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...

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

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

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

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

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

Orient Blackswan, 2004. p. 67. ISBN 81-7371-454-1 Gauss's book Disquisitiones Arithmeticae [Arithmetical Investigations] has been translated from Latin...

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

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...

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...

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

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

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...

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...

particular, he didn't use Möbius inversion in the Disquisitiones. The Disquisitiones Arithmeticae has been translated from Latin into English and German...

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

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

Hachette among others, while undertaking private study of Gauss's Disquisitiones Arithmeticae, a book he kept close for his entire life. In 1823 he was recommended...

completeness of lists) are harder. The problems are posed in Gauss's Disquisitiones Arithmeticae of 1801 (Section V, Articles 303 and 304). Gauss discusses imaginary...

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

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

renewed when she read Carl Friedrich Gauss's 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...

polynomials for prime numbers, a result that Gauss had obtained in his Disquisitiones Arithmeticae with a much more complicated proof. In fact, Eisenstein adds...

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

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