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...

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...

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

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...

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...

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

of Sciences was Hua Luogeng. His work on the twin prime conjecture, Waring's problem, Goldbach's conjecture and Legendre's conjecture led to progress in...

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...

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...

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...

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...

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...

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

applications of exponential sums. He has made significant breakthroughs on Waring's problem, for which he was awarded the Salem Prize in 1998. Wooley read mathematics...

{\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...

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"...

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

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...

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

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...

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...

and Waring's problem under L. E. Dickson. In 1932 he was a awarded a Ph.D. on the strength of his dissertation Analytical Investigations of Waring's Theorem...

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...

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...

1909.136.303, S2CID 199546790. The first three papers are related to Waring's problem. His fourth paper led to the term Wieferich prime, which are p such...

theory. This (along with much else) led to quantitative progress on Waring's problem, as part of the Hardy–Littlewood circle method, as it became known...

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...