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- W3021997091 abstract "Abstract We provide a new proof of Hua's result that every sufficiently large integer N ≡ 5 (mod 24) can be written as the sum of the five prime squares. Hua's original proof relies on the circle method and uses results from the theory of L -functions. Here, we present a proof based on the transference principle first introduced in[5]. Using a sieve theoretic approach similar to ([10]), we do not require any results related to the distributions of zeros of L - functions. The main technical difficulty of our approach lies in proving the pseudo-randomness of the majorant of the characteristic function of the W -tricked primes which requires a precise evaluation of the occurring Gaussian sums and Jacobi symbols." @default.
- W3021997091 created "2020-05-13" @default.
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- W3021997091 date "2020-03-01" @default.
- W3021997091 modified "2023-09-26" @default.
- W3021997091 title "An L-function free proof of Hua's Theorem on sums of five prime squares" @default.
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- W3021997091 doi "https://doi.org/10.1556/012.2020.57.1.1456" @default.
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