Results 51 to 60 of about 114 (98)
Affine root systems and Dedekind's?-function
Inventiones Mathematicae, 1971 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some integrals of the Dedekind $η$ function
, 2019 Let $η$ be the weight $1/2$ Dedekind function. A unification and generalization of the integrals $\int_0^\infty f(x)η^n(ix)dx$, $n=1,3$, of Glasser \cite{glasser2009} is presented. Simple integral inequalities as well as some $n=2$, $4$, $6$, $8$, $9$, and $14$ examples are also given.
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Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. [PDF]
Math Ann, 2023 Minelli P, Sourmelidis A, Technau M.
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On the infinite Borwein product raised to a positive real power. [PDF]
Ramanujan J, 2023 Schlosser MJ, Zhou NH.
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Construction of Weight Two Eigenforms via the Generalized Dedekind Eta Function
Rocky Mountain Journal of Mathematics, 2001 Generalized Dedekind eta functions are used to construct modular forms of weight two for the modular groups \(\Gamma_0(N)\).
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From partitions to Hodge numbers of Hilbert schemes of surfaces. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Gillman N +4 more
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An Analogue of the Dedekind Eta Function for Hecke Groups $H(\sqrt{D})$
Let $D\equiv 1\bmod{4}$ be a fundamental discriminant of a real quadratic field. We construct an analogue of the classical Dedekind eta function for the Hecke group $H(\sqrt{D})$. This gives rise to a new family of holomorphic modular functions for $H(\sqrt{D})$ which vanish at the cusp at $\infty$.
Basak, D. ; https://orcid.org/0000-0001-5262-3478 +4 more
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MONSTROUS MOONSHINE AND THE DEDEKIND ETA FUNCTION ARCHITECTURE
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 ...
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