Sparse variance for -free numbers in arithmetic progressions

作者：Dehnert Fabian^*

来源：Monatshefte fur Mathematik, 2015, 177(3): 373-396.

DOI：10.1007/s00605-014-0691-6

• Variance
• k-free numbers
• Hardy-Littlewood method

An asymptotic formula is established for the variance of the number of -free numbers taken over the residue classes of moduli which are the values of a polynomial.

• 出版日期2015-7