Geodesic
Exceptional sets in Waring's problem: two squares and $s$ biquadrates
Lilu Zhao1
1 School of Mathematics Hefei University of Technology Hefei 230009, People's Republic of China
Acta Arithmetica, Tome 162 (2014) no. 4, pp. 369-379.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $n\le X$ with at most $O(X^{(9-2s)/8+\varepsilon })$ exceptions.
DOI : 10.4064/aa162-4-4
Keywords: denote number representations positive number sum squares biquadrates established anticipated asymptotic formula holds varepsilon exceptions

Lilu Zhao 1

1 School of Mathematics Hefei University of Technology Hefei 230009, People's Republic of China 
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Lilu Zhao. Exceptional sets in Waring's problem: two squares and $s$ biquadrates. Acta Arithmetica, Tome 162 (2014) no. 4, pp. 369-379. doi : 10.4064/aa162-4-4. http://geodesic.mathdoc.fr/articles/10.4064/aa162-4-4/

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