(Q1789847)
Statements
![{\displaystyle {\begin{aligned}\left({\frac {a}{u\prod _{i}p_{i}^{e_{i}}}}\right)&=\left({\frac {a}{u}}\right)\prod _{i}\left({\frac {a}{p_{i}}}\right)^{e_{i}}\\\left({\frac {a}{0}}\right)&=[a=\pm 1]\\\left({\frac {a}{-1}}\right)&={\begin{cases}1&a\geq 0\\-1&a<0\end{cases}}\\\left({\frac {a}{2}}\right)&={\begin{cases}0&2|a\\1&a\equiv \pm 1{\pmod {8}}\\-1&a\equiv \pm 3{\pmod {8}}\end{cases}}\\\left({\frac {a}{p}}\right)&\equiv a^{(p-1)/2}{\pmod {p}}\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b0916973f5b53fac29bb17de35a8897499b02e2a)
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Wikipedia(11 entries)
- dewiki Kronecker-Symbol
- enwiki Kronecker symbol
- eswiki Símbolo de Kronecker
- frwiki Symbole de Kronecker (théorie des nombres)
- hewiki סימן קרונקר
- itwiki Simbolo di Kronecker
- nlwiki Kronecker-symbool
- ptwiki Símbolo de Kronecker
- ruwiki Символ Кронекера — Якоби
- ukwiki Символ Кронекера — Якобі
- zhwiki 克罗内克符号