Generalizing the formulas of Warnaar and Schlosser, we prove that Schlosser’s qanalogue of the sums of powers has a similar formula, which can be considered as a q-analogue of Faulhaber’s formula. We also show that there is an analogous formula for alternating sums of a q-analogue of powers. MR Subject Classifications: Primary 05A30; Secondary 05A15;

This is an informal introduction to the Kac-Rice formula and some of its (mostly one-dimensional) applications.

melasma is a common acquired skin disorder. while different treatments are currently being used, in many cases it is refractory to treatment. according to the effects of topical steroids in decreasing skin pigmentation, we studied the efficacy of this new method for treatment of melasma. a total of 42 women with facial melasma, admitted to the department of dermatology of hamadan, were enrolled...