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347:: the contribution of Chowla and Mordell was the 'only if' direction. The ratio in the theorem occurs in the
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When a Gauss sum is the square root of a prime number, multiplied by a root of unity
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177:{\displaystyle G(\chi )=\sum \chi (a)\zeta ^{a}}
47:. It was proved and published independently by
286:{\displaystyle {\frac {G(\chi )}{|G(\chi )|}}}
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343:. The 'if' part was known to
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31:determining cases where a
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321:quadratic residue symbol
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200:{\displaystyle \zeta }
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25:Chowla–Mordell theorem
361:Gauss and Jacobi Sums
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312:{\displaystyle \chi }
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91:{\displaystyle \chi }
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336:{\displaystyle p}
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220:{\displaystyle p}
117:{\displaystyle p}
71:{\displaystyle p}
49:Sarvadaman Chowla
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41:prime number
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37:square root
21:mathematics
375:Categories
355:References
307:χ
270:χ
251:χ
195:ζ
166:ζ
153:χ
150:∑
141:χ
86:χ
33:Gauss sum
323:modulo
319:is the
231:, then
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345:Gauss
39:of a
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19:In
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135:G
112:p
66:p
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