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pro vyhledávání: '"Jeffrey, Lin"'
In this paper we present a new approach to counting the proportion of hyperelliptic curves of genus $g$ defined over a finite field $\mathbb{F}_q$ with a given $a$-number. In characteristic three this method gives exact probabilities for curves of th
Externí odkaz:
http://arxiv.org/abs/2403.00120
Autor:
Thunder, Jeffrey Lin
We consider Diophantine equations of the kind $|F(x,y)|= m$, where $F(X,Y )\in \bz [X,Y]$ is a homogeneous polynomial of degree $d\ge 3$ that has non-zero discriminant and $m$ is a positive integer. We prove results that simplify those of Stewart and
Externí odkaz:
http://arxiv.org/abs/1505.00197
Autor:
Jeffrey Lin, Maryam Zangi, Tanguturi Venkata Narayana Hajay Kumar, Makala Shakar Reddy, Lingala Vijaya Raghava Reddy, Subir Kumar Sadhukhan, Daniel P. Bradley, Brenda Moreira-Walsh, Tiffany C. Edwards, Austin T. O’Dea, John E. Tavis, Marvin J. Meyers, Maureen J. Donlin
Publikováno v:
ACS Omega, Vol 6, Iss 12, Pp 8477-8487 (2021)
Externí odkaz:
https://doaj.org/article/c5271212d8eb4b289be69aa7fe4eb678
Autor:
Thunder, Jeffrey Lin
We estimate the sum of products or quotients of $L$-functions, where the sum is taken over all quadratic extensions of given genus over a fixed global function field. Our estimate for the sum of the quotient of two $L$-functions is analogous to a res
Externí odkaz:
http://arxiv.org/abs/1310.8572
Autor:
Thunder, Jeffrey Lin, Widmer, Martin
Let $k$ be a finite field extension of the function field $\bfF_p(T)$ and $\bar{k}$ its algebraic closure. We count points in projective space $\Bbb P ^{n-1}(\bar{k})$ with given height and of fixed degree $d$ over the field $k$. If $n>2d+3$ we deriv
Externí odkaz:
http://arxiv.org/abs/1106.0696
Publikováno v:
eLife, Vol 10 (2021)
Neuronal cell fate determinants establish the identities of neurons by controlling gene expression to regulate neuronal morphology and synaptic connectivity. However, it is not understood if neuronal cell fate determinants have postmitotic functions
Externí odkaz:
https://doaj.org/article/cf081e50c4a3401fa501aaec6448d877
Publikováno v:
Statistics in Medicine. 42:1965-1980
Autor:
Thunder, Jeffrey Lin
We estimate the number of integer solutions to decomposable form inequalities (both asymptotic estimates and upper bounds are provided) when the degree of the form and the number of variables are relatively prime. These estimates display good behavio
Externí odkaz:
http://arxiv.org/abs/math/0305078
Autor:
Thunder, Jeffrey Lin
Publikováno v:
Ann. of Math. (2) 153 (2001), no. 3, 767--804
We consider Diophantine inequalities of the kind |f(x)| \le m, where F(X) \in Z[X] is a homogeneous polynomial which can be expressed as a product of d homogeneous linear forms in n variables with complex coefficients and m\ge 1. We say such a form i
Externí odkaz:
http://arxiv.org/abs/math/0105267
Publikováno v:
The Review of Economics and Statistics. :1-30
Does social distancing harm innovation? We estimate the effect of non-pharmaceutical interventions (NPIs)—policies that restrict interactions in an attempt to slow the spread of disease—on local invention. We construct a panel of issued patents a