## Search

Now showing items 1-10 of 385

#### On the number of rational points on special families of curves over function fields

(2016)

We construct families of curves which provide counterexamples for a uniform
boundedness question. These families generalize those studied previously by
several authors. We show, in detail, what fails in the argument ...

#### The Sato-Tate Distribution in Thin Parametric Families of Elliptic Curves

(2015)

We obtain new results concerning the Sato-Tate conjecture on the distribution
of Frobenius traces over single and double parametric families of elliptic
curves. We consider these curves for values of parameters having ...

#### Curves that change genus can have arbitrarily many rational points

(1995)

A singular curve over a non-perfect field K may not have a smooth model over
K. Those are said to "change genus". If K is a global field of positive
characteristic and C/K a curve that change genus, then C(K) is known ...

#### Visible Points on Curves over Finite Fields

(2013)

For a prime 𝑝 and an absolutely irreducible modulo 𝑝 polynomial 𝑓(U,V)
∈ ℤ[U,V] we obtain an asymptotic formulas for the number of solutions to
the congruence 𝑓(𝑥,𝑦) ≡ a (mod 𝑝) in positive integers 𝑥 ⩽ X, 𝑦 ...

#### Existence and uniqueness of collocating algebraic function approximations

(University of Canterbury. Dept. of Mathematics, 1990)

The problem of approximating a real-valued function by an algebraic function, where the approximation is determined by collocation at a sufficient number of distinct nodes, is
considered. Results are obtained for the ...

#### Hybrid Chebyshev collocation-series methods for elliptic problems

(University of Canterbury. Dept. of Mathematics, 1990)

#### Non-classical 4-dimensional Minkowski planes obtained as brothers of semiclassical 4-dimensional Laguerre planes

(University of Canterbury. Dept. of Mathematics, 1998)

We describe the first non-classical 4-dimensional Minkowski planes and show that they have 6-dimensional automorphism groups. These planes are obtained
by a construction of Schroth [18] from generalized quadrangles ...

#### Analyzing and reconstructing reticulation networks under timing constraints

(University of Canterbury. Dept. of Mathematics and Statistics., 2009)

Reticulation networks are now frequently used to model the history of life for various groups of organisms whose evolutionary past is likely to include reticulation events like horizontal gene transfer
or hybridization. ...

#### Automorphisms of Baer-Levi semigroups

(University of Canterbury. Dept. of Mathematics, 1981)

#### Space-like infinity and asymptotic photon fields in Q.E.D

(University of Canterbury. Dept. of Mathematics, 1982)

Infra-red effects in Q.E.D. are discussed from the point of view of space-like infinity. Using the properties of spin and conformally weighted functions defined on a null
cone, an elementary proof of the infra-red coherence ...