Euler-Rabinowitsch polynomials and class number problems revisited. (English) Zbl 1296.11138

Mollin, Richard A.; Srinivasan, Anitha

Funct. Approximatio, Comment. Math. 45, No. 2, 271-288 (2011).

Summary: We prove a conjecture posed in [Int. J. Math. Math. Sci. 2009, Article ID 819068, 14 p. (2009; Zbl 1290.11151)] and continue the process of determining Euler-Rabinowitsch polynomials that produce consecutive primes in a given range of inputs, and the relationship with class numbers of the underlying quadratic field.

MSC:

11R11	Quadratic extensions
11R29	Class numbers, class groups, discriminants
11N32	Primes represented by polynomials; other multiplicative structures of polynomial values

Keywords:

class numbers; real quadratic fields; prime-producing polynomials; continued fractions

Citations:

Zbl 1290.11151

References:

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