## Search

Now showing items 1-10 of 10

#### Improved rank bounds from 2-descent on hyperelliptic Jacobians

(2018)

© 2018 World Scientific Publishing Company. We describe a qualitative improvement to the algorithms for performing 2-descents to obtain information regarding the Mordell-Weil rank of a hyperelliptic Jacobian. The improvement ...

#### On automorphism groups of toroidal circle planes

(2018)

© 2018, Springer International Publishing AG, part of Springer Nature. Schenkel proved that the automorphism group of a flat Minkowski plane is a Lie group of dimension at most 6 and described planes whose automorphism ...

#### The Drinker Paradox and its Dual

(2018)

The Drinker Paradox is as follows.
In every nonempty tavern, there is a person such that if that person is
drinking, then everyone in the tavern is drinking.
Formally, \[
\exists x \big(\varphi \rightarrow \forall ...

#### Thinplate splines on the sphere

(2018)

© 2018, Institute of Mathematics. All rights reserved. In this paper we give explicit closed forms for the semi-reproducing kernels associated with thinplate spline interpolation on the sphere. Polyharmonic or thinplate ...

#### Value sets of sparse polynomials

(2018)

We obtain a new lower bound on the size of value set V (ƒ) = ƒ(Fp) of a sparse
polynomial ƒ ϵ Fp[X] over a finite field of p elements when p is prime. This
bound is uniform with respect of the degree and depends on some ...

#### Random dynamical systems and transfer operator cycles

(2018)

Random dynamical systems are generated by recursively applied sequences of maps,
where the choice of map at each timestep is determined by a stochastic process. Such
systems are usually formulated as a skew-product, in ...

#### Three-dimensional connected groups of automorphisms of toroidal circle planes

(2018)

We contribute to the classification of toroidal circle planes and flat
Minkowski planes possessing three-dimensional connected groups of
automorphisms. When such a group is an almost simple Lie group, we show that it
is ...

#### Binomial exponential sums

(2018)

We obtain new bounds of exponential sums modulo a prime p with binomials
axk + bxn. In particular, for k=1, we improve the bound of Karatsuba
(1967) from O(n1/4 p3/4) to O(p3/4 + n1/3 p2/3)
for any n, and then use it ...