Questions tagged [modular-arithmetic]
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An identity related to sum of two squares
Motivation: Let $k$ be a positive integer and $m=4k+1$. I want to find the necessary conditions for the following identity to hold：
$$\displaystyle\sum_{i=1}^{k}\lfloor\sqrt{im}\rfloor=\frac{m^2-1}{12}...
- 990