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pro vyhledávání: '"Cook, Brian"'
We interpret into decoupling language a refinement of a 1973 argument due to Karatsuba on Vinogradov's mean value theorem. The main goal of our argument is to answer what precisely does solution counting in older partial progress on Vinogradov's mean
Externí odkaz:
http://arxiv.org/abs/2207.01097
Autor:
Cook, Brian T., Woods, Deborah F., Ruprecht, Jessica D., Varey, Jacob, Mastandrea, Radha, de Soto, Kaylee, Harburg, Jacob F., Rebbapragada, Umaa, Mahabal, Ashish A.
RR Lyrae variable stars have long been reliable standard candles used to discern structure in the Local Group. With this in mind, we present a routine to identify groupings containing a statistically significant number of RR Lyrae variables in the Mi
Externí odkaz:
http://arxiv.org/abs/2204.05868
Publikováno v:
In Minerals Engineering December 2023 204
We establish $L^{p_1}\times\cdots\times L^{p_k}\to L^r$ and $\ell^{p_1}\times\cdots\times \ell^{p_k}\to \ell^r$ type bounds for multilinear maximal operators associated to averages over isometric copies of a given non-degenerate $k$-simplex in both t
Externí odkaz:
http://arxiv.org/abs/2006.15723
We prove discrete restriction estimates for a broad class of hypersurfaces and varieties of intermediate codimension. For our result about hypersurfaces, we use Bourgain's arithmetic version of the Tomas--Stein method and Magyar's decomposition of Bi
Externí odkaz:
http://arxiv.org/abs/2004.02301
Autor:
Cook, Brian, Hughes, Kevin
We obtain positive and negative results concerning lacunary discrete maximal operators defined by dilations of sufficiently nonsingular hypersurfaces arising from Diophantine equations in many variables. Our negative results show that this problem di
Externí odkaz:
http://arxiv.org/abs/1905.09189
Publikováno v:
A&A 626, A51 (2019)
Context. The bipolar outflows associated with low-mass protostars create cavities in the infalling envelope. These cavities are illuminated by the central protostar and inner disk, creating a bipolar scattered light nebula at near-infrared and mid-in
Externí odkaz:
http://arxiv.org/abs/1905.04134