### The prime geodesic theorem in square mean

Heilbronn Number Theory Seminar

23rd May 2018, 4:00 pm – 5:00 pm

Howard House, 4th Floor Seminar Room

I will bound the square mean of the error term in the prime geodesic theorem for PSL(2,Z). The results are based on the recent work of Cherubini and Guerreiro, and more recent joint work with Balog, Biró, and Maga.

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