Results 11 to 20 of about 1,046,535 (320)
The Arithmetic of Elliptic Curves
Elliptic Curves, 2020 Our research focuses on 9 specific elliptic curves E over Q, each with complex multiplication by the maximal order in an imaginary quadratic field. Viewed over C, each E gives rise to tori, defined by the generators ω1, ω2 ∈ C of the period lattice ...
G. Ballew, James May
semanticscholar +1 more source
Primitive geodesic lengths and (almost) arithmetic progressions [PDF]
, 2018 In this article, we investigate when the set of primitive geodesic lengths on a Riemannian manifold have arbitrarily long arithmetic progressions. We prove that in the space of negatively curved metrics, a metric having such arithmetic progressions is ...
Lafont, Jean-François +1 more
core +3 more sources
FIRE6: Feynman Integral REduction with modular arithmetic [PDF]
Computer Physics Communications, 2019 FIRE is a program performing reduction of Feynman integrals to master integrals. The C++ version of FIRE was presented in 2014. There have been multiple changes and upgrades since then including the possibility to use multiple computers for one reduction
Alexander V. Smirnov +2 more
semanticscholar +1 more source
Zariski decompositions on arithmetic surfaces [PDF]
, 2011 In this paper, we establish the Zariski decompositions of arithmetic R-divisors of continuous type on arithmetic surfaces and investigate several properties.
Moriwaki, Atsushi
core +3 more sources
Arithmetically Saturated Models of Arithmetic
Notre Dame Journal of Formal Logic, 1995 A model of a first-order theory is arithmetically saturated if it is saturated with respect to the types that are arithmetic in the complete types realized in the model. The paper presents an outline of the general theory of countable arithmetically saturated models of PA and some of its applications.
Kossak, Roman, Schmerl, James H.
openaire +2 more sources
On the concavity of the arithmetic volumes [PDF]
, 2014 In this note, we study the differentiability of the arithmetic volumes along arithmetic R-divisors, and give some equality conditions for the Brunn-Minkowski inequality for arithmetic volumes over the cone of nef and big arithmetic R-divisors.Comment: 35
Ikoma, Hideaki
core +3 more sources
The multivariate arithmetic Tutte polynomial [PDF]
, 2012 We introduce an arithmetic version of the multivariate Tutte polynomial, and (for representable arithmetic matroids) a quasi-polynomial that interpolates between the two.
Brändén, Petter, Moci, Luca
core +7 more sources
Arithmetic fake projective spaces and arithmetic fake grassmannians [PDF]
, 2008 We show that if n>5, PU(n-1,1) does not contain a cocompact arithmetic subgroup with the same Euler-Poincare characteristic (in the sense of C.T.C. Wall) as the complex projective space of dimension n-1, and show that if n=5, there are at least four such
Prasad, Gopal, Yeung, Sai-Kee
core +2 more sources
The time course of spatial attention shifts in elementary arithmetic [PDF]
, 2017 It has been proposed that elementary arithmetic induces spatial shifts of attention. However, the timing of this arithmetic-space association remains unknown. Here we investigate this issue with a target detection paradigm. Detecting targets in the right
Cai, Danni +3 more
core +1 more source
Nature Reviews Neuroscience, 2010 The vast computational power of the brain has traditionally been viewed as arising from the complex connectivity of neural networks, in which an individual neuron acts as a simple linear summation and thresholding device. However, recent studies show that individual neurons utilize a wealth of nonlinear mechanisms to transform synaptic input into ...
openaire +2 more sources