The High Court is hearing two applications for permission to challenge the result of last month's referendum on repealing the Eighth Amendment.
One of the applicants, Charles Byrne, has claimed certain public statements by Taoiseach Leo Varadkar and Minister for Health Simon Harris misled and misinformed voters and questioned the credibility of those opposed to repeal.
Lawyers for Mr Byrne, a piano teacher and musician from College Rise, Drogheda in County Louth, told the court such statements included one by the Taoiseach claiming the only way to allow abortion for life-limiting conditions was by repealing the amendment.
They claimed the Government was not entitled to advocate against the right to life of the unborn as provided for in the amendment.
Mr Byrne also claims the Referendum Commission failed to fully and properly explain in ordinary language the legal impact of a Yes vote.
He claims people were excluded from the register, that two polling cards were issued to the same person, that people who were permanently living abroad voted when they were not entitled to do so and excess numbers of people were registered to vote.
He says tallies from volunteers suggested turnout of more than 100% in some areas.
The court is also hearing an application to bring a petition by Joanna Jordan, a homemaker from Upper Glenageary Road in Dún Laoghaire.
The legislation requires that before a petition challenging the result of a referendum can be brought, a petitioner, must show prima facie evidence of matters that could have "materially" affected the outcome.
