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Published in 2025 at "Mathematika"
DOI: 10.1112/mtk.70047
Abstract: Let b(n)=1$b(n)=1$ if n$n$ is the sum of two perfect squares, and b(n)=0$b(n)=0$ otherwise. We study the variance of B(x)=∑n⩽xb(n)$B(x)=\sum _{n\leqslant x}b(n)$ in short intervals by relating the variance with the second moment of the…
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Keywords:
moments functions;
two squares;
fractional moments;
functions sums ... See more keywords