KnowraDisquisitiones ArithmeticaeLinked fromLinked fromThe 12 pages that link to Disquisitiones Arithmeticae, each with the reason it gives.All 12Broader topic 1Related 11Modular arithmeticBroader topic: It developed congruence arithmetic into a central organizing tool for number theory.Fermat's little theoremRelated: Gauss's treatment helped establish congruences as a systematic language for results like this theorem.Cyclotomic polynomialRelated: It contains Gauss's analysis of constructible regular polygons through roots of unity.Quadratic reciprocityRelated: It contains Gauss’s first published proof of the theorem.Legendre symbolRelated: It gave quadratic residues and reciprocity a systematic presentation.Euler's criterionRelated: Its systematic account of congruences and quadratic residues provides the theorem's historical setting.Gauss–Wantzel theoremRelated: It presented the construction of the regular 17-gon and related it to arithmetic.Legendre's formulaRelated: It established a contemporary foundation for the arithmetic surrounding Legendre's work.Jacobi's four-square theoremRelated: Its arithmetic tradition frames the problem of representing integers by quadratic forms.Cubic reciprocityRelated: Its quadratic reciprocity framework set the model for later higher reciprocity laws.Gauss circle problemRelated: It contains Gauss's early estimate for the number of lattice points in a circle.Legendre's three-square theoremRelated: The treatise develops the theory of quadratic forms that underlies Gauss’s treatment of three squares.