Erratum: Arithmetic correlations over large finite fields (International Mathematics Research Notices DOI: 10.1093/imrn/rnv157)

© The Author(s) 2018. It was brought to our attention that Theorem 1.3 and Theorem 1.4 and Corollary 1.5 as stated are not completely accurate. There is furthermore a minor correction to equation (65) and (76) which will lead to a minor change in the statement of Theorem 4.2 and the statement of Theorem 4.4. We owe these observations to Ofir Gorodetsky and are most grateful to him for pointing them out. (Formula Presented).