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Volumn , Issue 53, 2004, Pages 2823-2836

Lattice points in cones and Dirichlet series

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EID: 8744283808     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792804133709     Document Type: Article
Times cited : (5)

References (20)
  • 1
    • 84971172612 scopus 로고
    • Units of indefinite quaternion algebras
    • J. H. H. Chalk, Units of indefinite quaternion algebras, Proc. Roy. Soc. Edinburgh Sect. A 87 (1980/81), no. 1-2, 111-126.
    • (1980) Proc. Roy. Soc. Edinburgh Sect. A , vol.87 , Issue.1-2 , pp. 111-126
    • Chalk, J.H.H.1
  • 2
    • 52449142049 scopus 로고
    • Some problems of Diophantine approximation: The lattice-points of a right-angled triangle. II
    • G. H. Hardy and J. E. Littlewood, Some problems of Diophantine approximation: the lattice-points of a right-angled triangle. II, Abh. Math. Sem. Univ. Hamburg 1 (1922), 212-249.
    • (1922) Abh. Math. Sem. Univ. Hamburg , vol.1 , pp. 212-249
    • Hardy, G.H.1    Littlewood, J.E.2
  • 3
    • 0009124842 scopus 로고
    • Some problems of Diophantine approximation: The analytic properties of certain Dirichlet's series associated with the distribution of numbers to modulus unity
    • -, Some problems of Diophantine approximation: the analytic properties of certain Dirichlet's series associated with the distribution of numbers to modulus unity, Cambr. Trans. 22 (1923), no. 27, 519-534.
    • (1923) Cambr. Trans. , vol.27 , Issue.27 , pp. 519-534
  • 4
    • 52449135807 scopus 로고
    • Über analytische funktionen und die verteilung von zahlen mod. eins
    • German
    • E. Hecke, Über analytische Funktionen und die Verteilung von Zahlen mod. eins, Abh. Math. Sem. Univ. Hamburg 1 (1921), 54-76 (German).
    • (1921) Abh. Math. Sem. Univ. Hamburg , Issue.1 , pp. 54-76
    • Hecke, E.1
  • 6
    • 8744261108 scopus 로고
    • Some Dirichlet series with coefficients related to periods of automorphic eigenforms
    • -, Some Dirichlet series with coefficients related to periods of automorphic eigenforms, Proc. Japan Acad. Ser. A Math. Sci. 58 (1982), no. 9, 413-417.
    • (1982) Proc. Japan Acad. Ser. A Math. Sci. , vol.58 , Issue.9 , pp. 413-417
  • 7
    • 8744271669 scopus 로고
    • Some Dirichlet series with coefficients related to periods of automorphic eigenforms. II
    • -, Some Dirichlet series with coefficients related to periods of automorphic eigenforms. II, Proc. Japan Acad. Ser. A Math. Sci. 59 (1983), no. 7, 335-338.
    • (1983) Proc. Japan Acad. Ser. A Math. Sci. , vol.59 , Issue.7 , pp. 335-338
  • 8
    • 0000899721 scopus 로고
    • A classical approach to a well-known spectral correspondence on quaternion groups
    • (New York, -84), Lecture Notes in Math., Springer, Berlin
    • -, A classical approach to a well-known spectral correspondence on quaternion groups, Number Theory (New York, 1983-84), Lecture Notes in Math., vol. 1135, Springer, Berlin, 1985, pp. 127-196.
    • (1983) Number Theory , vol.1135 , pp. 127-196
  • 9
    • 0000470646 scopus 로고
    • Continued fractions and density results for Dedekind sums
    • D. Hickerson, Continued fractions and density results for Dedekind sums, J. reine angew. Math. 290 (1977), 113-116.
    • (1977) J. Reine Angew Math. , vol.290 , pp. 113-116
    • Hickerson, D.1
  • 10
    • 4444358916 scopus 로고    scopus 로고
    • Graduate Studies in Mathematics 53, American Mathematical Society, Rhode Island
    • H. Iwaniec, Spectral Methods of Automorphic Forms, 2nd ed., Graduate Studies in Mathematics, vol. 53, American Mathematical Society, Rhode Island, 2003.
    • (2003) Spectral Methods of Automorphic Forms, 2nd Ed.
    • Iwaniec, H.1
  • 11
    • 0010592293 scopus 로고
    • Lecture Notes in Mathematics, Springer-Verlag, Berlin
    • H. Jacquet and R. P. Langlands, Automorphic Forms on GL(2), Lecture Notes in Mathematics, vol. 114, Springer-Verlag, Berlin, 1970.
    • (1970) Automorphic Forms on GL(2) , vol.114
    • Jacquet, H.1    Langlands, R.P.2
  • 12
    • 0003918560 scopus 로고
    • Dover Publications, New York, with a Preface by B. V. Gnedenko. Translated from the third Russian edition
    • A. Ya. Khinchin, Continued Fractions, Dover Publications, New York, 1997, with a Preface by B. V. Gnedenko. Translated from the third (1961) Russian edition.
    • (1961) Continued Fractions
    • Khinchin, Ya.A.1
  • 13
    • 0037248070 scopus 로고    scopus 로고
    • Functoriality for the exterior square of GL4 and the symmetric fourth of GL2
    • with Appendix 1 by D. Ramakrishnan and Appendix 2 by H. H. Kim and P. Sarnak
    • H. H. Kim, Functoriality for the exterior square of GL4 and the symmetric fourth of GL2, J. Amer. Math. Soc. 16 (2003), no. 1, 139-183, with Appendix 1 by D. Ramakrishnan and Appendix 2 by H. H. Kim and P. Sarnak.
    • (2003) J. Amer. Math. Soc. , vol.16 , Issue.1 , pp. 139-183
    • Kim, H.H.1
  • 14
    • 0040253077 scopus 로고
    • Über die räumliche verteilung der punkte in gittern mit indefiniter metrik
    • German
    • H. Maass, Über die räumliche Verteilung der Punkte in Gittern mit indefiniter Metrik, Math. Ann. 138 (1959), 287-315 (German).
    • (1959) Math. Ann. , vol.138 , pp. 287-315
    • Maass, H.1
  • 15
    • 84956238657 scopus 로고
    • Rational approximations to algebraic numbers
    • corrigendum, 168
    • K. F. Roth, Rational approximations to algebraic numbers, Mathematika 2 (1955), 1-20; corrigendum, 168.
    • (1955) Mathematika , vol.2 , pp. 1-20
    • Roth, K.F.1
  • 16
    • 0001743035 scopus 로고
    • Bounds for eigenfunctions of differential operators
    • A. Seeger and C. D. Sogge, Bounds for eigenfunctions of differential operators, Indiana Univ. Math. J. 38 (1989), no. 3, 669-682.
    • (1989) Indiana Univ. Math. J. , vol.38 , Issue.3 , pp. 669-682
    • Seeger, A.1    Sogge, C.D.2
  • 17
    • 0345926916 scopus 로고
    • Über die zetafunktionen indefiniter quadratischer formen
    • German
    • C. L. Siegel, Über die Zetafunktionen indefiniter quadratischer Formen, Math. Z. 43 (1938), 682-708 (German).
    • (1938) Math. Z. , vol.43 , pp. 682-708
    • Siegel, C.L.1
  • 18
    • 0004094659 scopus 로고
    • Notes by S. Raghavan. Tata Institute of Fundamental Research Lectures on Mathematics, no. 23, Tata Institute of Fundamental Research, Bombay
    • -, Lectures on Advanced Analytic Number Theory, Notes by S. Raghavan. Tata Institute of Fundamental Research Lectures on Mathematics, no. 23, Tata Institute of Fundamental Research, Bombay, 1965.
    • (1965) Lectures on Advanced Analytic Number Theory
  • 19
    • 0347156350 scopus 로고    scopus 로고
    • Some remarks on a spectral correspondence for Maass waveforms
    • A. Strömbergsson, Some remarks on a spectral correspondence for Maass waveforms, Int. Math. Res. Not. 2001 (2001), no. 10, 505-517.
    • (2001) Int. Math. Res. Not. , vol.2001 , Issue.10 , pp. 505-517
    • Strömbergsson, A.1
  • 20
    • 0004274911 scopus 로고
    • Wolters-Noordhoff Publishing, Groningen, translated from Russian and edited by Helen Alderson
    • B. A. Venkov, Elementary Number Theory, Wolters-Noordhoff Publishing, Groningen, 1970, translated from Russian and edited by Helen Alderson.
    • (1970) Elementary Number Theory
    • Venkov, B.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.