From Fermat to Legendre

Oswald Baumgart

Chapter Chapter 1 in The Quadratic Reciprocity Law, 2015, pp 3-6 from Springer

Abstract: Abstract After Bachet de Méziriac Bachet [1] had brought the theory of linear diophantine diophantine equation linear equations to a certain closure, mathematicians were faced with the question of solving equations of the second degree, in particular the binomial congruence congruence binomial of degree 2. In other words, the problem was to find simple conditions for the solvability of the congruence $$\displaystyle{x^{2} \equiv p\bmod q,}$$ where p and q are given integers.

Keywords: Prime Number; Simple Condition; Remarkable Fact; Quadratic Residue; Difficulty Mathematician (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-16283-6_1

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