Results 61 to 70 of about 702,417 (178)
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
The full sets of multilevel linear recurring sequences over all isomorphic and automorphic representations of Galois fields GF(512) and GF(1024) are built. Constructions of cryptographically high quality S-box of processor-oriented lengths N = {512, 1024}
A. V. Sokolov
doaj
Representations and automorphisms of the irrational rotation algebra [PDF]
It is known that the representation theory of an irrational rotation algebra \(A_{\alpha}\) is rather complicated. Let U, V be generators of \(A_{\alpha}\) satisfying the relation \(UV=\exp (2\pi i\alpha)VU\). The author has succeeded to describe all separable representations of \(A_{\alpha}\) which have uniform multiplicity m(m') when restricted to ...
openaire +2 more sources
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
Lifting Automorphisms of Quotients of Adjoint Representations
Changes made following referee's suggestions.
openaire +3 more sources
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
Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
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
Automorphic Representations of SL(2,R) and Quantization of Fields
In this paper we make a clear relationship between the automorphic representations and the quantization through the Geometric Langlands Correspondence.
Do Ngoc Diep, D. Quynh
semanticscholar +1 more source

