Note on a product formula for the Bayad function and a law of quadratic reciprocity
Heima Hayashi (2011)
Acta Arithmetica
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Displaying similar documents to “Some new evaluations of the Legendre symbol ((a+b√q)/p)”
Note on a product formula for the Bayad function and a law of quadratic reciprocity
Class number divisibility of relative quadratic function fields
Yoonjin Lee (2006)
Acta Arithmetica
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Quadratic pairs in characteristic 2 and the Witt cancellation theorem.
Elomary, Mohamed Abdou (2003)
International Journal of Mathematics and Mathematical Sciences
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On quadratic forms of height 3 and degree . (Sur les formes quadratiques de hauteur 3 et de degré au plus 2.)
Laghribi, Ahmed (1999)
Documenta Mathematica
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On the Definition of a Quadratic Form
Svetozar Kurepa (1987)
Publications de l'Institut Mathématique
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A family of infinite pairs of quadratic fields ℚ(√D) and ℚ(√-D) whose class numbers are both divisible by 3
Toru Komatsu (2001)
Acta Arithmetica
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On ternary quadratic forms over the rational numbers
Amir Jafari, Farhood Rostamkhani (2022)
Czechoslovak Mathematical Journal
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For a ternary quadratic form over the rational numbers, we characterize the set of rational numbers represented by that form over the rational numbers. Consequently, we reprove the classical fact that any positive definite integral ternary quadratic form must fail to represent infinitely many positive integers over the rational numbers. Our proof uses only the quadratic reciprocity law and the Hasse-Minkowski theorem, and is elementary.
Quadratic forms over fields with finite square class number
Kazimierz Szymiczek (1975)
Acta Arithmetica
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Class numbers of positive definite quaternary quadratic forms.
Arnold K. Pizer (1976)
Journal für die reine und angewandte Mathematik
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On rational automorphs of quadratic forms
J. Wójcik (1974)
Colloquium Mathematicae
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The mapping by heights for quadratic differentials in the disk.
Strebel, Kurt (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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The class number one problem for the real quadratic fields ℚ(√((an)²+4a))
András Biró, Kostadinka Lapkova (2016)
Acta Arithmetica
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We solve unconditionally the class number one problem for the 2-parameter family of real quadratic fields ℚ(√d) with square-free discriminant d = (an)²+4a for positive odd integers a and n.
Ternary quadratic forms that represent zero: the function field case
Mireille Car (2008)
Acta Arithmetica
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On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms
Alexander E. Patkowski (2011)
Colloquium Mathematicae
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We provide a new approach to establishing certain q-series identities that were proved by Andrews, and show how to prove further identities using conjugate Bailey pairs. Some relations between some q-series and ternary quadratic forms are established.
Quadratic functions in several variables
Vladimir Janković (2005)
The Teaching of Mathematics
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Class number one problem for real quadratic fields of a certain type
Kostadinka Lapkova (2012)
Acta Arithmetica
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