Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...
A formula involving sums of the form $\sum d(n)f(n)$ and $\sum d(n)g(n)$ is derived, where $d(n)$ is the number of divisors of $n$, and $f(x), g(x)$ are Hankel ...
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