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Power Sums Related to Semigroups ${\sl S}(d_1,d_2,d_3)$
Leonid G. Fel, Boris Y. Rubinstein
The explicit formulas for the sums of positive powers of the integers unrepresentable by the triple of integers , are derived…
An Explicit Formula for Restricted Partition Function through Bernoulli Polynomials
Boris Y. Rubinstein
Explicit expressions for restricted partition function and its quasiperiodic components (called Sylvester waves) for a set of positive integers…
Restricted Partition Functions as Bernoulli and Euler Polynomials of Higher Order
Boris Y. Rubinstein, Leonid G. Fel
Explicit expressions for restricted partition function and its quasiperiodic components (called {\em Sylvester waves}) for a set of positive int…
On Explicit Formula for Restricted Partition Function
Boris Y. Rubinstein
A new recursive procedure for calculation of restricted partition function is suggested. An explicit formula for the restricted partition function is found based on this procedure.