Dergiler / Hacettepe Journal of Mathematics and Statistics / 2007 / Cilt: 36 - Sayı: 2

THE BASE POINTS OF INDEFINITE QUADRATIC FORMS IN THE CYCLE AND PROPER CYCLE OF AN INDEFINITE QUADRATIC FORM

Sayfa
101–114
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the second section, we derive some results concerning thebase points of indefinite quadratic forms in the cycle and proper cycleof F using the transformations τ (F) = (−a, b, −c), ξ(F) = (c, b, a),χ(F) = (−c, b, −a), ψ(F) = (−a, −b, −c), and the right neighbor Ri(F)of F for i ≥ 0.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let F = (a, b, c) be an indefinite quadratic form of discriminant ∆ > 0.In the first section, we give some preliminaries from binary quadraticforms.
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Temel Bulgular & Veri:Let F = (a, b, c) be an indefinite quadratic form of discriminant ∆ > 0.In the first section, we give some preliminaries from binary quadraticforms.
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Sonuç & Katkı:In the second section, we derive some results concerning thebase points of indefinite quadratic forms in the cycle and proper cycleof F using the transformations τ (F) = (−a, b, −c), ξ(F) = (c, b, a),χ(F) = (−c, b, −a), ψ(F) = (−a, −b, −c), and the right neighbor Ri(F)of F for i ≥ 0.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Quadratic form · Indefinite form · Cycle

Abstract

Let F = (a, b, c) be an indefinite quadratic form of discriminant ∆ > 0.In the first section, we give some preliminaries from binary quadraticforms. In the second section, we derive some results concerning thebase points of indefinite quadratic forms in the cycle and proper cycleof F using the transformations τ (F) = (−a, b, −c), ξ(F) = (c, b, a),χ(F) = (−c, b, −a), ψ(F) = (−a, −b, −c), and the right neighbor Ri(F)of F for i ≥ 0.

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Bu Makaleye Atıf Yap

TEKCAN, A. (2022). THE BASE POINTS OF INDEFINITE QUADRATIC FORMS IN THE CYCLE AND PROPER CYCLE OF AN INDEFINITE QUADRATIC FORM. Hacettepe Journal of Mathematics and Statistics, Cilt: 36 - Sayı: 2, 101–114. https://ajindex.com/articles/530741

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Kaynakça (3)

  1. Buchmann. J. Algorithms for Binary Quadratic Forms (Darmstadt, 2000).
  2. Flath, D. E. Introduction To Number Theory (Wiley, 1989).
  3. Tekcan, A. Proper cycles of indefinite quadratic forms and their right neighbors, Applications of Mathematics 52 (5), 407–415, 2007.