During a recent Jumuah prayer I heard a hadeeth about Abu Hurairah (RAA)
Abu Huraira reported: He met the Messenger of Allah, peace and blessings be upon him, in the road of Medina while he was in a state of impurity. He slipped away and left to take a bath, then he returned. The Prophet said, “O Abu Huraira, where were you?” He said, “I was in a state of impurity and I disliked to sit with you while I am not pure.” The Prophet said, “Glory be to Allah. Verily, the Muslim is not impure.”
Source: Sahih Bukhari 279, Sahih Muslim 371
Immediately after this, the Imam also quoted another hadith where the wife of the Messenger (SAWS), Ayesha (RAA) is reported to have said that the Messenger (SAWS) would always be doing dhikr of Allah, which the Imam said, implied that the Messenger (SAWS) would even be doing dhikr in the state of janaba.
The Imam was implying that a woman can also read the Qur'an during her menses. Can somebody throw some more light on this, specifically:
Can a woman recite the Qur'an from memory during the menses?
Can she touch the mushaf while she is in that state and even recite from it?
If the answer to (2) above is no, can she read the Qur'an off her smartphone, where she can "turn" the page by touching the screen?