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Congruences for Bipartitions with Odd Parts Distinct
partition bipartition congruence birank
2014/6/3
Hirschhorn and Sellers studied arithmetic properties of the number of partitions with odd parts distinct. In another direction, Hammond and Lewis investigated arithmetic properties of the number of bi...
Generalized compositions with a fixed number of parts
binomial coefficients Catalan numbers compositions
2011/2/22
e investigate compositions of a positive integer with a fixed num-ber of parts, when there are several types of each natural number. These compositions produce new relationships among binomial coeffic...
On an Integration-by-parts Formula for Measures
Integration-by-parts formula Harmonic sequences Inequalities
2008/6/30
An integration-by-parts formula, involving finite Borel measures supported by intervals on real line, is proved. Some applications to Ostrowski-type and Grüss-type inequalities are presented.
