9 citations · 22 across the 11 of their papers we have counts for
13 papers
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…
Strong boundedness, strong convergence and generalized variation
Muharem Avdispahić, Zenan Šabanac
A trigonometric series strongly bounded at two points and with coefficients forming a log-quasidecreasing sequence is necessarily the Fourier series of a function belonging to all…
Order of zeta functions for compact even-dimensional symmetric spaces
M. Avdispahić, Dž. Gušić, D. Kamber
Some zeta functions which are naturally attached to the locally homogeneous vector bundles over compact locally symmetric spaces of rank one are investigated. We prove that such fu…
Determination of a jump by Fourier and Fourier-Chebyshev series
Muharem Avdispahić, Zenan Šabanac
By observing the equivalence of assertions on determining the jump of a function by its differentiated or integrated Fourier series, we generalize a previous result of Kvernadze, H…
Zeta functions and subgroup growth in
Hermina Alajbegović, Muharem Avdispahić
By means of zeta and normal zeta functions of space groups, we determine the number of subgroups, resp. normal subgroups, of the tenth crystallographic group for any given index. T…
Zeta and normal zeta functions for a subclass of space groups
Hermina Alajbegović, Muharem Avdispahić
We calculate zeta and normal zeta functions of space groups with the point group isomorphic to the cyclic group of order 2. The obtained results are applied to determine the number…
Order of zeta functions for compact odd-dimensional locally symmetric spaces
Muharem Avdispahic, Dzenan Gusic
We prove that the meromorphic continuations of the Ruelle and Selberg zeta functions considered by Bunke and Olbrich are of finite order not larger than the dimension of the underl…
On the logarithmic derivative of zeta functions for compact even-dimensional locally symmetric spaces
Muharem Avdispahic, Dzenan Gusic
We derive approximate formulas for the logarithmic de- rivative of the Selberg and Ruelle zeta functions over compact, even- dimensional, locally symmetric spaces of rank one. The…
Distribution of the zeta functions singularities for compact even-dimensional locally symmetric spaces
Muharem Avdispahic, Dzenan Gusic
For compact, even-dimensional, locally symmetric spaces, we obtain precise estimates on the number of singularities of Selberg's and Ruelle's zeta functions considered by U. Bunke…