Tao Zhan

Sums of five almost equal prime squares II

AbstractIt is proved that every large integerN≡5 (mod 24) can be written as

On sums of five almost equal prime squares

N = p_1^2 + ... + p_5^2

The ternary Goldbach problem in arithmetic progressions

with each primepj satisfying

Hua's Theorem on Prime Squares in Short Intervals

|p_j - \sqrt {N/5} | \leqslant N^{\frac{{12}}{{25}} + E}

Distribution of integers that are sums of three squares of primes

, which gives a short interval version of a classical theorem of Hua.