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Seven octonary quadratic forms

Ayşe Alaca, Şaban Alaca, Kenneth S. Williams (2008)

Acta Arithmetica

Sharp large deviations for gaussian quadratic forms with applications

Bernard Bercu, Fabrice Gamboa, Marc Lavielle (2000)

ESAIM: Probability and Statistics

Sharp large deviations for Gaussian quadratic forms with applications

Bernard Bercu, Fabrice Gamboa, Marc Lavielle (2010)

ESAIM: Probability and Statistics

Under regularity assumptions, we establish a sharp large deviation principle for Hermitian quadratic forms of stationary Gaussian processes. Our result is similar to the well-known Bahadur-Rao theorem [2] on the sample mean. We also provide several examples of application such as the sharp large deviation properties of the Neyman-Pearson likelihood ratio test, of the sum of squares, of the Yule-Walker estimator of the parameter of a stable autoregressive Gaussian process, and finally of the empirical...

Shifted B-numbers as a set of uniqueness for additive and multiplicative functions

K.-H. Indlekofer (2005)

Acta Arithmetica

Some problems about the ternary quadratic form m₁² + m₂² + m₃²

Ruting Guo, Wenguang Zhai (2012)

Acta Arithmetica

Summation of singular series corresponding to representations of numbers by some quadratic forms in twelve variables.

Lomadze, G. (1998)

Georgian Mathematical Journal

Summation of singular series corresponding to the representation of integers by some quadratic forms in fourteen variables.

Lomadze, G. (2000)

Georgian Mathematical Journal

Sums of nine squares

Meinhard Peters (2002)

Acta Arithmetica

Sums of Squares Coprime in Pairs

Jörg Brüdern (2014)

Bulletin of the Polish Academy of Sciences. Mathematics

Asymptotic formulae are provided for the number of representations of a natural number as the sum of four and of three squares that are pairwise coprime.

Sums of squares in $ℤ [\sqrt{k}]$

Fernando Chamizo (1997)

Journal de théorie des nombres de Bordeaux

Sums of squares in rings of integers with 2 inverted

Gaël Collinet (2016)

Acta Arithmetica

We prove that in a ring of S-integers containing 1/2, any totally positive element is a sum of five squares. We also exhibit examples of such rings where some totally positive elements cannot be written as the sum of four squares.

Currently displaying 1 – 20 of 22

Page 1 Next

Displaying 1 – 20 of 22

Seven octonary quadratic forms

Sharp large deviations for gaussian quadratic forms with applications

Sharp large deviations for Gaussian quadratic forms with applications

Shifted B-numbers as a set of uniqueness for additive and multiplicative functions

Some problems about the ternary quadratic form m₁² + m₂² + m₃²

Summation of singular series corresponding to representations of numbers by some quadratic forms in twelve variables.

Summation of singular series corresponding to the representation of integers by some quadratic forms in fourteen variables.

Sums of nine squares

Sums of Squares Coprime in Pairs

Sums of squares in $ℤ [\sqrt{k}]$

Sums of squares in rings of integers with 2 inverted

Sums of squares of integral linear forms

Sums of twelve squares

Supplements to the theory of quartic residues

Sur la décomposition d'un nombre en quatre carrés

Sur la décomposition en carrés des nombres premiers de la forme $3 n + 1$

Sur la forme ternaire $x^{2} + 2 y^{2} + 3 z^{2}$ .

Sur les formes d’Hermite ternaires dans un corps quadratique imaginaire (champs $\sqrt{- 1}$ et $\sqrt{- 2}$ )

Sur les nombres de la forme $X^{2} + X Y + Y^{2}$

Sur quelques applications de la théorie des fonctions elliptiques à la théorie des nombres (suite et fin)

Currently displaying 1 – 20 of 22