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arxiv: 1402.0811 · v3 · pith:5CNSXC4Xnew · submitted 2014-02-04 · 🧮 math.NT

New equidistribution estimates of Zhang type

classification 🧮 math.NT
keywords distributionestimatesfracarithmeticchineseclassesconditionscongruence
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We prove distribution estimates for primes in arithmetic progressions to large smooth squarefree moduli, with respect to congruence classes obeying Chinese Remainder Theorem conditions, obtaining an exponent of distribution $\frac{1}{2} + \frac{7}{300}$.

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