quadratic ideals, indefinite quadratic forms and some specific diophantine equations
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ID: 244294
2018
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Abstract
Let $k\geq 1$ be an integer and let $P=k+2,Q=k$ and $D=k^{2}+4$. In this paper, we derived some algebraic properties of quadratic ideals $I_{\gamma}$ and indefinite quadratic forms $F_{\gamma }$ for quadratic irrationals $\gamma$, and then we determine the set of all integer solutions of the Diophantine equation $F_{\gamma }^{\pm k}(x,y)=\pm Q$.
| Reference Key |
tekcan2018boletimquadratic
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|---|---|
| Authors | ;Ahmet Tekcan;Seyma Kutlu |
| Journal | urban geography |
| Year | 2018 |
| DOI |
10.5269/bspm.v36i3.30799
|
| URL | |
| Keywords | Keywords not found |
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