On unimodality problems in Pascal's triangle.
Su, Xun-Tuan, Wang, Yi (2008)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Unimodality problems of multinomial coefficients and symmetric functions.”
On unimodality problems in Pascal's triangle.
Preservation of log-concavity on summation
Oliver Johnson, Christina Goldschmidt (2006)
ESAIM: Probability and Statistics
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We extend Hoggar's theorem that the sum of two independent discrete-valued log-concave random variables is itself log-concave. We introduce conditions under which the result still holds for dependent variables. We argue that these conditions are natural by giving some applications. Firstly, we use our main theorem to give simple proofs of the log-concavity of the Stirling numbers of the second kind and of the Eulerian numbers. Secondly, we prove results concerning the log-concavity of...
On the number of ways of writing as a product of factorials.
Kane, Daniel M. (2005)
Integers
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On the average orders of a class of divisor functions.
Woodford, Roger (2007)
Integers
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New bounds on the number of representation of as a binomial coefficient.
Kane, Daniel (2004)
Integers
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Mean values of generalized gcd-sum and lcm-sum functions.
Bordellès, Olivier (2007)
Journal of Integer Sequences [electronic only]
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Higher correlations of divisor sums related to primes. I: Triple correlations.
Goldston, D. A., Yıldırım, C. Y. (2003)
Integers
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A note on a problem of Hilliker and Straus.
Jańczak, Mirosława (2007)
The Electronic Journal of Combinatorics [electronic only]
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Some Estimates of the Integral
Stojan Radenović (1992)
Publications de l'Institut Mathématique
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