Results 21 to 30 of about 6,375 (73)

Parity of ranks of Jacobians of curves

Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser, Holly Green, Alexandros Konstantinou, Adam Morgan   +3 more
wiley   +1 more source

Is High‐Touch Enough? Personalization‐Supporting Technology in Hotel Service: A Data‐Driven Approach

Strategic Change, Volume 34, Issue 4, Page 609-630, July 2025.
ABSTRACT The paper examines personalization‐supporting technologies (PST) in hotel service, differentiating between high‐touch (personal) and high‐tech (digital) technologies. It reveals that in the sampled hotel industry, high‐touch technologies are the preferred choice.
Kitti Hiezl, Petra Gyurácz‐Németh
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

Arithmetic Satake compactifications and algebraic Drinfeld modular forms

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley   +1 more source

Counting integral points on symmetric varieties with applications to arithmetic statistics

Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.
Abstract In this article, we combine Bhargava's geometry‐of‐numbers methods with the dynamical point‐counting methods of Eskin–McMullen and Benoist–Oh to develop a new technique for counting integral points on symmetric varieties lying within fundamental domains for coregular representations.
Arul Shankar, Artane Siad, Ashvin A. Swaminathan   +2 more
wiley   +1 more source

Bounds on Fourier coefficients and global sup‐norms for Siegel cusp forms of degree 2

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Let F$F$ be an L2$L^2$‐normalized Siegel cusp form for Sp4(Z)${\rm Sp}_4({\mathbb {Z}})$ of weight k$k$ that is a Hecke eigenform and not a Saito–Kurokawa lift. Assuming the generalized Riemann hypothesis, we prove that its Fourier coefficients satisfy the bound |a(F,S)|≪εk1/4+ε(4π)kΓ(k)c(S)−12det(S)k−12+ε$|a(F,S)| \ll _\epsilon \frac{k^{1/4 ...
Félicien Comtat, Jolanta Marzec‐Ballesteros, Abhishek Saha   +2 more
wiley   +1 more source

Moments of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$

Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.
Abstract We give an asymptotic formula with power saving error term for the twisted first moment of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$ in the level aspect. As applications, we obtain nonvanishing results as well as lower bounds of the expected order of magnitude for all even moments, supporting the random matrix model for a unitary ...
Valentin Blomer, Félicien Comtat
wiley   +1 more source

Calderón–Zygmund theory on some Lie groups of exponential growth

Mathematische Nachrichten, Volume 298, Issue 1, Page 113-141, January 2025.
Abstract Let G=N⋊A$G = N \rtimes A$, where N$N$ is a stratified Lie group and A=R+$A= \mathbb {R}_+$ acts on N$N$ via automorphic dilations. We prove that the group G$G$ has the Calderón–Zygmund property, in the sense of Hebisch and Steger, with respect to a family of flow measures and metrics.
Filippo De Mari, Matteo Levi, Matteo Monti, Maria Vallarino   +3 more
wiley   +1 more source

Generalized Analytic Automorphic Forms for some Arithmetic Congruence subgroups of the Vahlen group on the n-Dimensional Hyperbolic Space

, 2004
This paper deals with a new analytic type of vector- and Clifford algebra valued automorphic forms in one and two vector variables. For hypercomplex generalizations of the classical modular group and their arithmetic congruence subgroups Eisenstein- and ...
Krausshar, Rolf Soeren
core  

Obsidian in the Caribbean islands? Mysterious Ceramic Age glass artefacts in the Lesser Antilles

Archaeometry, Volume 66, Issue 6, Page 1255-1279, December 2024.
Abstract The Caribbean islands witnessed a population expansion of ceramic‐using horticulturalists during the Early Ceramic Age (ca. 500 BC to 750 AD) from the Orinoco Valley to Puerto Rico. We examined 18 lithic artefacts from Guadeloupe and Dominica initially thought to be obsidian, a material believed to be absent from those islands. We investigated
Arthur Leck, Ludovic Bellot‐Gurlet, Guillaume Carazzo, Bernard Gratuze, Jessica Langlade, François‐Xavier Le Bourdonnec, Céline Leandri, Isaac Shearn, Christian Stouvenot, Alain Queffelec   +9 more
wiley   +1 more source