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...

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...

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...

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

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

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...

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...

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

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...

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

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

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...

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

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

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

"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...

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

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...

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

Carl Friedrich (1965), Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory), translated by Maser, H. (Second ed...

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

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

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...

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