Results 21 to 30 of about 79 (79)
Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Mathematische Nachrichten, Volume 299, Issue 3, Page 496-513, March 2026.Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source
Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$
Mathematische Nachrichten, Volume 299, Issue 3, Page 661-674, March 2026.Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre +2 more
wiley +1 more source
Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley +1 more source
One‐level densities in families of Grössencharakters associated to CM elliptic curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley +1 more source
Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets
Mathematische Nachrichten, Volume 298, Issue 12, Page 3779-3790, December 2025.Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
wiley +1 more source
Tectonics, Volume 44, Issue 12, December 2025.Abstract Tectonic underplating of high‐pressure/low‐temperature (HP‐LT) tectonic slices is a key mechanism in crustal growth at convergent margins. Yet, the processes controlling the geometry, depth and sequence of underplating events remain poorly constrained.
Maïlys Bouhot +8 more
wiley +1 more source
Character sum, reciprocity, and Voronoi formula
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3797-3823, December 2025.Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley +1 more source
A System Reanalysis of the Current Greenhouse Gases Budget of Terrestrial Ecosystems in Russia
Global Biogeochemical Cycles, Volume 39, Issue 10, October 2025.Abstract This study synthesizes the budgets of three greenhouse gases (GHG, namely CO2, CH4, N2O) for Russia over two decades (2000–2009 and 2010–2019) using bottom‐up and top‐down approaches, as part of the Regional Carbon Cycle Assessment and Processes, Phase 2 (RECCAP2).
Anatoly Shvidenko +24 more
wiley +1 more source
Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
Mathematika, Volume 71, Issue 4, October 2025.Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley +1 more source
On <i>p</i>-adic <i>L</i>-functions for symplectic representations of GL ( N ) over number fields. [PDF]
Res Math SciWilliams C.
europepmc +1 more source