Results 41 to 50 of about 78,217 (127)
Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems
Journal of High Energy Physics, 2022 We derive new Poincaré-series representations for infinite families of non-holomorphic modular invariant functions that include modular graph forms as they appear in the low-energy expansion of closed-string scattering amplitudes at genus one.
Daniele Dorigoni +2 more
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, 2017 In this article, the authors give a lower bound on the number of sign changes of Fourier coefficients of a non-zero degree two Siegel cusp form of even integral weight on a Hecke congruence subgroup.
Gun, S., Sengupta, J.
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On the arithmetic nature of coefficients of multiplicative eta-functions
Вестник Самарского университета: Естественнонаучная серияIn the article we study the arithmetic nature of the coefficients of multiplicative eta-products, also called McKay functions. For some functions it is possible to establish Hecke correspondence between the coefficients of McKay and Hecke grossen ...
G. V. Voskresenskaya
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Products of Eisenstein series and Fourier expansions of modular forms at cusps
, 2018 We show, for levels of the form $N = p^a q^b N'$ with $N'$ squarefree, that in weights $k \geq 4$ every cusp form $f \in \mathcal{S}_k(N)$ is a linear combination of products of certain Eisenstein series of lower weight.
Dickson, Martin, Neururer, Michael
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Nonlinear Analysis, 2020 In the paper, joint discrete universality theorems on the simultaneous approximation of a collection of analytic functions by a collection of discrete shifts of zeta-functions attached to normalized Hecke-eigen cusp forms are obtained.
Antanas Laurinčikas +2 more
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Quantitative quantum ergodicity and the nodal domains of Maass-Hecke cusp forms [PDF]
, 2016 We prove a quantitative statement of the quantum ergodicity for Hecke--Maass cusp forms on the modular surface. As an application of our result, along a density $1$ subsequence of even Hecke--Maass cusp forms, we obtain a sharp lower bound for the $L^2 ...
Jung, Junehyuk
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Cluster boundary layer measurements and optical observations at magnetically conjugate sites [PDF]
Annales Geophysicae, 2001 The Cluster spacecraft experienced several boundary layer encounters when flying outbound from the magnetosphere to the magnetosheath in the dusk sector on 14 January 2001.
J. Moen +10 more
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Co-existing Dental Anomalies - Talon Cusp and Supernumerary Tooth - A Case Report
Journal of Indian Academy of Oral Medicine and Radiology, 2004 Supernumerary tooth is a common dental anomaly present in both maxilla and mandible. It may manifest as an isolated dental anomaly or as a feature of a syndrome. Talon cusp is another dental anomaly and presents as an accessory cusp in both deciduous and
Elizabeth Joshua +4 more
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Extension of the discrete universality theorem for zeta-functions of certain cusp forms
Nonlinear Analysis, 2018 In the paper, an universality theorem on the approximation of analytic functions by generalized discrete shifts of zeta functions of Hecke-eigen cusp forms is obtained.
Antanas Laurinčikas +2 more
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Hecke operators on period functions for the full modular group
, 2004 Matrix representations of Hecke operators on classical holomorphical cusp forms and corresponding period polynomials are well known. In this article we define Hecke operators on period functions and show that they correspond to the Hecke operators on ...
Mühlenbruch, Tobias
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