Results 11 to 20 of about 4,126 (208)

Applications of Siegel's Lemma to a system of linear forms and its minimal points [PDF]

open access: yes, 2021
Consider a real matrix $\Theta$ consisting of rows $(\theta_{i,1},\ldots,\theta_{i,n})$, for $1\leq i\leq m$. The problem of making the system linear forms $x_{1}\theta_{i,1}+\cdots+x_{n}\theta_{i,n}-y_{i}$ for integers $x_{j},y_{i}$ small naturally ...
Schleischitz, Johannes
core   +1 more source

Duality Symmetry in Momentum Frame [PDF]

open access: yes, 2001
Siegel's action is generalized to the D=2(p+1) (p even) dimensional space-time. The investigation of self-duality of chiral p-forms is extended to the momentum frame, using Siegel's action of chiral bosons in two space-time dimensions and its ...
A. Maznytsia   +22 more
core   +2 more sources

Heights and quadratic forms: on Cassels' theorem and its generalizations [PDF]

open access: yes, 2012
In this survey paper, we discuss the classical Cassels' theorem on existence of small-height zeros of quadratic forms over Q and its many extensions, to different fields and rings, as well as to more general situations, such as existence of totally ...
Fukshansky, Lenny
core   +2 more sources

An Extension of the Linnik Phenomenon [PDF]

open access: yes, 2012
The Linnik phenomenon concerning the repelling effect of Siegel's zeros is extended to L-functions in a family wider than hitherto considered.Comment: 12 ...
Motohashi, Yoichi
core   +2 more sources

On Experiencing Meaning: Irreducible Cognitive Phenomenology and Sinewave Speech [PDF]

open access: yes, 2017
Upon first hearing sinewaves, all that can be discerned are beeps and whistles. But after hearing the original speech, the beeps and whistles sound like speech.
Dorsch, John Joseph
core   +2 more sources

Integral points of small height outside of a hypersurface [PDF]

open access: yes, 2004
Let $F$ be a non-zero polynomial with integer coefficients in $N$ variables of degree $M$. We prove the existence of an integral point of small height at which $F$ does not vanish. Our basic bound depends on $N$ and $M$ only.
Fukshansky, Lenny
core   +7 more sources

Time-domain induced polarization tomography inversion [PDF]

open access: yesInternational Journal of Mining and Geo-Engineering
Induced polarization (IP) tomography measurements as a near-surface geophysical method can provide information about the degree of chargeability of subsurface materials, and are commonly used in mineral exploration, engineering studies (e.g., sediment ...
Sajjad Pourhashemi   +2 more
doaj   +1 more source

Restricted Successive Minima [PDF]

open access: yes, 2013
We give bounds on the successive minima of an $o$-symmetric convex body under the restriction that the lattice points realizing the successive minima are not contained in a collection of forbidden sublattices.
Henk, Martin, Thiel, Carsten
core   +1 more source

Goldman and Siegel on the epistemic aims of education [PDF]

open access: yes, 2020
Philosophers have claimed that education aims at fostering disparate epistemic goals. In this paper we focus on an important segment of this debate involving conversation between Alvin Goldman and Harvey Siegel.
Marabini, Alessia, Moretti, Luca
core  

Integral points of bounded degree on affine curves [PDF]

open access: yes, 2014
We generalize Siegel's theorem on integral points on affine curves to integral points of bounded degree, giving a complete characterization of affine curves with infinitely many integral points of degree d or less over some number field.
Levin, Aaron
core   +1 more source

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