Anirudh appeared before the inspector of the Race Course Road police station here around 11 PM yesterday and submitted a two-page statement, reiterating his stand that he was not the composer of the song, police said.
In a WhatsApp message, Anirudh said, "As required I have reported to the police in Coimbatore in person and given my statement."
Acting on a complaint of the All India Democratic Women Association that the song allegedly contained vulgar lyrics denigrating women, police had registered an FIR and issued summons last month, asking the two to appear before them on December 19, but Simbu had sought a month's time.
However, their pleas were rejected and fresh summons were issued asking them to appear before police on January 2.
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On January 2, Anirudh had sought 15 days extension of time to appear, saying he was in London after a concert in Canada dedicated to flood victims of Chennai.
He had said he would return to India in the second week of January and would report before police as soon as possible.
A separate case has also been registered by Chennai Police against the two in connection with the song.