Results 31 to 40 of about 78,398 (277)
Scalar‐valued depth two Eichler–Shimura integrals of cusp forms
Transactions of the London Mathematical Society, 2023 Given cusp forms f and g of integral weight k⩾2, the depth two holomorphic iterated Eichler–Shimura integral If,g is defined by ∫τi∞f(z)(X−z)k−2Ig(z;Y)dz, where Ig is the Eichler integral of g and X,Y are formal variables.
Tobias Magnusson, Martin Raum
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CUSP FORMS WITH RATIONAL EVEN PERIODS
Kyushu Journal of Mathematics, 2023 Let \(\mathbb{D}\) denote the set of all discriminants \[ \mathbb{D}=\{D\in \mathbb{Z}:D\equiv 0,1(\text{mod}4)\} \] and let \(Q_{D}\) denote the set of all integral binary quadratic forms \[ Q_{D}(x,y)=ax^{2}+bxy+cy^{2} \] shortly, \(Q_{D}=[a,b,c]\), of discriminant \(D=b^{2}-4ac\).
openaire +1 more source
Existence of Hilbert cusp forms with non-vanishing $L$-values
, 2014 We give a derivative version of the relative trace formula on PGL(2) studied in our previous work, and obtain a formula of an average of central values (derivatives) of automorphic $L$-functions for Hilbert cusp forms.
Sugiyama, Shingo, Tsuzuki, Masao
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On the mean value of coefficients of certain cusp forms
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Rūta Ivanauskaitė
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Journal of High Energy Physics, 2023 We continue the study of random matrix universality in two-dimensional conformal field theories. This is facilitated by expanding the spectral form factor in a basis of modular invariant eigenfunctions of the Laplacian on the fundamental domain.
Felix M. Haehl +2 more
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The infrared behavior of tame two-field cosmological models
Nuclear Physics B, 2022 We study the first order infared behavior of tame hyperbolizable two-field cosmological models, defined as those classical two-field models whose scalar manifold is a connected, oriented and topologically finite hyperbolizable Riemann surface (Σ,G) and ...
Elena Mirela Babalic +1 more
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Distribution of mass of holomorphic cusp forms
, 2013 We prove an upper bound for the L^4-norm and for the L^2-norm restricted to the vertical geodesic of a holomorphic Hecke cusp form of large weight. The method is based on Watson's formula and estimating a mean value of certain L-functions of degree 6 ...
Blomer, Valentin +2 more
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Lifestyle Behaviors and Cardiotoxic Treatment Risks in Adult Childhood Cancer Survivors
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Higher doses of anthracyclines and heart‐relevant radiotherapy increase cardiovascular disease (CVD) risk. This study assessed CVD and CVD risk factors among adult childhood cancer survivors (CCSs) across cardiotoxic treatment risk groups and examined associations between lifestyle behaviors and treatment risks.
Ruijie Li +6 more
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Multi-instrument mapping of the small-scale flow dynamics related to a cusp auroral transient [PDF]
Annales Geophysicae, 2005 In this paper we focus on flux transfer events (FTEs) and poleward moving auroral forms (PMAFs) in the cusp region, combining data from the EISCAT Svalbard radar, SuperDARN HF radars, ground-based optics, and three low-altitude polar-orbiting ...
K. Oksavik +9 more
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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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