Volume 81 Issue 8 | Proceedings of the Japan Academy, Series A, Mathematical Sciences

VOL. 81 · NO. 8 | Oct. 2005

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Articles

On the solution of $x^2-dy^2=\pm m$

Julius M. Basilla, Hideo Wada

Proc. Japan Acad. Ser. A Math. Sci. 81 (8), 137-140, (Oct. 2005) DOI: 10.3792/pjaa.81.137 Open Access

KEYWORDS: quadratic form, Diophantine equation, continued fraction method, prime decomposition, 11D09, 11Y05, 11Y16

Weighted $L^p$ Sobolev-Lieb-Thirring inequalities

Kazuya Tachizawa

Proc. Japan Acad. Ser. A Math. Sci. 81 (8), 141-143, (Oct. 2005) DOI: 10.3792/pjaa.81.141 Open Access

KEYWORDS: Sobolev-Lieb-Thirring inequalities, $A_p$-weights, 26D15, 42B25

KEYWORDS/PHRASES