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MOC
2016
4 years 3 months ago
Zeros of Dedekind zeta functions under GRH
Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedekind zeta function having imaginary part in [T−a, T+a]. We also prove a bound for the multiplicity...
Loïc Grenié, Giuseppe Molteni
MOC
2016
4 years 3 months ago
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums
This paper extends tools developed in [10, 8] to study character polylogarithms. These objects are used to compute Mordell-Tornheim-Witten character sums and to explore their conn...
David H. Bailey, Jonathan M. Borwein
MOC
2016
4 years 3 months ago
Contraction property of adaptive hybridizable discontinuous Galerkin methods
We establish the contraction property between consecutive loops of adaptive hybridizable discontinuous Galerkin methods for the Poisson problem with homogeneous Dirichlet condition...
Bernardo Cockburn, Ricardo H. Nochetto, Wujun Zhan...
MOC
2016
4 years 3 months ago
Better polynomials for GNFS
Abstract. The general number field sieve (GNFS) is the most efficient algorithm known for factoring large integers. It consists of several stages, the first one being polynomial ...
Shi Bai, Cyril Bouvier, Alexander Kruppa, Paul Zim...
MOC
2016
4 years 3 months ago
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties
Mazur, Tate, and Teitelbaum gave a p-adic analogue of the Birch and Swinnerton-Dyer conjecture for elliptic curves. We provide a generalization of their conjecture in the good ordi...
Jennifer S. Balakrishnan, J. Steffen Müller, ...
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