On Sums of Sixteen Biquadrates
摘要
By 1939 it was known that 13792 cannot be expressed as a sum of sixteen biquadrates (folklore), that there exist infinitely many natural numbers which cannot be written as sums of fifteen biquadrates (Kempner) and that every sufficiently large integer is a sum of sixteen biquadrates (Davenport). In this memoir it is shown that every integer larger than 10 216 and not divisible by 16 can be represented as a sum of sixteen biquadrates. Combined with a numerical study by Deshouillers, Hennecart and Landreau, this result implies that every integer larger than 13792 is a sum of sixteen biquadrates.
引用本文（GB/T 7714）
Jean‐Marc Deshouillers, Koichi Kawada, Trevor D. Wooley. On Sums of Sixteen Biquadrates[J]. Mémoires de la Société mathématique de France, 2005.
引文网络
本站仅收录题录与摘要供学习参考，全文版权归属出版方；如有侵权请联系我们删除。