scientific article; zbMATH DE number 7739704

DOI10.5644/sjm.19.01.09MaRDI QIDQ6074245

Nimish Kumar Mahapatra

Publication date: 19 September 2023

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

class numberreal quadratic fieldDiophantine equation

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Cites Work

• Class number one criteria for real quadratic fields. I
• Class number 1 criteria for real quadratic fields of Richaud-Degert type
• Class number one problem for the real quadratic fields \(\mathbb{Q}(\sqrt{m^2+2r})\)
• A complete determination of the complex quadratic fields of class-number one
• The class number one problem for the real quadratic fields $\mathbb {Q}(\sqrt {(an)^2+4a})$
• Prime Producing Quadratic Polynomials and Class-Numbers of Real Quadratic Fields
• Yokoi's conjecture
• Chowla's conjecture
• On the class-number of the maximal real subfield of a cyclotomic field.
• Linear forms in the logarithms of algebraic numbers (III)

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