Results 1 to 10 of about 508 (172)
Automorphic Green functions on Hilbert modular surfaces [PDF]
, 2023 36 pages; mostly results from the author's ...
Buck, Johannes J.
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Physics Letters B, 2015 A framework of inflation is formulated based on symmetry groups and their associated automorphic functions. In this setting the inflaton multiplet takes values in a curved target space constructed from a continuous group G and a discrete subgroup Γ.
Rolf Schimmrigk
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Mathematics, 2021 In this note, we propose a new construction of cyclotomic p-adic L-functions that are attached to classical modular cuspidal eigenforms. This allows for us to cover most known cases to date and provides a method which is amenable to generalizations to ...
Santiago Molina
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Two string theory flavours of generalised Eisenstein series
Journal of High Energy Physics, 2023 Generalised Eisenstein series are non-holomorphic modular invariant functions of a complex variable, τ, subject to a particular inhomogeneous Laplace eigenvalue equation on the hyperbolic upper-half τ-plane.
Daniele Dorigoni, Rudolfs Treilis
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Greens functions, Hamiltonians and modular automorphisms [PDF]
Communications in Mathematical Physics, 1976 We demonstrate, under circumstances that allow the construction of a “thermodynamic” hamiltonian, that Gibbs equilibrium states ω are modular states in the Tomita-Takesaki sense. The thermodynamic Greens functionsG are connected to these modular states, and the associated group of modular automorphisms σ, by the identification $$G(A, B; t) = \omega (
Bratteli, Ola, Robinson, Derek W.
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The Group of Automorphisms of the Modular Function Field
Inventiones Mathematicae, 1971 Let F be the field of modular functions of all levels on the upper half plane, with, say, Fourier coefficients in the field of all roots of unity. One can define in an obvious way two types of automorphisms of F. First we note that F is a Galois extension of Q(j), where j is the modular function. We have therefore the Galois group U of automorphisms of
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Journal of Number Theory, 1999 Let \(f\) be a newform of weight \(k\) and trivial character with respect to \(\Gamma_0(N)\) for squarefree \(N\) and assume \(f\) has eigenvalue \(-1\) under the Fricke involution \(w_N\). In this paper, the authors characterize the vanishing of the central value \(L(f,k/2)\) of the \(L\)-function of \(f\) completely in terms of elementary properties ...
Böcherer, Siegfried +1 more
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The automorphism group of Leech lattice and elliptic modular functions
Journal of the Mathematical Society of Japan, 1985 Certain finite groups G with a representation \(\rho\) of degree d \(| 24\) over \({\mathbb{Q}}\) are shown to have moonshine properties in the sense of \textit{J. H. Conway} and \textit{S. P. Norton} [Bull. Lond. Math. Soc. 11, 308-339 (1979; Zbl 0424.20010)].
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Unlikely intersections on the p-adic formal ball. [PDF]
Res Number Theory, 2023 Serban V.
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Modular knots, automorphic forms, and the Rademacher symbols for triangle groups. [PDF]
Res Math Sci, 2023 Matsusaka T, Ueki J.
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