A converse to linear independence criteria, valid almost everywhere

作者：Fischler S; Hussain M^*; Kristensen S; Levesley J

来源：Ramanujan Journal, 2015, 38(3): 513-528.

DOI：10.1007/s11139-014-9662-8

We prove a weighted analogue of the Khintchine-Groshev theorem, where the distance to the nearest integer is replaced by the absolute value. This is applied to proving the optimality of several linear independence criteria over the field of rational numbers.

• 出版日期2015-12