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Dedekind eta function

Known as: Eta-quotient, Eta (disambiguation), Dedekind eta-function 
In mathematics, the Dedekind eta function, named after Richard Dedekind, is a modular form of weight 1/2 and is a function defined on the upper half… 
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Hard hexagon model

Papers overview

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2011
2011
When are two Dedekind sums equal
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
On the Computation of Class Polynomials with “Thetanullwerte” and Its Applications to the Unit Group Computation
The classical class invariants of Weber are introduced as quotients of Thetanullwerte, enabling the computation of these… 
Highly Cited
2009
Highly Cited
2009
PERIASTRON PASSAGE TRIGGERING OF THE 19TH CENTURY ERUPTIONS OF ETA CARINAE
We reconstruct the evolution of η Car in the last two centuries under the assumption that the two 19th century eruptions were… 
2005
2005
Approximations to π via the Dedekind eta function
Arguably the most efficient algorithm currently known for the extended precision calculation of π is a quartic iteration due to J… 
2004
2004
Transformation Formulas for Generalized Dedekind Eta Functions
Transformation formulas are obtained for generalized Dedekind eta functions; these are simpler to apply than Schoeneberg's… 
Highly Cited
2004
Highly Cited
2004
Theta-function identities and the explicit formulas for theta-function and their applications
1997
1997
Properties of certain integer-valued analogues of Dedekind sums
1996
1996
Approximations to Pi via the Dedekind eta function
Arguably the most efficient algorithm currently known for the extended precision calculation of $\pi$ is a quartic iteration due… 
1991
1991
Computations with finitely generated modules over Dedekind rings
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
THE THEORY OF ORDERED ABELIAN GROUPS DOES NOT HAVE THE INDEPENDENCE PROPERTY
ABSTRACT. We prove that no complete theory of ordered abelian groups hasthe independence property, thus answering a question by B… 
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