Results 71 to 80 of about 78,625 (277)

The sup-norm problem for PGL(4)

, 2014
Let F be a Hecke-Maass cusp form for the group SL(4, Z) with Laplace eigenvalue lambda. Assume that F satisfies the Ramanujan conjecture at infinity (this is satisfied by almost all cusp forms).
Blomer, Valentin, Maga, Péter
core   +1 more source

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

Meta‐analysis fails to show any correlation between protein abundance and ubiquitination changes

FEBS Open Bio, EarlyView.
We analyzed over 50 published proteomics datasets to explore the relationship between protein levels and ubiquitination changes across multiple experimental conditions and biological systems. Although ubiquitination is often associated with protein degradation, our analysis shows that changes in ubiquitination do not globally correlate with changes in ...
Nerea Osinalde, Unai Alduntzin, Gorka Prieto, Ugo Mayor   +3 more
wiley   +1 more source

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, Axel Kleinschmidt, Oliver Schlotterer   +2 more
doaj   +1 more source

Re‐Awakening Public Attention to the Silent Pandemic of Cancer Among Older Adults in Low‐ and Middle‐Income Countries

Aging and Cancer, EarlyView.
ABSTRACT As global populations age, cancer is increasingly becoming a leading cause of morbidity and mortality among older adults, particularly in low‐ and middle‐income countries (LMICs). Despite accounting for the majority of new cancer cases and deaths, older individuals remain underrepresented in cancer research, clinical guidelines, and health ...
Ibrahim Bidemi Abdullateef, Sunkanmi Folorunsho, Abdulazeez Opeyemi Abdulganiyu   +2 more
wiley   +1 more source

On the arithmetic nature of coefficients of multiplicative eta-functions

Вестник Самарского университета: Естественнонаучная серия
In 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
doaj   +1 more source

Dissolving cusp forms: Higher order Fermi's Golden Rules

, 2010
For a hyperbolic surface embedded eigenvalues of the Laplace operator are unstable and tend to become resonances. A sufficient dissolving condition was identified by Phillips-Sarnak and is elegantly expressed in Fermi's Golden Rule. We prove formulas for
Petridis, Yiannis N., Risager, Morten S.
core   +2 more sources

Deformation of $\Gamma_0(5)$-cusp forms [PDF]

Mathematics of Computation, 2007
The author gives an algorithm for the numerical computation of the Eisenstein series on a Riemann surface of constant negative curvature. In this paper, she focuses on the computation of the poles of the Eisenstein series. For her algorithm, she explains the technicalities of deforming the group, deformation theory for cusp forms and Eisenstein series.
openaire   +2 more sources

Complementarity of Long‐Reads and Optical Mapping in Parkinson's Disease for Structural Variants

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Long‐read sequencing and optical genome mapping technologies have the ability to detect large and complex structural variants. This has led to the discovery of novel pathogenic variants in neurodegenerative movement disorders. Thus, we aimed to systematically compare the SV detection capabilities of OGM and ONT in Parkinson's disease.
André Fienemann, Theresa Lüth, Susen Schaake, Carolin Gabbert, Marius Möller, Hauke Busch, Katja Lohmann, Jonas A. Gustafson, Danny E. Miller, Kensuke Daida, Manabu Funayama, Nobutaka Hattori, Samia Ben Sassi, Faycel Hentati, Matthew J. Farrer, Kristian K. Ullrich, Christine Klein, Joanne Trinh   +17 more
wiley   +1 more source

On joint approximation of analytic functions by nonlinear shifts of zeta-functions of certain cusp forms

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, Darius Šiaučiūnas, Adelė Vaiginytė   +2 more
doaj   +1 more source