On the number of representations of positive integers by quadratic forms as the basis of the space .
Tekcan, Ahmet, Bizim, Osman (2004)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Kaplansky's ternary quadratic form.”
On the number of representations of positive integers by quadratic forms as the basis of the space .
New prime-producing quadratic polynomials associated with class number one or two.
Mollin, R.A. (2002)
The New York Journal of Mathematics [electronic only]
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Association schemes of affine type over finite rings.
Tanaka, Hajime (2004)
Advances in Geometry
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Ternary quadratic forms ax² + by² + cz² representing all positive integers 8k + 4
Kenneth S. Williams (2014)
Acta Arithmetica
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Under the assumption that the ternary form x² + 2y² + 5z² + xz represents all odd positive integers, we prove that a ternary quadratic form ax² + by² + cz² (a,b,c ∈ ℕ) represents all positive integers n ≡ 4(mod 8) if and only if it represents the eight integers 4,12,20,28,52,60,140 and 308.
On certain problems in the analytical arithmetic of quadratic forms arising from the theory of curves of genus 2 with elliptic differentials.
Ian Kiming (1995)
Manuscripta mathematica
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Representations by quaternary quadratic forms whose coefficients are 1, 3 and 9
Ayşe Alaca (2009)
Acta Arithmetica
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Representations by sextenary quadratic forms whose coefficients are 1, 2 and 4
Ayşe Alaca, Şaban Alaca, Faruk Uygul, Kenneth S. Williams (2010)
Acta Arithmetica
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The connection between quadratic forms and the extended modular group
Ahmet Tekcan, Osman Bizim (2003)
Mathematica Bohemica
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In this paper some properties of quadratic forms whose base points lie in the point set , the fundamental domain of the modular group, and transforming these forms into the reduced forms with the same discriminant are given.
Quadratic Functions of Forms. Sums of whose Values give all positive Integers
L. E. Dickson (1928)
Journal de Mathématiques Pures et Appliquées
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Classification of flocks of the quadratic cone over fields of order at most 29.
Law, M., Penttila, T. (2003)
Advances in Geometry
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Quadratic minima and modular forms II
Barry Brent (2001)
Acta Arithmetica
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