✦ LIBER ✦

Almost Periodicity of the Normalized Representation Numbers Associated to Positive Definite Ternary Quadratic Forms

✍ Scribed by Manfred Peter

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 197 KB
Volume: 77
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1998.2367

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✦ Synopsis

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.