Exceptional sets in Waring's problem: two squares and s biquadrates

Lilu Zhao. "Exceptional sets in Waring's problem: two squares and s biquadrates." Acta Arithmetica 162.4 (2014): 369-379. <http://eudml.org/doc/279260>.

@article{LiluZhao2014,
abstract = {Let $R_s(n)$ denote the number of representations of the positive number n as the sum of two squares and s biquadrates. When $s=3$ or 4, it is established that the anticipated asymptotic formula for $R_s(n)$ holds for all $n≤X$ with at most $O(X^\{(9-2s)/8+ε \})$ exceptions.},
author = {Lilu Zhao},
journal = {Acta Arithmetica},
keywords = {circle method; Waring's problem for squares and biquadrates; asymptotic formula},
language = {eng},
number = {4},
pages = {369-379},
title = {Exceptional sets in Waring's problem: two squares and s biquadrates},
url = {http://eudml.org/doc/279260},
volume = {162},
year = {2014},
}

TY - JOUR
AU - Lilu Zhao
TI - Exceptional sets in Waring's problem: two squares and s biquadrates
JO - Acta Arithmetica
PY - 2014
VL - 162
IS - 4
SP - 369
EP - 379
AB - Let $R_s(n)$ denote the number of representations of the positive number n as the sum of two squares and s biquadrates. When $s=3$ or 4, it is established that the anticipated asymptotic formula for $R_s(n)$ holds for all $n≤X$ with at most $O(X^{(9-2s)/8+ε })$ exceptions.
LA - eng
KW - circle method; Waring's problem for squares and biquadrates; asymptotic formula
UR - http://eudml.org/doc/279260
ER -