Lemma Huanum,[1] ex Hua Loo-keng appellatum, in mathematica est aestimatio summarum exponentialium. Quae dicit si res P sit polynomialis per integrales aestimatus? gradús k,
sit numerus realis positivus, et f sit functio realis per
![{\displaystyle f(\alpha )=\sum _{x=1}^{N}\exp(2\pi iP(x)\alpha )}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO9CzjGNoDw0yjsNoDs0a2i4oqhFnDmQaDs0z2e3a2s4aNJCajhFaNoO)
definita, tum
,
ubi
in linea polygonali iacet cum verticibus
![{\displaystyle (2^{\nu },2^{\nu }-\nu +\varepsilon ),\quad \nu =1,\ldots ,k.}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO81aDBAaDm5aNe4o2o3ygw3oDw3zjaNaDwNaNC1aAa3ztG1ntBDaDCO)
- ↑ Hua, Loo-keng. 1938. On Waring's Problem. Quarterly Journal of Mathematics 9(1):199–202. doi 10.1093/qmath/os-9.1.199.