On some special Legendre sums of the form

[1] T. Andreescu, D. Andrica, Number Theory. Structures, Examples, and Problems, Birkhauser Verlag, Boston-Berlin-Basel, 2009.Search in Google Scholar

[2] E. A. Grechnikov, An estimate for the sum of Legendre symbols, E.A. Math Notes (2010) 88: 819.10.1134/S0001434610110222Open DOISearch in Google Scholar

[3] B. Karaivanov, On certain sums involving the Legendre symbol, INTE- GERS nr. 16, 2016.Search in Google Scholar

[4] N. M. Korobov, Estimate of the sum of Legendre symbols, Dokl. Akad. Nauk SSSR,196, No. 4, 764767 (1971).Search in Google Scholar

[5] D.A. Mit'kin Estimate of a sum of Legendre symbols of polynomials of even degree, Mathematical notes of the Academy of Sciences of the USSR, July 1973, Volume 14, Issue 1, pp 597-602.10.1007/BF01095777Search in Google Scholar

[6] A. Weil, Sur les courbes algèbriques et les variètès qui sen dèduisent, Actualitès Sci. Ind. (Hermann et Cie., Paris, 1948), Vol. 1041.Search in Google Scholar