Let be a prime, and let be the Legendre symbol. Let and . We mainly prove that
where is the number of positive integers with , and with is the least nonnegative residue of modulo .
Accepted:
Published online:
Qing-Hu Hou 1; Hao Pan 2; Zhi-Wei Sun 3
@article{CRMATH_2022__360_G9_1065_0, author = {Qing-Hu Hou and Hao Pan and Zhi-Wei Sun}, title = {A new theorem on quadratic residues modulo primes}, journal = {Comptes Rendus. Math\'ematique}, pages = {1065--1069}, publisher = {Acad\'emie des sciences, Paris}, volume = {360}, year = {2022}, doi = {10.5802/crmath.371}, language = {en}, }
Qing-Hu Hou; Hao Pan; Zhi-Wei Sun. A new theorem on quadratic residues modulo primes. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1065-1069. doi : 10.5802/crmath.371. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.371/
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