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pro vyhledávání: '"Macmillan, J."'
Autor:
Andrade, J. C., MacMillan, J.
In this paper, we establish an asymptotic formula for the twisted second moments of Dirichlet $L$-functions with one and two twists when averaged over all primitive Dirichlet characters of modulus $R$, where $R$ is a monic polynomial in $\mathbb{F}_q
Externí odkaz:
http://arxiv.org/abs/2306.08493
Autor:
MacMillan, J.
In this paper, we extend to the function field setting the heuristics developed by Conrey, Farmer, Keating, Rubinstein and Snaith for the integral moments of L-functions. Also, we adapt to function field setting the heuristics first developed by Conr
Externí odkaz:
http://arxiv.org/abs/2110.00477
Autor:
MacMillan, J.
In this paper, we use the methods of Andrade, Rudnick and Soundarajan to prove a Theorem about Lower bounds of moments of quadratic Dirichlet L-functions associated to monic irreducible polynomials over function fields.
Comment: 9 pages, Comment
Comment: 9 pages, Comment
Externí odkaz:
http://arxiv.org/abs/2010.07214
Autor:
MacMillan, J.
Let $\mathbb{F}_q$ denote a finite field of odd cardinality $q$, $\mathbb{A}=\mathbb{F}_q[T]$ the polynomial ring over $\mathbb{F}_q$ and $k=\mathbb{F}_q(T)$ the rational function field over $\mathbb{F}_q$. In this paper, we compute the average value
Externí odkaz:
http://arxiv.org/abs/1910.04479
Autor:
Andrade, J. C., MacMillan, J.
In this paper we use techniques first introduced by Florea to improve the asymptotic formula for the first moment of the quadratic Dirichlet L-functions over the rational function field, running over all monic, square-free polynomials of even degree
Externí odkaz:
http://arxiv.org/abs/1908.04078
Autor:
MacMillan, J. C.
The Charcot-Marie-Tooth (CMT) syndrome comprises a heterogeneous group of disorders affecting the peripheral nerves and anterior horn cells of the spinal cord. They constitute a significant proportion of the burden of disability due to the single gen
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.293523
Akademický článek
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Autor:
MacMillan, J. Scott
Publikováno v:
Personal Excellence. Feb2021, Vol. 26 Issue 2, p26-29. 4p.
