A power-saving upper bound is obtained for the second moment of short-interval sums of Legendre symbols modulo primes near Q, valid whenever the interval length h grows to infinity with Q.
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Large sieve inequality for sums of Legendre symbols over short intervals
A power-saving upper bound is obtained for the second moment of short-interval sums of Legendre symbols modulo primes near Q, valid whenever the interval length h grows to infinity with Q.