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- W2964247680 abstract "We estimate the deviation of the number of solutions of the congruence m 2 − n 2 ≡ c ( mod q ) , 1 ⩽ m ⩽ M , 1 ⩽ n ⩽ N , from its expected value on average over c = 1 , … , q . This estimate is motivated by the connection, recently established by D.R. Heath-Brown, between the distribution of solution to this congruence and the pair correlation problem for the fractional parts of the quadratic function α k 2 , k = 1 , 2 , … with a real α ." @default.
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- W2964247680 date "2011-06-01" @default.
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- W2964247680 title "On small solutions to quadratic congruences" @default.
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- W2964247680 doi "https://doi.org/10.1016/j.jnt.2010.12.002" @default.
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