Pete L.
Clark |
Return to Pete's
home page |

Cassels,

Siegel,

Gruber,

Beck and Robins,

Research Goal: The goal of our VRG is to find and explore open questions in both geometry of numbers -- e.g. Lattice Point Enumerators, the Ehrhart (Quasi)-Polynomial, Minkowski's Convex Body Theorems, Lattice Constants for Ellipsoids, Minkowski-Hlawka Theorem,... -- and its applications to number theory, especially to solutions of Diophantine equations (and

This document (

If you were to read even half of the papers below, you will be far ahead of me, which is sort of sad because it takes some time and effort to post these papers, whether I read them or not. But probably each of you should try reading at least one or two of the papers below: please tell me which you are interested in.

H.F. Blichfeldt,

L.E. Dickson,

O. Frink,

L.J. Mordell,

H. Davenport,

Ramanujan,

L.E. Dickson,

P.R. Halmos,

J.H. Conway,

M. Bhargava,

M. Bhargava and J.P. Hanke,

C.L. Siegel,

C.A. Rogers,

C.A. Rogers,

L. Colzani,

L. Tornheim,

L.J. Mordell,

D.B. Sawyer,

L.J. Mordell,

A. Brauer and R.L. Reynolds,

G. Alon and P.L. Clark,

J.H. Grace,

R.A. Rankin,

N.C. Ankeny,

L.J. Mordell,

J. Wojcik,

J.I. Deutsch,

J.I. Deutsch,

J.I. Deutsch,

L.M. Nunley,

T. Hagedorn,

L. Tornheim,

K. Mahler,

F. Lemmermemyer,

R. Baeza and M.I. Icaza,

M.I. Icaza,

R. Baeza, R. Coulangeon, M.I. Icaza and M. O'Ryan,

S. Ohno and T. Watanabe,

R. Baeza and M.I. Icaza,

W.K. Chan and J. Daniels,

R. Coulangeon, M.I. Icaza, and M. O'Ryan,

J. Bureau and J. Morales,

Binary Quadratic Forms over Z: Harrison Chapman, Hans Parshall (formerly Alex Rice)

Quaternary Quadratic Forms over Z: Jacob Hicks, Kate Thompson, Nathan Walters

Ternary Quadratic Forms over Z: Allan Lacy

Quadratic Forms over Number Fields (especially, examining work of J.I. Deutsch): Jacob Hicks, Kate Thompson, Lee Troupe, Nathan Walters

Linear Forms, Linear Systems and the Frobenius Problem: Jim Stankewicz, Jun Zhang

The Minkowski-Hlawka Theorem: Lauren Huckaba, Alex Rice

Starbodies and Minkowski distance functions: Brian Bonsignore

Minkowski's Theorem on Successive Minima: Jim Stankewicz, Nathan Walters, Jun Zhang

Ehrhart (quasi-)polynomials: Nham Ngo

RESULTS: