Prime geodesic theorem
Journal de Théorie des Nombres de Bordeaux, Tome 14 (2002) no. 1, pp. 59-72.

Soit Γ=PSL(2,Z). On démontre que π Γ (x)=lix+O(x 71 102+ϵ ),ϵ>0 où l’exposant 71 102 améliore l’exposant 7 10 précédemment obtenu par W. Z. Luo et P. Sarnak.

Let Γ denote the modular group PSL(2,Z). In this paper it is proved that π Γ (x)=lix+O(x 71 102+ϵ ),ϵ>0. The exponent 71 102 improves the exponent 7 10 obtained by W. Z. Luo and P. Sarnak.

@article{JTNB_2002__14_1_59_0,
     author = {Cai, Yingchun},
     title = {Prime geodesic theorem},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
     pages = {59--72},
     publisher = {Universit\'e Bordeaux I},
     volume = {14},
     number = {1},
     year = {2002},
     doi = {10.5802/jtnb.346},
     zbl = {1028.11030},
     mrnumber = {1925990},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.346/}
}
Yingchun Cai. Prime geodesic theorem. Journal de Théorie des Nombres de Bordeaux, Tome 14 (2002) no. 1, pp. 59-72. doi : 10.5802/jtnb.346. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.346/

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