The best constants in the Khintchine inequality
Uffe Haagerup (1981)
Studia Mathematica
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Uffe Haagerup (1981)
Studia Mathematica
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L. Hsu (1959)
Studia Mathematica
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Daniel Berend, J. E. Harmse (1993)
Annales de l'institut Fourier
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The set of all divisors of , ordered according to increasing magnitude, is considered, and an upper bound on the gaps between consecutive ones is obtained. We are especially interested in the divisors nearest and obtain a lower bound on their distance.
Tonko Tonkov (1974)
Acta Arithmetica
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Jerzy Sawa (1985)
Studia Mathematica
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Imre Z. Ruzsa, Andrzej Schinzel (1995)
Compositio Mathematica
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O. Fomenko (1961)
Acta Arithmetica
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Ioan Serb (2001)
Collectanea Mathematica
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Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.
K. Bartz (1988)
Acta Arithmetica
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