Results 51 to 60 of about 16,023 (137)

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

Modular forms for three-loop banana integrals

Journal of High Energy Physics
We study periods of multi-parameter families of K3 surfaces, which are relevant to compute the maximal cuts of certain classes of Feynman integrals. We focus on their automorphic properties, and we show that generically the periods define orthogonal ...
Claude Duhr
doaj   +1 more source

Unitary Friedberg–Jacquet periods and anticyclotomic p-adic L-functions

Forum of Mathematics, Sigma
We extend the construction of the p-adic L-function interpolating unitary Friedberg–Jacquet periods in previous work of the author to include the p-adic variation of Maass–Shimura differential operators.
Andrew Graham
doaj   +1 more source

Stable Automorphic Forms for Semisimple Groups

, 2019
In this paper, we introduce the concept of stable automorphic forms for semisimple algebraic groups and use the stability of automorphic forms to study infinite dimensional arithmetic quotients.Comment: 27 ...
Yang, Jae-Hyun
core  

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

Smith theory and cyclic base change functoriality

Forum of Mathematics, Pi
Lafforgue and Genestier-Lafforgue have constructed the global and (semisimplified) local Langlands correspondences for arbitrary reductive groups over function fields.
Tony Feng
doaj   +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

THE INTEGRAL OPERATOR OF PROJECTION AND POINCARE SERIES FOR HOLOMORPHIC (Q; Ρ ) − FORMS

Вестник Кемеровского государственного университета, 2013
The paper addresses the spaces of multiplicate integrable automorphic forms on the plane domain D and on the compact Riemann surface D/G; where the group G is isomorphic to Fuchsian group of the first kind.
O. A. Sergeeva
doaj  

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