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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
Akademický článek
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Autor:
MacMillan, J. Scott
Publikováno v:
Personal Excellence. Feb2021, Vol. 26 Issue 2, p26-29. 4p.
Autor:
Barnes, A,P., MacMillan, J., Thomson, S.G, Spencer, M., Hopkins, J., Sutherland, L-A, Mathews, K
The UKs withdrawal from the European Union presents multiple uncertainties for farm management planning. Encouraging growth within the agricultural economy requires some acceptance of risk within farming decision making. This briefing note outlines t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::955620461d4d49281f8dd896b1f7d254