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Finiteness of a class of Rabinowitsch polynomials

Jan-Christoph Schlage-Puchta (2004)

Archivum Mathematicum

We prove that there are only finitely many positive integers m such that there is some integer t such that | n 2 + n - m | is 1 or a prime for all n [ t + 1 , t + m ] , thus solving a problem of Byeon and Stark.

Frobenius distributions for real quadratic orders

Peter Stevenhagen (1995)

Journal de théorie des nombres de Bordeaux

We present a density result for the norm of the fundamental unit in a real quadratic order that follows from an equidistribution assumption for the infinite Frobenius elements in the class groups of these orders.

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