Results 11 to 20 of about 4,568 (108)

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
wiley   +1 more source

The polynomials X2+(Y2+1)2$X^2+(Y^2+1)^2$ and X2+(Y3+Z3)2$X^{2} + (Y^3+Z^3)^2$ also capture their primes

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
wiley   +1 more source

On the Su–Schrieffer–Heeger model of electron transport: Low‐temperature optical conductivity by the Mellin transform

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, Alexander B. Watson, Mitchell Luskin   +2 more
wiley   +1 more source

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, Alexander P. Mangerel, Joni Teräväinen   +2 more
wiley   +1 more source

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, Noemi Broccatelli, Ilaria Mantellini, Marco Seracini   +3 more
wiley   +1 more source

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, Godwill Mbiti Kanyolo, Yoshinobu Miyazaki, Miyu Ito, Noboru Taguchi, Josef Rizell, Shintaro Tachibana, Kohei Tada, Zhen‐Dong Huang, Abbas Alshehabi, Hiroki Ubukata, Keigo Kubota, Kazuki Yoshii, Hiroshi Senoh, Cédric Tassel, Yuki Orikasa, Hiroshi Kageyama, Tomohiro Saito   +17 more
wiley   +1 more source

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad, Gohar Flad‐Harutyunyan   +1 more
wiley   +1 more source

Space‐Time Smoothness and Parsimony in Covariance Functions

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 13247-13259, September 2025.
ABSTRACT This paper challenges the trade off between computational efficiency and statistical accuracy within the framework of Gaussian space‐time processes. Under such a framework, the space‐time dependence is completely specified through the space‐time covariance function.
Tarik Faouzi, Emilio Porcu, Moreno Bevilacqua   +2 more
wiley   +1 more source

Triple sums of Kloosterman sums and the discrepancy of modular inverses

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract We investigate the distribution of modular inverses modulo positive integers c$c$ in a large interval. We provide upper and lower bounds for their box, ball, and isotropic discrepancy, thereby exhibiting some deviations from random point sets. The analysis is based, among other things, on a new bound for a triple sum of Kloosterman sums.
Valentin Blomer, Morten S. Risager, Igor E. Shparlinski   +2 more
wiley   +1 more source

Lp$L^p$‐norm bounds for automorphic forms via spectral reciprocity

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract Let g$g$ be a Hecke–Maaß cusp form on the modular surface SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$, namely an L2$L^2$‐normalised non‐constant Laplacian eigenfunction on SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$ that is additionally a joint eigenfunction of every Hecke operator. We prove the L4$L^
Peter Humphries, Rizwanur Khan
wiley   +1 more source