In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of...

Ramanujan, and J. E. Littlewood, who developed it in a series of papers on Waring's problem. The initial idea is usually attributed to the work of Hardy with Srinivasa...

as sums of powers of prime numbers. It is named as a combination of Waring's problem on sums of powers of integers, and the Goldbach conjecture on sums...

novel resource (if not greatly powerful) to attack important problems, such as Waring's problem and Goldbach's conjecture. Theorem. Let A {\displaystyle A}...

Every positive integer is the sum of at most 37 fifth powers (see Waring's problem). It is the third cuban prime following 7 and 19. 37 is the fifth Padovan...

death. He made the assertion known as Waring's problem without proof in his writings Meditationes Algebraicae. Waring was elected a Fellow of the Royal Society...

Indian mathematician specialising in number theory. His contribution to Waring's problem was described in 1950 by K. S. Chandrasekharan as "almost certainly...

Goldbach conjecture and Waring's problem). Analytic number theory can be split up into two major parts, divided more by the type of problems they attempt to solve...

Canadian-American number theorist best remembered for his work on Waring's problem. He worked for many years as a professor at the University of Oregon...

disproven. Some of the cubes may be negative numbers, in contrast to Waring's problem on sums of cubes, where they are required to be positive. The substitutions...

a = s2 + t2 + u2 + v2 and b = s + t + u + v. Pollock's conjectures Waring's problem Heath (1910). Bell, Eric Temple (1956), "Gauss, the Prince of Mathematicians"...

Synthetic geometry Tautochrone curve Unifying theories in mathematics Waring's problem Warsaw School of Mathematics Lowndean Professor of Astronomy and Geometry...

powers, or 37 or fewer fifth powers (and 19 or fewer fourth powers; see Waring's problem). 73 and 37 are consecutive primes in the seven-integer covering set...

13792 can be expressed as the sum of at most 16 fourth powers (see Waring's problem). Fermat knew that a fourth power cannot be the sum of two other fourth...

number of fourth powers needed to sum up to any natural number (see, Waring's problem). It is the number of compositions of 8 into distinct parts. 19 is...

Waring's problem". Izv. Akad. Nauk SSSR, Ser. Math. 49 (5): 935–947. G. I. Archipov, A. A. Karatsuba (1987). "A multidimensional analogue of Waring's...

merely determining whether one exists. A variant of this problem related to Waring's problem asks for representations as sums of three cubes of non-negative...

be expressed as a sum of even fewer k-th powers. In connection with Waring's problem, every sufficiently large integer can be represented as a sum of at...

all even numbers greater than two, where ℙ is the set of primes) and Waring's problem (which asks how large must h be to guarantee that hAk contains all...

theorem and the two-square theorem of Girard, Fermat and Euler, the Waring's problem for k = 2 is entirely solved. The "only if" of the theorem is simply...

Edward Waring (c. 1736–1798), British mathematician and eponym of Waring's Problem Eddie Waring (1910–1986), British sports commentator Edmund Waring (c....

Vinogradov to deduce the ideal Waring theorem in his investigations of additive number theory. He proved the Waring's problem for k ≥ 7 {\displaystyle k\geq...

{\displaystyle \sum _{i=1}^{n}a_{i}^{k}=\sum _{j=1}^{m}b_{j}^{k}.} Waring's problem asks whether for every natural number k there exists an associated...

and a Lester Randolph Ford Award for his article "Waring's Problem“, an exposition of Waring's problem with Fern Ellison: Prime Numbers (Les nombres premiers...

Cambridge. Her thesis work, supervised by Ben Joseph Green, concerned Waring's problem. She then taught at Cambridge while being Director of Studies in mathematics...

Skolem problem: can an algorithm determine if a constant-recursive sequence contains a zero? The values of g(k) and G(k) in Waring's problem Do the Ulam...

additive basis of order k {\displaystyle k} . Similarly, the solutions to Waring's problem imply that the k {\displaystyle k} th powers are an additive basis...

positive integer is the sum of four squares. See Waring's problem and the related Waring–Goldbach problem on sums of powers of primes. Hardy and Littlewood...

by correspondence, covered fields in Diophantine approximation and Waring's problem, in particular. In his other work, he collaborated with Raymond Paley...

Euler's conjecture: Euler's sum of powers conjecture Euler's conjecture (Waring's problem) Euler's Graeco-Latin square conjecture This disambiguation page lists...