Results 71 to 80 of about 114 (98)

A Planar Cubic Derived from the Logarithm of the Dedekind $$\eta $$-Function [PDF]

The Mathematical Intelligencer, 2021
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Universality of the Microcanonical Entropy at Large Spin. [PDF]

Commun Math Phys
Pal S, Qiao J, van Rees BC.
europepmc   +1 more source

On the multipliersystem of the Riemann-Dedekind function \(\eta\)

Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen: Series A: Mathematical Sciences, 1958
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On Dedekind's function \(\eta(\tau)\)

, 1951
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The Dedekind eta function and D’Arcais-type polynomials

Research in Mathematical Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
, Neuhaüser Markus, Heim Bernhard
exaly   +2 more sources

The Dedekind eta function

Graduate Texts in Mathematics, 1976
In many applications of elliptic modular functions to number theory the eta function plays a central role.
Apostol Tom M, Tom M Apostol
exaly   +2 more sources

Certain Modular Functions Similar to the Dedekind eta Function

Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg, 2002
For any even and primitive Dirichlet character \(\psi\) the authors study properties of the function \[ \eta_\psi(z)=q^{-\tfrac 12 L(-1,\psi)} \prod^\infty_{n=1} (1-q^n)^{\psi(n)}, \] where \(q=\exp(2\pi iz)\) and \(L(s,\psi)\) is the Dirichlet \(L\)-function attached to \(\psi\).
Horie, T., Kanou, N.
exaly   +3 more sources

Quotients of values of the Dedekind Eta function

Mathematische Annalen, 2008
This paper investigates quotients \(\eta(A_j z)/\eta(A_{j-1} z)\) of the Dedekind eta function, where \(A_{j-1}\) and \(A_j\) are matrices whose rows are the coordinates of consecutive visible lattice points in a dilation \(X\Omega\) of a fixed region \(\Omega\) in \(\mathbb{R}^2\), and \(z\) is a fixed complex number in the upper half plane.
Xiong MAOSHENG, Alexandru Zaharescu, Emre Alkan   +2 more
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On the Transformation Formula for the Dedekind Eta-Function

Developments in Mathematics, 2001
A new simple proof of the transformation formula for the Dedekind eta-function is given. Some connections with certain infinite series are made.
Berndt Bruce C
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Dedekind’s Eta Function and Modular Forms

Springer Monographs in Mathematics, 2011
Throughout this monograph we use the notation $$e(z) = e^{2\pi iz}$$ where z is a complex number. We define the Dedekind eta function by the infinite product $$\eta(z) = e\bigl( {\tfrac{z}{24}}\bigr) \prod_{n=1}^{\infty} (1 - q^n) \qquad \mbox{with} \qquad q = e(z) .$$ (1.1) The product converges normally for q in the unit disc or ...
Kohler Gunter, Gunter Kohler
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