Saving the logarithmic factor in the error term estimates of some congruence problems
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-016-1771-1
Abstract: Combining previous ideas from Garaev and the first author, we prove a general theorem to estimate the number of elements of a subset A of an abelian group $$G=\mathbb {Z}_{n_1}\times \cdots \times \mathbb {Z}_{n_k}$$G=Zn1×⋯×Znk lying… read more here.
Keywords: saving logarithmic; error term; factor error; logarithmic factor ... See more keywords
Oscillations of the error term in the prime number theorem
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-018-0884-x
Abstract: Let $${\sigma + i{\gamma}}$$σ+iγ be a zero of the Riemann zeta function to the right of the line $${\frac{1}{2} + it}$$12+it. We show that this zero causes large oscillations of the error term of the… read more here.
Keywords: term; error term; number theorem; oscillations error ... See more keywords
Lieb–Thirring inequality with semiclassical constant and gradient error term
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2017.08.007
Abstract: Abstract In 1975, Lieb and Thirring derived a semiclassical lower bound on the kinetic energy for fermions, which agrees with the Thomas–Fermi approximation up to a constant factor. Whenever the optimal constant in their bound… read more here.
Keywords: lieb thirring; gradient error; error term; constant gradient ... See more keywords
An Error Term in the Central Limit Theorem for Sums of Discrete Random Variables
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DOI: 10.1093/imrn/rnad088
Abstract: We consider sums of independent identically distributed random variables whose distributions have $d+1$ atoms. Such distributions never admit an Edgeworth expansion of order $d$, but we show that for almost all parameters the Edgeworth expansion… read more here.
Keywords: error term; central limit; term central; random variables ... See more keywords
A Revision of the Traditional Analysis Method of Allometry to Allow Extension of the Normality-Borne Complexity of Error Structure: Examining the Adequacy of a Normal-Mixture Distribution-Driven Error Term
Sign Up to like & getrecommendations! Published in 2022 at "BioMed Research International"
DOI: 10.1155/2022/8310213
Abstract: Huxley's model of simple allometry provides a parsimonious scheme for examining scaling relationships in scientific research, resource management, and species conservation endeavors. Factors including biological error, analysis method, sample size, and overall data quality can… read more here.
Keywords: normal mixture; error term; term; analysis ... See more keywords
The effect of the spatial domain in FANOVA models with ARH(1) error term
Sign Up to like & getrecommendations! Published in 2017 at "Statistics and Its Interface"
DOI: 10.4310/sii.2017.v10.n4.a7
Abstract: Functional Analysis of Variance (FANOVA) from Hilbert-valued correlated data with spatial rectangular or circular supports is analyzed, when Dirichlet conditions are assumed on the boundary. Specifically, a Hilbert-valued fixed effect model with error term defined… read more here.
Keywords: effect spatial; error term; domain fanova; effect ... See more keywords