Squares: Additive questions and partitions

Robert C. Vaughan

doi:10.1142/S1793042115400096

Squares: Additive questions and partitions

Robert C. Vaughan

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

This memoir is concerned with a number of additive questions in which squares occur. For ternary additive problems with at least one square, the exceptional set is considered and it is shown that current methods cannot be sharpened substantially. In a different direction, but using cognate methods, an asymptotic formula is obtained for the number of partitions of a number into squares.

Original language	English (US)
Pages (from-to)	1367-1409
Number of pages	43
Journal	International Journal of Number Theory
Volume	11
Issue number	5
DOIs	https://doi.org/10.1142/S1793042115400096
State	Published - Aug 5 2015

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1142/S1793042115400096

Cite this

@article{997426bdcf4f481bba19919be11b5f9f,

title = "Squares: Additive questions and partitions",

abstract = "This memoir is concerned with a number of additive questions in which squares occur. For ternary additive problems with at least one square, the exceptional set is considered and it is shown that current methods cannot be sharpened substantially. In a different direction, but using cognate methods, an asymptotic formula is obtained for the number of partitions of a number into squares.",

author = "Vaughan, {Robert C.}",

note = "Publisher Copyright: {\textcopyright} 2015 World Scientific Publishing Company.",

year = "2015",

month = aug,

day = "5",

doi = "10.1142/S1793042115400096",

language = "English (US)",

volume = "11",

pages = "1367--1409",

journal = "International Journal of Number Theory",

issn = "1793-0421",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "5",

}

TY - JOUR

T1 - Squares

T2 - Additive questions and partitions

AU - Vaughan, Robert C.

PY - 2015/8/5

Y1 - 2015/8/5

N2 - This memoir is concerned with a number of additive questions in which squares occur. For ternary additive problems with at least one square, the exceptional set is considered and it is shown that current methods cannot be sharpened substantially. In a different direction, but using cognate methods, an asymptotic formula is obtained for the number of partitions of a number into squares.

AB - This memoir is concerned with a number of additive questions in which squares occur. For ternary additive problems with at least one square, the exceptional set is considered and it is shown that current methods cannot be sharpened substantially. In a different direction, but using cognate methods, an asymptotic formula is obtained for the number of partitions of a number into squares.

UR - http://www.scopus.com/inward/record.url?scp=84938744992&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84938744992&partnerID=8YFLogxK

U2 - 10.1142/S1793042115400096

DO - 10.1142/S1793042115400096

M3 - Article

AN - SCOPUS:84938744992

SN - 1793-0421

VL - 11

SP - 1367

EP - 1409

JO - International Journal of Number Theory

JF - International Journal of Number Theory

IS - 5

ER -

Squares: Additive questions and partitions

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this