Results 101 to 110 of about 229 (136)

On the parity of coefficients of eta powers

open access: yes
We consider a special subsequence of the Fourier coefficients of powers of the Dedekind $η$-function, analogous to the sequence $δ_\ell := 24^{-1} \pmod{\ell}$ on which exceptional congruences of the partition function are supported.
Medvedovsky, Anna   +2 more
core  

Multiplicative Dedekind $\eta $-function and representations of finite groups [PDF]

open access: yes, 2005
Galina Valentinovna Voskresenskaya   +1 more
core   +1 more source

MONSTROUS MOONSHINE AND THE DEDEKIND ETA FUNCTION ARCHITECTURE

open access: yes
This addendum establishes formal mathematical correspondences between the DSM-861 spectral manifold and structures appearing in Monstrous Moonshine and the Dedekind eta function.Three precise connections are identified. First, the geometric commensurability defect δ = N/G−12 = 861/72 − 12 = −1/24 is exactly the exponent in the ...
openaire   +1 more source

Quotients of values of the Dedekind Eta function

open access: yesMathematische 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.
Emre Alkan   +2 more
exaly   +4 more sources

Fourier coefficients of powers of the Dedekind eta function

open access: yesRamanujan Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bernhard Heim   +2 more
exaly   +4 more sources

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