Sums of arithmetic functions over values of binary forms

R de la Bretèche, TD Browning

Research output: Contribution to journalArticle (Academic Journal)

22 Citations (Scopus)


Given a suitable arithmetic function h, we investigate the average order of h as it ranges over the values taken by an integral binary form F. A general upper bound is obtained for this quantity, in which the dependence upon the coefficients of F is made completely explicit.
Original languageEnglish
Pages (from-to)291 - 304
Number of pages14
JournalActa Arithmetica
Volume125 (3)
Publication statusPublished - Sep 2006

Bibliographical note

Publisher: Polish Academy of Sciences

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