Geodesic
Sums of Three Prime Squares
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 549-558 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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Let $A, \epsilon > 0$ be arbitrary. Suppose that $x$ is a sufficiently large positive number. We prove that the number of integers $n \in (x, x+x^\theta]$, satisfying some natural congruence conditions, which cannot be written as the sum of three squares of primes is $\ll x^\theta(\log x)^{-A}$, provided that $\frac{7}{16} + \epsilon \leq \theta \leq 1$. 
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     author = {Mikawa, Hiroshi and Peneva, Temenoujka},
     title = {Sums of {Three} {Prime} {Squares}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {549--558},
     year = {2007},
     volume = {Ser. 8, 10B},
     number = {3},
     zbl = {1177.11086},
     mrnumber = {2351527},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a3/}
}
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Mikawa, Hiroshi; Peneva, Temenoujka. Sums of Three Prime Squares. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 549-558. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a3/