Abstract
For any positive integer n and flxed integer t ‚ 1, we deflne function Ut(n) = minfk : 1 t + 2 t + ¢¢¢ + n t + k = m; n j m; k 2 N + ; t 2 N + g, where n 2 N + , m 2 N + , which is a new pseudo Smarandache function. The main purpose of this paper is using the elementary method to study the properties of Ut(n), and obtain some interesting identities involving function Ut(n).
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