9 citations · 22 across the 11 of their papers we have counts for
5 papers · 1 filter
On the prime geodesic theorem for hyperbolic 3-manifolds
Muharem Avdispahić
Through the Selberg zeta approach, we reduce the exponent in the error term of the prime geodesic theorem for cocompact Kleinian groups or Bianchi groups from Sarnak's $\frac{5}{3}…
on . A short proof
Muharem Avdispahić
Taking the Iwaniec explicit formula as a starting point, we give a short proof of a more precise bound for the exponent in the error term of the Gallagher-type prime…
Prime geodesic theorem for the modular surface
Muharem Avdispahić
Under the generalized Lindelöf hypothesis, the exponent in the error term of the prime geodesic theorem for the modular surface is reduced to outside a s…
Prime geodesic theorem of Gallagher type
Muharem Avdispahić
We reduce the exponent in the error term of the prime geodesic theorem for compact Riemann surfaces from to outside a set of finite logarithmic measure…
On Koyama's refinement of the prime geodesic theorem
Muharem Avdispahić
We give a new proof of the best presently known error term in the prime geodesic theorem for compact Riemann surfaces, without the assumption of excluding a set of finite logarithm…