Almost periodicity of the normalized representation numbers associated to positive definite ternary quadratic forms

JOURNAL OF NUMBER THEORY

卷:77

Article

Peter, M

关键词: almost periodicity;    limit distribution;    ternary quadratic form;   

DOI  :  10.1006/jnth.1998.2367

来源: Elsevier

【 摘 要 】

It is shown that the function which associates to each natural number n the appropriately normalized number of representations of n by a positive definite ternary quadratic form is almost periodic. Furthermore the mean value of this function on the squarefree numbers is calculated and it is shown that the function has a smooth limiting distribution. (C) 1999 Academic Press.

【 授权许可】

Free