Results 1 to 10 of about 190,388 (322)
Equivalent Binary Quadratic Form and the Extended Modular Group [PDF]
, 2012 Extended modular group $\bar{\Pi}=$, where $ R:z\rightarrow -\bar{z}, \sim T:z\rightarrow\frac{-1}{z},\simU:z\rightarrow\frac{-1}{z +1} $, has been used to study some properties of the binary quadratic forms whose base points lie in the point set ...
Muhammad Aslam Malik +1 more
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The inhomogeneous minima of binary quadratic forms (I) [PDF]
Acta Mathematica, 1952 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edwin Barnes, H. P. F. Swinnerton-Dyer
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The representation of binary quadratic forms by positive definite quaternary quadratic forms [PDF]
Transactions of the American Mathematical Society, 1994 According to Dickson we call a positive definite integral quadratic form \(f\) on \(\mathbb{Z}^ n\) regular, if for every positive integer \(a\) a local representation of \(a\) by \(f\) at all completions of \(\mathbb{Z}^ n\) implies global representation of \(a\) by \(f\).
A. G. Earnest
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Representation on Average of Binary Quadratic Forms by an Integral Quaternary Quadratic Form
, 2012 Let $-d$ be a a negative discriminant and let $T$ vary over a set of representatives of the integral equivalence classes of integral binary quadratic forms of discriminant $-d$.
Rainer Schulze‐Pillot
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Neighbors Of Indefinite Binary Quadratic Forms
, 2011 {"references": ["J.Buchmann and U.Vollmer. Binary Quadratic Forms: An Algorithmic\nApproach. Springer-Verlag, Berlin, Heidelberg, 2007.", "D.A.Buell. Binary Quadratic Forms, Clasical Theory and Modern Computations.\nSpringer-Verlag, New York, 1989.", "D.E.Flath. Introduction to Number Theory. Wiley, 1989.", "R.A. Mollin.
Ahmet Tekcan
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Representation of Binary Quadratic Forms by a Quaternary Form [PDF]
Journal of Mathematical Sciences, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. Yu. Kuranova
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Binary quadratic forms as dessins [PDF]
Journal de théorie des nombres de Bordeaux, 2017 We show that the class of every primitive indefinite binary quadratic form is naturally represented by an infinite graph (named çark) with a unique cycle embedded on a conformal annulus. This cycle is called the spine of the çark. Every choice of an edge of a fixed çark specifies an indefinite binary quadratic form in the class represented by the çark.
Uludag, A. Muhammed +2 more
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Arithmetic progressions in binary quadratic forms and norm forms [PDF]
, 2019 We prove an upper bound for the length of an arithmetic progression represented by an irreducible integral binary quadratic form or a norm form, which depends only on the form and the progression's common difference.
Elsholtz, Christian, Frei, Christopher
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Completely p-primitive binary quadratic forms [PDF]
Journal of Number Theory, 2018 Let $f(x,y)=ax^2+bxy+cy^2$ be a binary quadratic form with integer coefficients. For a prime $p$ not dividing the discriminant of $f$, we say $f$ is completely $p$-primitive if for any non-zero integer $N$, the diophantine equation $f(x,y)=N$ has always an integer solution $(x,y)=(m,n)$ with $(m,n,p)=1$ whenever it has an integer solution.
Oh, Byeong-Kweon, Yu, Hoseog
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Represented Value Sets for Integral Binary Quadratic Forms and Lattices [PDF]
, 2007 A characterization is given for the integral binary quadratic forms for which the set of represented values is closed under products. It is also proved that for an integral binary quadratic lattice over the ring of integers of a global field, the product
Earnest, A. G., Fitzgerald, Robert W.
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