Sums of arithmetic functions over values of binary forms

R de la Bretèche; TD Browning

Sums of arithmetic functions over values of binary forms

R de la Bretèche, TD Browning

Research output: Contribution to journal › Article (Academic Journal) › peer-review

28 Citations (Scopus)

Abstract

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.

Translated title of the contribution	Sums of arithmetic functions over values of binary forms
Original language	English
Pages (from-to)	291 - 304
Number of pages	14
Journal	Acta Arithmetica
Volume	125 (3)
Publication status	Published - Sept 2006

Bibliographical note

Publisher: Polish Academy of Sciences

Access to Document

http://journals.impan.gov.pl/cgi-bin/aa/pdf?aa125-3-06

Handle.net

Persistent link

Cite this

@article{c467ea07549f46ccb7df3b6db48be44f,

title = "Sums of arithmetic functions over values of binary forms",

abstract = "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.",

author = "\{de la Bret{\`e}che\}, R and TD Browning",

note = "Publisher: Polish Academy of Sciences",

year = "2006",

month = sep,

language = "English",

volume = "125 (3)",

pages = "291 -- 304",

journal = "Acta Arithmetica",

issn = "1730-6264",

publisher = "Instytut Matematyczny",

}

TY - JOUR

T1 - Sums of arithmetic functions over values of binary forms

AU - de la Bretèche, R

AU - Browning, TD

N1 - Publisher: Polish Academy of Sciences

PY - 2006/9

Y1 - 2006/9

N2 - 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.

AB - 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.

M3 - Article (Academic Journal)

SN - 1730-6264

VL - 125 (3)

SP - 291

EP - 304

JO - Acta Arithmetica

JF - Acta Arithmetica

ER -

Sums of arithmetic functions over values of binary forms

Abstract

Bibliographical note

Access to Document

Handle.net

Fingerprint

Cite this