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Displaying 61 – 80 of 169

L'octogone régulier et la signature des formes quadratiques entières non singulières

Catherine Bailly, Maria de Jesus Cabral (2003)

Annales de l’institut Fourier

La formule généralisant la loi de réciprocité quadratique de Legendre et exprimant le reste par huit de la signature d'une forme quadratique entière non dégénérée à l'aide d'une somme de Gauss est attribuée par Milnor à Milgram, la faisant remonter à Braun. Le formalisme de Witt la réduit au cas de dimension 1 que Chandrasekharan attribue à Cauchy et Kronecker. Braun soulignait que les preuves de ces formules nécessitent des moyens d'analyse. Une propriété métrique de l'octogone...

Lois de réciprocité explicites

Guy HENNIART (1979/1980)

Seminaire de Théorie des Nombres de Bordeaux

Neuer Beweis des Reciprocitäts- Satzes für die quadratischen Reste

Ernst Schering (1879)

Nachrichten von der Königl. Gesellschaft der Wissenschaften und der Georg-Augusts-Universität zu Göttingen

Note on a Cubic Character Sum.

Kenneth S. Williams (1975)

Aequationes mathematicae

Note on a method in elementary number theory.

Clifton T. Whyburn (1973)

Journal für die reine und angewandte Mathematik

Note on a product formula for the Bayad function and a law of quadratic reciprocity

Heima Hayashi (2011)

Acta Arithmetica

Note on a result of Barrucand and Cohn.

Kenneth S. Williams (1976)

Journal für die reine und angewandte Mathematik

Note on the cubic residues

Stanislav Jakubec (1997)

Acta Mathematica et Informatica Universitatis Ostraviensis

Nouvelle démonstration de la loi de réciprocité de Legendre

Zolotareff (1872)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

O devátém Hilbertově problému

D. K. Faddějev (1973)

Pokroky matematiky, fyziky a astronomie

On A Conjecture of Emma Lehmer.

Richard H. Hudson (1981)

Manuscripta mathematica

On a conjecture of Issai Schur.

Richard H. Hudson (1977)

Journal für die reine und angewandte Mathematik

On a conjecture of Norton

D. Burgess (1975)

Acta Arithmetica

On a connection of number theory with graph theory

Lawrence Somer, Michal Křížek (2004)

Czechoslovak Mathematical Journal

We assign to each positive integer $n$ a digraph whose set of vertices is $H = {0, 1, \dots, n - 1}$ and for which there is a directed edge from $a \in H$ to $b \in H$ if $a^{2} \equiv b (m o d n)$ . We establish necessary and sufficient conditions for the existence of isolated fixed points. We also examine when the digraph is semiregular. Moreover, we present simple conditions for the number of components and length of cycles. Two new necessary and sufficient conditions for the compositeness of Fermat numbers are also introduced.

On Alternatives of Polynomial Congruences

Mariusz Skałba (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

What should be assumed about the integral polynomials $f ₁ (x), . . ., f_{k} (x)$ in order that the solvability of the congruence $f ₁ (x) f ₂ (x) \dots f_{k} (x) \equiv 0 (m o d p)$ for sufficiently large primes p implies the solvability of the equation $f ₁ (x) f ₂ (x) \dots f_{k} (x) = 0$ in integers x? We provide some explicit characterizations for the cases when $f_{j} (x)$ are binomials or have cyclic splitting fields.

Currently displaying 61 – 80 of 169

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Displaying 61 – 80 of 169

L'octogone régulier et la signature des formes quadratiques entières non singulières

Lois de réciprocité explicites

Neuer Beweis des Reciprocitäts- Satzes für die quadratischen Reste

Note on a Cubic Character Sum.

Note on a method in elementary number theory.

Note on a product formula for the Bayad function and a law of quadratic reciprocity

Note on a result of Barrucand and Cohn.

Note on the cubic residues

Nouvelle démonstration de la loi de réciprocité de Legendre

O devátém Hilbertově problému

On A Conjecture of Emma Lehmer.

On a conjecture of Issai Schur.

On a conjecture of Norton

On a connection of number theory with graph theory

On Alternatives of Polynomial Congruences

On anti-elite prime numbers.

On character sums and the non-vanishing for s > 0 of Dirichlet L-series belonging to real odd characters χ

On Consecutive k'th Power Residues.

On explicit reciprocity laws.

On explicit reciprocity laws. II.

Currently displaying 61 – 80 of 169