguation) Mahler measure Mahler's compactness theorem Mahler's theorem Maler...
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range of Mahler's measure". Canadian Mathematical Bulletin. 24 (4): 453–469. doi:10.4153/cmb-1981-069-5. Boyd, David (1981b). "Kronecker's Theorem and Lehmer's...
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P-adic analysis (section Mahler's theorem)
usual real absolute value or a p-adic absolute value. Mahler's theorem, introduced by Kurt Mahler, expresses continuous p-adic functions in terms of polynomials...
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analytic methods. He introduced the Chabauty topology to generalise Mahler's compactness theorem from Euclidean lattices to more general discrete subgroups. His...
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of Mississippi. Kurt Mahler, 84, German-born British-Australian mathematician (Mahler's inequality, Mahler's compactness theorem). Peck Morrison, 68,...
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Lehmer's conjecture (category Theorems in number theory)
isomorphism by their entropy by Ornstein's theorem, this means that the moduli space of all ergodic compact group automorphisms up to measurable isomorphism...
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satisfies an analogue of Gödel's completeness theorem. Does the consistency of the existence of a strongly compact cardinal imply the consistent existence of...
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Macbeath regions Mahler volume - a dimensionless quantity that is associated with a centrally symmetric convex body Minkowski's theorem - any convex set...
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p-adic analysis 1 + 2 + 4 + 8 + ⋯ k-adic notation C-minimal theory Mahler's theorem Profinite integer Volkenborn integral Two's complement In this article...
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is the Narasimhan–Seshadri theorem, a cornerstone of the Simpson correspondence. It asserts that a vector bundle on a compact Riemann surface X is stable...
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irrationality of ζ(2) and ζ(3). Later that year he showed that Müntz's theorem holds on every compact subset of the positive real axis of the Lebesgue measure. His...
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(1997), 99–132. with Klaus Schmidt: Mixing automorphisms of compact groups and a theorem of Schlickewei, Invent. Math. 111 (1993), no. 1, 69–76. with...
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(PDF) on 2016-04-19. Retrieved 2015-02-28. Robin Whitty. Lieb's Square Ice Theorem (PDF). Ivan Niven. Averages of exponents in factoring integers (PDF). Steven...
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transcendental properties. Kurt Mahler conjectured a particular transcendence result that is often referred to as Mahler's conjecture, though it was proved...
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