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searching for Proofs of quadratic reciprocity 14 found (21 total)

alternate case: proofs of quadratic reciprocity

Cubic reciprocity (4,061 words) [view diff] exact match in snippet view article find links to article

Arithmeticae (1801). In the introduction to the fifth and sixth proofs of quadratic reciprocity (1818) he said that he was publishing these proofs because

Euler's theorem (1,149 words) [view diff] exact match in snippet view article find links to article

edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations

Euler's criterion (1,756 words) [view diff] exact match in snippet view article find links to article

edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations

Wilson's theorem (2,306 words) [view diff] exact match in snippet view article find links to article

edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations

Primitive root modulo n (2,508 words) [view diff] exact match in snippet view article find links to article

edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations

Möbius function (3,121 words) [view diff] exact match in snippet view article find links to article

edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations

Carl Gustav Jacob Jacobi (2,116 words) [view diff] exact match in snippet view article find links to article

other work in number theory continued the work of Gauss: new proofs of quadratic reciprocity, and the introduction of the Jacobi symbol; contributions to

Fundamental theorem of arithmetic (3,213 words) [view diff] exact match in snippet view article find links to article

edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations

Dirichlet's theorem on arithmetic progressions (3,526 words) [view diff] exact match in snippet view article find links to article

first conjectured by Legendre in his attempted unsuccessful proofs of quadratic reciprocity — as Gauss noted in his Disquisitiones Arithmeticae — but it

Multiplicative group of integers modulo n (3,156 words) [view diff] exact match in snippet view article find links to article

edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations

Euler's totient function (6,524 words) [view diff] exact match in snippet view article find links to article

edition includes all of Gauss's papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations

Carl Friedrich Gauss (17,929 words) [view diff] exact match in snippet view article find links to article

earlier publication from 1818 containing his fifth and sixth proofs of quadratic reciprocity, he claimed the techniques of these proofs (Gauss sums) can

Quadratic residue (5,539 words) [view diff] exact match in snippet view article find links to article

edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations

Cyclotomic polynomial (5,525 words) [view diff] exact match in snippet view article find links to article

edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations