On convex bodies containing a given number of lattice points
β Scribed by G.D. Chakerian; H. Groemer
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 411 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This formula was proved in [2] by means of generating functions. ## 2. INTERPRETATION OF THE FORMULA'S SUMMANDS Our bijection is based on an appropriate lattice-path-interpretation for the formula's summands (pointed out by Krattenthaler [4]): Clearly, we article no. TA962754 154 0097-3165Γ97 25.0
Minkowski space M d =(R d , || ||) is just R d with distances measured using a norm || ||. A norm || || is completely determined by its unit ball {x Β₯ R d | ||x|| [ 1} which is a centrally symmetric convex body of the d-dimensional Euclidean space E d . In this note we give upper bounds for the maxi
Let f (x, y) be a polynomial with rational coefficients, and let E be a number field. We prove estimates for the number of positive integers n T such that some root : of f (n, y)=0 satisfies E/Q(:). The estimates are uniform with respect to E and, provided E satisfies natural necessary conditions, t