Results 31 to 40 of about 16,023 (137)
Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$
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
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
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
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
Igusa quartic and Borcherds products [PDF]
By applying Borcherds' theory of automorphic forms on bounded symmetric domains of type IV, we give a 5-dimensional linear system of automorphic forms of weight 6 on Igusa quartic 3-fold which induces an S_6-equivariant rational map of degree 16 from ...
Kondo, Shigeyuki
core
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
Higher derivative type II string effective actions, automorphic forms and E11
By dimensionally reducing the ten-dimensional higher derivative type IIA string theory effective action we place constraints on the automorphic forms that appear in the effective action in lower dimensions.
A Basu +61 more
core +1 more source
Character sum, reciprocity, and Voronoi formula
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
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
Flowering biology and nectary structure of Melissa officinalis L.
The present study on lemon balm (Melissa officinalis L.) covered flowering biology, monitoring of pollinating insects and floral nectary structure. The micromorphology of epidermal cells of the nectary was investigated using scanning electron microscopy.
Mirosława Chwil
doaj +1 more source

