Prime producing polynomials: Proof of a conjecture by Mollin and Williams

• Autorzy: Anitha Srinivasan
• Języki publikacji: EN

Słowa kluczowe

EN

class number; binary quadratic forms; prime producing polynomials

Kategorie tematyczne

• 11R29: Class numbers, class groups, discriminants
• 11E16: General binary quadratic forms
• 11R09: Polynomials (irreducibility, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 89
• Numer: 1
• Strony: 1-7

Daty

wydano

1999

otrzymano

1997-04-03

poprawiono

1998-12-17

Twórcy

autor

Anitha Srinivasan

• Department of Mathematics, University of Puerto Rico, Humacao, Puerto Rico 00791, U.S.A.

Bibliografia

• [Bu] D. Buell, Binary Quadratic Forms, Springer, New York, 1989.
• [C1] H. Cohn, Advanced Number Theory, Dover, New York, 1980.
• [C2] H. Cohn A Second Course in Number Theory, Wiley, New York, 1962.
• [L1] S. Louboutin, Prime producing quadratic polynomial and class numbers of real quadratic fields, Canad. J. Math. 42 (1990), 315-341.
• [L2] S. Louboutin Addendum to 'Prime producing quadratic polynomial and class numbers of real quadratic fields', Canad. J. Math. 42 (1990), 1131.
• [Mo] R. A. Mollin, Quadratics, CRC Press, Boca Raton, 1996.
• [MW] R. A. Mollin and H. C. Williams, On a determination of real quadratic fields of class number one and related continued fraction period length less than 25, Proc. Japan Acad. 67 (1991), 20-25.