Results 11 to 20 of about 155,102 (233)
Fractional moments of Dirichlet L-functions [PDF]
Acta Arithmetica, 2010 Let $k$ be a positive real number, and let $M_k(q)$ be the sum of $|L(\tfrac12, )|^{2k}$ over all non-principal characters to a given modulus $q$. We prove that $M_k(q)\ll_k (q)(\log q)^{k^2}$ whenever $k$ is the reciprocal $n^{-1}$ of a positive integer $n$.
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Fractional moments of automorphic $L$-functions [PDF]
St. Petersburg Mathematical Journal, 2011 The Riemann zeta-function is defined by \(\zeta (s) = \sum_{n=1}^{\infty} n^{-s}\) in \(\text{Re}\, s > 1\). For \(T \geq 2\), \textit{D. R. Heath-Brown} [J. Lond. Math. Soc., II. Ser. 24, 65--78 (1981; Zbl 0431.10024)] investigated the behaviour of the integral \[ I_k (T) := \int_{1}^{T} \left | \zeta \left ( \frac {1}{2} + it \right ) \right |^{2k} \,
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Finite-Volume Fractional-Moment Criteria¶for Anderson Localization [PDF]
Communications in Mathematical Physics, 2001 LaTeX, 46 pages, one figure (epsf). To appear in Comm.
Aizenman, Michael +3 more
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On two-particle Anderson localization at low energies [PDF]
, 2011 We prove exponential spectral localization in a two-particle lattice Anderson model, with a short-range interaction and external random i.i.d. potential, at sufficiently low energies.
Aizenman +9 more
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, 2011 A technically convenient signature of Anderson localization is exponential decay of the fractional moments of the Green function within appropriate energy ranges.
A. Elgart +25 more
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Constructive Fractional-Moment Criteria for Localization in Random Operators
, 2000 We present a family of finite-volume criteria which cover the regime of exponential decay for the fractional moments of Green functions of operators with random potentials. Such decay is a technically convenient characterization of localization for it is
Abraham +26 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Families of children with cancer experience significant financial strain, even with universal healthcare. Indirect costs, such as productivity losses and non‐medical expenses, are rarely included in economic evaluations, and little is known about how effectively financial aid programmes alleviate this burden. Childhood brain tumours
Megumi Lim +8 more
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Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?
FEBS Letters, EarlyView.This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes +3 more
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Non-Markovian Levy diffusion in nonhomogeneous media
, 2007 We study the diffusion equation with a position-dependent, power-law diffusion coefficient. The equation possesses the Riesz-Weyl fractional operator and includes a memory kernel. It is solved in the diffusion limit of small wave numbers. Two kernels are
A. A. Vedenov +9 more
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
FEBS Letters, EarlyView.Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
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