Mathematika

Research Article

On Waring's problem for smaller exponents. II

R. C. Vaughana1

a1 Department of Mathematics, Imperial College London, Queen's Gate, London. SW7 2BZ

Let k denote a fixed natural number with k > 2, let s(n) denote the number of representations of n as the sum of s k-th powers of natural numbers, and let

S0025579300013838_eqn1

with

S0025579300013838_eqn2

denote the corresponding singular series.

(Received June 12 1985)

Key Words:

  • 10J06: NUMBER THEORY: Additive theory; sums of higher powers.