Bibliographic Details
| Title: |
On Koyama's refinement of the prime geodesic theorem. |
| Authors: |
AVDISPAHIĆ, Muharem1 |
| Source: |
Proceedings of the Japan Academy, Series A: Mathematical Sciences. Mar2018, Vol. 94 Issue 3, p21-24. 4p. |
| Subjects: |
Mathematics theorems, Integral theorems, Hyperbolic differential equations, Partial differential equations, Conservation laws (Mathematics) |
| Abstract: |
We give a new proof of the best presently-known error term in the prime geodesic theorem for compact hyperbolic surfaces, without the assumption of excluding a set of finite logarithmic measure. Stronger implications of the Gallagher-Koyama approach are derived, yielding to a further reduction of the error term outside a set of finite logarithmic measure. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
