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Let $n$ and $k$ be integers such that $1\le k\le n$ and $f(x)$ be a nonzero polynomial of integer coefficients such that $f(m)\ne 0$ for any positive integer $m$. For… Click to show full abstract
Let $n$ and $k$ be integers such that $1\le k\le n$ and $f(x)$ be a nonzero polynomial of integer coefficients such that $f(m)\ne 0$ for any positive integer $m$. For any $k$-tuple $\vec{s}=(s_1, ..., s_k)$ of positive integers, we define $$H_{k,f}(\vec{s}, n):=\sum\limits_{1\leq i_{1}<\cdots
Keywords:
integer;
vec integers;
vec vec;
never integers;
multiple reciprocal
Journal Title: Journal of Number Theory
Year Published: 2019
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Journal Title: Journal of Number Theory
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!