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Let $$k\geqslant 2$$ be a fixed natural number and $$d_k(n)$$ denote the number of ways n can be written as a product of k positive integers. We use $$\Delta _k(x)$$… Click to show full abstract
Let $$k\geqslant 2$$ be a fixed natural number and $$d_k(n)$$ denote the number of ways n can be written as a product of k positive integers. We use $$\Delta _k(x)$$ to denote the error term in the asymptotic formula of the summatory function of $$d_k(n).$$ The aim of this paper is to study the hybrid moments of $$\Delta _2(x)$$ and $$\Delta _3(x)$$ . The higher power moments of $$\Delta _2(x)$$ are also studied.
Keywords:
delta delta;
moments delta;
hybrid moments
Journal Title: Ramanujan Journal
Year Published: 2021
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Journal Title: Ramanujan Journal
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!