The paper proves a square-root-of-logarithm improvement over Balog and Ruzsa's lower bounds for L1 norms of exponential sums on squarefree integers, plus new prime-supported bounds, and a flawed new proof of Vaughan's theorem.
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Linnik's large sieve and the $L^{1}$ norm of exponential sums
The paper proves a square-root-of-logarithm improvement over Balog and Ruzsa's lower bounds for L1 norms of exponential sums on squarefree integers, plus new prime-supported bounds, and a flawed new proof of Vaughan's theorem.