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2011

2011

A natural question about Dedekind sums is to find conditions on the integers $a_1, a_2$, and $b$ such that $s(a_1,b) = s(a_2, b…

2011

2011

The classical class invariants of Weber are introduced as quotients of Thetanullwerte, enabling the computation of these…

Highly Cited

2009

Highly Cited

2009

We reconstruct the evolution of η Car in the last two centuries under the assumption that the two 19th century eruptions were…

2005

2005

Arguably the most efficient algorithm currently known for the extended precision calculation of π is a quartic iteration due to J…

Highly Cited

2004

Highly Cited

2003

Highly Cited

2003

Let A = F [x1, x2, . . . , xn] be a ring of polynomials over a field F on the variables x1, x2, . . . , xn. It is well known (see…

1996

1996

Arguably the most efficient algorithm currently known for the extended precision calculation of $\pi$ is a quartic iteration due…

1991

1991

In computer algebra the use of normal forms for matrices is of eminent importance. Especially, Hermite and Smith normal form…

Highly Cited

1984

Highly Cited

1984

ABSTRACT. We prove that no complete theory of ordered abelian groups hasthe independence property, thus answering a question by B…