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

• Autorzy: Lilu Zhao
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions
• 11P05: Waring's problem and variants
• 11P55: Applications of the Hardy-Littlewood method

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 162
• Numer: 4
• Strony: 369-379

Daty

wydano

2014

Twórcy

autor

Lilu Zhao

• School of Mathematics, Hefei University of Technology, Hefei 230009, People's Republic of China

Identyfikatory

DOI

10.4064/aa162-4-4