Disquisitiones Arithmeticae (Latin for Arithmetical Investigations) is a textbook on number theory written in Latin by Carl Friedrich Gauss in 1798, when...

several mathematical theorems. Gauss completed his masterpieces Disquisitiones Arithmeticae and Theoria motus corporum coelestium as a private scholar. He...

now-standard notation φ(A) comes from Gauss's 1801 treatise Disquisitiones Arithmeticae, although Gauss did not use parentheses around the argument and...

the fundamental theorem of arithmetic. Article 16 of Gauss' Disquisitiones Arithmeticae is an early modern statement and proof employing modular arithmetic...

modulo n. Gauss defined primitive roots in Article 57 of the Disquisitiones Arithmeticae (1801), where he credited Euler with coining the term. In Article...

Dirichlet, and crediting both him and Sophie Germain). In his Disquisitiones Arithmeticae (1798), Carl Friedrich Gauss (1777–1855) proved the law of quadratic...

arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae, published in 1801. A familiar use of modular arithmetic is in...

was first introduced and used by Carl Friedrich Gauss in his Disquisitiones Arithmeticae of 1801. Gauss illustrates the Chinese remainder theorem on a...

doi:10.1090/s0025-5718-1986-0815848-x. Zbl 0586.10003. The Disquisitiones Arithmeticae has been translated from Gauss's Ciceronian Latin into English...

Gauss, who referred to it as the "fundamental theorem" in his Disquisitiones Arithmeticae and his papers, writing The fundamental theorem must certainly...

l'Institut de France, (1) 14 (1813–1815), 177. C. F. Gauss, Disquisitiones Arithmeticae, Art. 291 et 292. A.-M. Legendre, Hist. et Mém. Acad. Roy. Sci...

of quadratic forms. This proof was simplified by Gauss in his Disquisitiones Arithmeticae (art. 182). Dedekind gave at least two proofs based on the arithmetic...

Orient Blackswan, 2004. p. 67. ISBN 81-7371-454-1 Gauss's book Disquisitiones Arithmeticae has been translated from Latin into English and German. The German...

of the developments in the field after the work of Gauss in Disquisitiones Arithmeticae. However, it does indicate some of the developments in fields...

Gauss, Carl Friedrich; Waterhouse, William C. (7 February 2018). Disquisitiones Arithmeticae. ISBN 9781493975600. Weisstein, Eric W. "Q.E.F." mathworld.wolfram...

century. One of the founding works of algebraic number theory, the Disquisitiones Arithmeticae (Latin: Arithmetical Investigations) is a textbook of number...

Joachim (2007), The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae, Springer, p. 21, ISBN 978-3-540-34720-0. Cajori (2013), p. 34...

canonically chosen reduced form. Carl Friedrich Gauss (1801) The Disquisitiones Arithmeticae is a profound and masterful book on number theory written by...

are of the form "Gauss, BQ, § n". Footnotes referencing the Disquisitiones Arithmeticae are of the form "Gauss, DA, Art. n". Gauss, Carl Friedrich (1828)...

studied by Brouncker, Euler and Lagrange. In 1801 Gauss published Disquisitiones Arithmeticae, a major portion of which was devoted to a complete theory of...

Kong Arthur A. Clarke (1917–2009), Jesuit translator of Gauss' Disquisitiones Arithmeticae Arthur Clarke (sport shooter) (1921–2014), British sport shooter...

Friedrich Gauss developed the theory of Gaussian periods in his Disquisitiones Arithmeticae and formulated a sufficient condition for the constructibility...

renewed when she read Carl Friedrich Gauss' monumental work Disquisitiones Arithmeticae. After three years of working through the exercises and trying...

"ΕΥΡΗΚΑ! num = Δ + Δ + Δ", and published a proof in his book Disquisitiones Arithmeticae. For this reason, Gauss's result is sometimes known as the Eureka...

unsuccessful proofs of quadratic reciprocity — as Gauss noted in his Disquisitiones Arithmeticae — but it was proved by Dirichlet (1837) with Dirichlet L-series...

residues, but the first systematic treatment is § IV of Gauss's Disquisitiones Arithmeticae (1801). Article 95 introduces the terminology "quadratic residue"...

used in its proof were known to Gauss and referenced in his Disquisitiones Arithmeticae. Despite chiefly featuring in mathematical olympiads, it is sometimes...

years later, he developed the theory of Gaussian periods in his Disquisitiones Arithmeticae. This theory allowed him to formulate a sufficient condition...

theorem about finite groups which now bears his name. In his Disquisitiones Arithmeticae in 1801, Carl Friedrich Gauss proved Lagrange's theorem for the...

{\displaystyle 2\pi /17} in terms of square roots. Gauss's book Disquisitiones Arithmeticae gives this (in modern notation) as cos ⁡ 2 π 17 = 1 16 ( 17 −...