Results 11 to 20 of about 7,783 (125)
Fourier expansion of light‐cone Eisenstein series
Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2175-2247, December 2023., 2023 Abstract In this work, we give an explicit formula for the Fourier coefficients of Eisenstein series corresponding to certain arithmetic lattices acting on hyperbolic n+1$n+1$‐space. As a consequence, we obtain results on location of all poles of these Eisenstein series as well as their supremum norms.
Dubi Kelmer, Shucheng Yu
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Proceedings of the London Mathematical Society, Volume 127, Issue 4, Page 1057-1133, October 2023., 2023 Abstract We show that there are infinitely many primes of the form X2+(Y2+1)2$X^2+(Y^2+1)^2$ and X2+(Y3+Z3)2$X^2+(Y^3+Z^3)^2$. This extends the work of Friedlander and Iwaniec showing that there are infinitely many primes of the form X2+Y4$X^2+Y^4$. More precisely, Friedlander and Iwaniec obtained an asymptotic formula for the number of primes of this ...
Jori Merikoski
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Studies in Applied Mathematics, Volume 151, Issue 2, Page 555-584, August 2023., 2023 Abstract We describe the low‐temperature optical conductivity as a function of frequency for a quantum‐mechanical system of electrons that hop along a polymer chain. To this end, we invoke the Su–Schrieffer–Heeger tight‐binding Hamiltonian for noninteracting spinless electrons on a one‐dimensional (1D) lattice.
Dionisios Margetis +2 more
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Multiplicative functions in short arithmetic progressions
Proceedings of the London Mathematical Society, Volume 127, Issue 2, Page 366-446, August 2023., 2023 Abstract We study for bounded multiplicative functions f$f$ sums of the form ∑n⩽xn≡a(modq)f(n),$$\begin{align*} \hspace*{7pc}\sum _{\substack{n\leqslant x\\ n\equiv a\ (\mathrm{mod}\ q)}}f(n), \end{align*}$$establishing that their variance over residue classes a(modq)$a \ (\mathrm{mod}\ q)$ is small as soon as q=o(x)$q=o(x)$, for almost all moduli q$q$,
Oleksiy Klurman +2 more
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Semi‐discrete operators in multivariate setting: Convergence properties and applications
Mathematical Methods in the Applied Sciences, Volume 46, Issue 9, Page 11058-11079, June 2023., 2023 In this paper, we study the convergence properties of certain semi‐discrete exponential‐type sampling series in a multidimensional frame. In particular, we obtain an asymptotic formula of Voronovskaya type, which gives a precise order of approximation in the space of continuous functions, and we give some particular example illustrating the theory ...
Carlo Bardaro +3 more
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Honeycomb‐Layered Oxides With Silver Atom Bilayers and Emergence of Non‐Abelian SU(2) Interactions
Advanced Science, Volume 10, Issue 6, February 24, 2023., 2023 This work reports a new class of honeycomb‐layered oxides (Ag2 M 2TeO6 (M is a transition or alkaline‐earth metal)) comprising unconventional sub‐valent bilayered silver‐rich domains (Ag6 M 2TeO6), as elucidated via aberration‐corrected transmission electron microscopy.
Titus Masese +17 more
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Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions
Abstract and Applied Analysis, Volume 2023, Issue 1, 2023., 2023 Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations and differential formulae concerning it.
Mohamed Niyaz +3 more
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Resolvents and complex powers of semiclassical cone operators
Mathematische Nachrichten, Volume 295, Issue 10, Page 1990-2035, October 2022., 2022 Abstract We give a uniform description of resolvents and complex powers of elliptic semiclassical cone differential operators as the semiclassical parameter h tends to 0. An example of such an operator is the shifted semiclassical Laplacian h2Δg+1$h^2\Delta _g+1$ on a manifold (X,g)$(X,g)$ of dimension n≥3$n\ge 3$ with conic singularities. Our approach
Peter Hintz
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Scandinavian Journal of Statistics, Volume 49, Issue 3, Page 1244-1273, September 2022., 2022 Abstract For a stationary moving average random field, a nonparametric low frequency estimator of the Lévy density of its infinitely divisible independently scattered integrator measure is given. The plug‐in estimate is based on the solution w of the linear integral equation v(x)=∫ℝdg(s)w(h(s)x)ds, where g,h:ℝd→ℝ are given measurable functions and v is
Jochen Glück +2 more
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New inversion, convolution and Titchmarsh's theorems for the half-Hilbert transform [PDF]
, 2013 While exploiting the generalized Parseval equality for the Mellin transform, we derive the reciprocal inverse operator in the weighted L2-space related to the Hilbert transform on the nonnegative half-axis.
S. Yakubovich
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