1 Corinthians 11:6
New American Standard Bible:
For if a woman does not cover her head, let her also have her hair cut off; but if it is disgraceful for a woman to have her hair cut off or her head shaved, let her cover her head.
King James Bible
For if the woman be not covered, let her also be shorn: but if it be a shame for a woman to be shorn or shaven, let her be covered.
1 Corinthians 11:7
A man ought not to cover his head, since he is the image and glory of God; but the woman is the glory of man.
In the Quran there is no such requirement except that of dressing modestly.