Abstract
In Chapter 5 we saw that the law of quadratic reciprocity provided the answer to the question. For which primes p is the congruence x2 ≡ a (p) solvable? Here a is a fixed integer. If the same question is considered for congruences xn ≡ a (p), n a fixed positive integer, we are led into the realm of the higher reciprocity laws. When n = 3 and 4 we speak of cubic and biquadratic reciprocity.
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© 1982 Springer Science+Business Media New York
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Ireland, K., Rosen, M. (1982). Cubic and Biquadratic Reciprocity. In: A Classical Introduction to Modern Number Theory. Graduate Texts in Mathematics, vol 84. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1779-2_9
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DOI: https://doi.org/10.1007/978-1-4757-1779-2_9
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