The Lattice Point Covering Theorem for Rectangles
From MaRDI portal
Publication:5580392
DOI10.2307/2689196zbMath0186.36601OpenAlexW4238081536MaRDI QIDQ5580392
Herbert S. Zuckerman, I. Niven
Publication date: 1969
Full work available at URL: https://doi.org/10.2307/2689196
Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Lattice packing and covering (number-theoretic aspects) (11H31)
Related Items
On Pythagorean triples and their harmonic fourths ⋮ Enumeration of platonic maps on the torus ⋮ Taking cube roots in \(\mathbb Z_{m}\) ⋮ Periodic assignment and graph colouring ⋮ The knowledge complexity of quadratic residuosity languages ⋮ On the symmetry lines of the standard mapping ⋮ Ahmes expansions of formal Laurent series and a class of nonarchimedean integral domains ⋮ Frobenius circulant graphs of valency six, Eisenstein-Jacobi networks, and hexagonal meshes ⋮ Equidistant families of sets ⋮ Regimes of stability of accelerator modes ⋮ Minimal covers of \(S_ n\) by Abelian subgroups and maximal subsets of pairwise noncommuting elements ⋮ A new statement about the theorem determining the region of eigenvalues of stochastic matrices ⋮ Graph spectra ⋮ Greatest common divisor matrices ⋮ Asymptotic density and social choice trade-offs ⋮ Abelian Frobenius kernels and modules over number rings ⋮ Partial orders and the modular group ⋮ Feedback numbers of Kautz digraphs ⋮ Double coset decomposition for \(SL(r+s,Z)\) with respect to congruence subgroups ⋮ A useful result in searches for good vertex-modified number-theoretic rules ⋮ Fast verification, testing, and generation of large primes ⋮ Counting configurations of limit cycles and centers ⋮ On the simulation of quantum Turing machines. ⋮ On inference control in semantic data models for statistical databases ⋮ On the number of different permanents of some sparse (0,1)-circulant matrices. ⋮ \(\sigma\)-core and \(\mathcal I\)-core of bounded sequences. ⋮ Infinitely many positive solutions of the Diophantine equation \(x^{2} - kxy + y^{2} + x = 0\) ⋮ On greatest common divisor matrices and their applications ⋮ Equipartitions of graphs ⋮ The periodic-Dirichlet problem for some semilinear wave equations ⋮ On random reductions from sparse sets to tally sets ⋮ One factors and the existence of affine designs ⋮ Primitive digraphs with smallest large exponent ⋮ On a sphere that passes through \(n\) lattice points ⋮ Some results related with statistical convergence and Berezin symbols ⋮ Enumeration of inequivalent irreducible Goppa codes ⋮ Statistical limit points of sequences of fuzzy numbers ⋮ Feedback numbers of de Bruijn digraphs ⋮ On \(\lambda\) -statistical convergence of difference sequences of fuzzy numbers ⋮ A theory of ternary complementary pairs ⋮ On the ideal convergence of subsequences and rearrangements of a real sequence ⋮ Characterizations of generators for modified de Bruijn sequences ⋮ Rotational circulant graphs ⋮ Construction and properties of \((r,s,t)\)-inverse quasigroups. I. ⋮ Counting \(k\)-projections of a point set ⋮ A geometric proof of the gap theorem ⋮ Two-sided equivalence on the special linear group ⋮ A polynomial algorithm for minimum quadratic cost flow problems ⋮ Anyonic interpretation of Virasoro characters and the thermodynamic Bethe ansatz ⋮ On strongly \(\lambda\)-summable sequences of fuzzy numbers ⋮ Moufang loops of odd order \(pq^3\) ⋮ Embedding a set of rational points in lower dimensions ⋮ Bounded multipliers of bounded \(A\)-statistically convergent sequences ⋮ Reducing multinomial coefficients modulo a prime power ⋮ Deriving algorithms on reconfigurable networks based on function decomposition ⋮ Round-optimal perfect zero-knowledge proofs ⋮ The minimal number with a given number of divisors
This page was built for publication: The Lattice Point Covering Theorem for Rectangles
