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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
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… 
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… 
2009
2009
AN INTRODUCTION TO NONSTANDARD ANALYSIS
In this paper we give an introduction to nonstandard analysis, starting with an ultrapower construction of the hyperreals. We… 
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… 
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… 
1984
1984
Vacuum charge and the eta function
The vacuum charge of a second quantized spinor field in a static classical background field on a static spacetime is studied… 
1970
1970
The Reciprocity of Dedekind Sums and the Factor Set for the Universal Covering Group of SL(2, R)
By explicit studying on theta-multipliers (i.e. the multipliers which appear in theta-transformation formulas under general… 
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