On an inequality between pseudorandom measures of lattices

Mauduit and Sárközy proved the following inequality between the well-distribution measure and the correlation measure of order 2: W (EN ) ≤ 3 √ NC2(EN ). This result has been generalized to inequalities between the combined pseudorandom measures and correlation measures of even order by the authors of the present paper. Here Supported by National Research Development and Innovation Office, NKFIH KKP133819 and K119528. 2010 Mathematics Subject Classification: Primary 11K45