On the Waring–Goldbach Problem for Fourth and Fifth Powers
By K. Kawada, Trevor D. Wooley. 2001
83 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/932bad2711889d9cd9a714db57b706079a8127a1
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In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
Citations in the corpus
- On the Waring–Goldbach problem for fourth and sixth powers (2014, methodology): “Kawada and Wooley [10] described a new method in this topic, and they obtained improvement on the bounds for H(4) and H(5) by developing new estimates for exponential sums over prime numbers.”
- On Weyl sums over primes and almost primes (2006, unknown): “This was proven by Kawada and Wooley [11] in the case k ≥ 4 and by Wooley [29] in the case k = 3.”
- Waring's problem: A survey (2002, background): “We nish our discussion of Waring's problem for cubes by noting that, while Dickson (1939) was able to show that 23 and 239 are the only positive integers not represented as the sum of eight cubes of natural numbers, no such conclusion is yet available for sums of seven or fewer cubes (but see McCurl”