S. GranlundInstitute of Mathematics, Helsinki University of TechnologyP. LindqvistInstitute of Mathematics, Helsinki University of TechnologyO. MartioDepartment of Mathematics, University of Jyväskylä
Xuecheng PangDepartment of Mathematics, East China Normal UniversityLawrence ZalcmanDepartment of Mathematics and Computer Science, Bar-Ilan University
Let$F$be a family of meromorphic functions on the unit disc Δ and let$a$and$b$be distinct values. If for every$f$∈$F$,$f$and$f′$share$a$and$b$on Δ, then$F$is normal on Δ.
Lenstra H W. Integer programming with a fixed number of variables[J]. Mathematics of Operations Research, 1983, 8(4): 538-548.
2
Martinet J. Perfect Lattices in Euclidean Spaces[C]., 2003.
3
Jeffrey C Lagarias · H W Lenstra · C P Schnorr. KORKIN-ZOLOTAREV BASES AND SUCCESSIVE MINIMA OF A LATTICE AND ITS RECIPROCAL LATTICE. 1990.
4
Nguyen P Q, Stehle D. Low-Dimensional Lattice Basis Reduction Revisited[J]. Lecture Notes in Computer Science, 2004: 338-357.
5
Beyer W A, Roof R B, Williamson D H, et al. The lattice structure of multiplicative congruential pseudo-random vectors[J]. Mathematics of Computation, 1971, 25(114): 345-363.
6
Ryshkov S S, Baranovskii E P. CLASSICAL METHODS IN THE THEORY OF LATTICE PACKINGS[J]. Russian Mathematical Surveys, 1979, 34(4): 1-68.
7
Ulrich Stuhler. Eine Bemerkung zur Reduktionstheorie quadratischer Formen. 1976.
8
Braun O, Coulangeon R. Perfect Lattices over Imaginary Quadratic Number Fields[J]. Mathematics of Computation, 2013, 84(293): 1451-1467.
9
Taussky O. Matrices of rational integers[J]. Bulletin of the American Mathematical Society, 1960, 66(5): 327-345.
10
W A Beyer. Lattice Structure and Reduced Bases of Random Vectors Generated by Linear Recurrences. 1972.