메뉴 건너뛰기




Volumn 42, Issue 1-2, 2001, Pages 191-198

On the distribution of Farey fractions and hyperbolic lattice points

Author keywords

Farey fractions; Hyperbolic geometry; Lattice point problem; Selberg trace formula

Indexed keywords


EID: 0742311123     PISSN: 00315303     EISSN: 15882829     Source Type: Journal    
DOI: 10.1023/a:1015265111453     Document Type: Article
Times cited : (12)

References (12)
  • 1
    • 84941489625 scopus 로고
    • On certain exponential sums
    • H. DAVENPORT, On certain exponential sums, Journal für Math. 169 (1933), 158-176.
    • (1933) Journal für Math. , vol.169 , pp. 158-176
    • Davenport, H.1
  • 5
    • 0001742489 scopus 로고    scopus 로고
    • Asymptotic distribution of the distance function to the Farey points
    • P. P. KARGAEV AND A. A. ZHIGLJAVSKY, Asymptotic distribution of the distance function to the Farey points, Journal of Number Theory 65 (1997), 130-149.
    • (1997) Journal of Number Theory , vol.65 , pp. 130-149
    • Kargaev, P.P.1    Zhigljavsky, A.A.2
  • 6
    • 84971942343 scopus 로고
    • A lattice point problem in hyperbolic space
    • S. J. PATTERSON, A lattice point problem in hyperbolic space, Mathematika 22 (1975), 81-88.
    • (1975) Mathematika , vol.22 , pp. 81-88
    • Patterson, S.J.1
  • 7
    • 0001770692 scopus 로고
    • Über die Kloostermanschen Summen
    • H. SALIÉ, Über die Kloostermanschen Summen, Math. Zeitschrift 34 (1931), 91-109.
    • (1931) Math. Zeitschrift , vol.34 , pp. 91-109
    • Salié, H.1
  • 8
    • 0040211523 scopus 로고
    • Zur Abschätzung der Fourierkoeffizienten ganzer Modulformen
    • H. SALIÉ, Zur Abschätzung der Fourierkoeffizienten ganzer Modulformen, Math. Zeitschrift 36 (1932), 263-278.
    • (1932) Math. Zeitschrift , vol.36 , pp. 263-278
    • Salié, H.1
  • 11
    • 0001303344 scopus 로고
    • On some exponential sums
    • A. WEIL, On some exponential sums, Proc. Nat. Acad. Sci. USA 34 (1948), 204-207.
    • (1948) Proc. Nat. Acad. Sci. USA , vol.34 , pp. 204-207
    • Weil, A.1
  • 12
    • 0040707410 scopus 로고    scopus 로고
    • Weyl Sequences: Asymptotic Distributions of the Partition Lengths
    • A. A. ZHIGLJAVSKY AND I. ALIEV, Weyl Sequences: Asymptotic Distributions of the Partition Lengths, Acta Arithmetica LXXXVIII (1999), 351-361.
    • (1999) Acta Arithmetica , vol.88 , pp. 351-361
    • Zhigljavsky, A.A.1    Aliev, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.