A simple criterion for the class number of a quadratic number field to be one

DOI10.1142/S1793042119501033zbMath1436.11129WikidataQ127895445 ScholiaQ127895445MaRDI QIDQ5236482

Víctor Julio Ramírez Viñas

Publication date: 8 October 2019

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

primesunique factorization domainprime producing polynomial

Mathematics Subject Classification ID

Quadratic extensions (11R11) Polynomials in number theory (11C08) Class numbers, class groups, discriminants (11R29) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (4)

Prime-generating quadratic polynomials ⋮ NECESSARY AND SUFFICIENT CONDITIONS FOR UNIQUE FACTORIZATION IN ℤ[(-1 + √<i>d</i>)/2] ⋮ Prime producing quadratic polynomials associated with real quadratic fields of class-number one ⋮ A Quick Route to Unique Factorization in Quadratic Orders

Cites Work

• Unnamed Item
• An improvement of the Minkowski bound for real quadratic orders using the Markoff theorem
• A new proof of the Unique Factorization of Z 1 + -d 2 for d = 3, 7, 11, 19, 43, 67, 163
• On a criterion for the class number of a quadratic number field to be one
• A note on class number one criteria of Sirola for real quadratic fields

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