Abstract
Given a square-free integer d we introduce an affine hypersurface whose integer points are in one-to-one correspondence with ideal classes of the quadratic number field \(Q(\sqrt{\delta})\). Using this we relate class number problems of Gauss to Lang conjectures.
Dedicated to Hurşit Önsiper
Mathematics Subject Classification (2010). Primary 11E16 11E41; Secondary 11R29.
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Zeytin, A. (2017). Class Number Problems and Lang Conjectures. In: Mourtada, H., Sarıoğlu, C., Soulé, C., Zeytin, A. (eds) Algebraic Geometry and Number Theory . Progress in Mathematics, vol 321. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-47779-4_7
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DOI: https://doi.org/10.1007/978-3-319-47779-4_7
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Publisher Name: Birkhäuser, Cham
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