Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On Waring's Problem VIII


Affiliations
1 Annamalainagar, India
     

   Subscribe/Renew Journal


Let G(f) denote the least value of s such that every large integer is the sum of s or fewer values of the polynomial f(x) of degree n. Loo-Keng Hua under certain conditions and the author under milder conditions independently proved certain results which are roughly equivalent to the result

G(f)=O(n3 log n).

In this paper under still milder conditions certain results about G(f) are proved, which are roughly equivalent to Vinogradow's result for G(n). A lemma of Hua (Lemma 12) plays an important part in this paper.


Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 176

PDF Views: 0




  • On Waring's Problem VIII

Abstract Views: 176  |  PDF Views: 0

Authors

S. S. Pillai
Annamalainagar, India

Abstract


Let G(f) denote the least value of s such that every large integer is the sum of s or fewer values of the polynomial f(x) of degree n. Loo-Keng Hua under certain conditions and the author under milder conditions independently proved certain results which are roughly equivalent to the result

G(f)=O(n3 log n).

In this paper under still milder conditions certain results about G(f) are proved, which are roughly equivalent to Vinogradow's result for G(n). A lemma of Hua (Lemma 12) plays an important part in this paper.