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Volumn 179, Issue 1, 1997, Pages 163-178

Primitive lattice points in starlike planar sets

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EID: 0009440226     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1997.179.163     Document Type: Article
Times cited : (14)

References (22)
  • 2
    • 0001404697 scopus 로고
    • The square-free divisor problem
    • R.C. Baker, The square-free divisor problem, Quart. J. Math. Oxford, 45 (1994), 269-277.
    • (1994) Quart. J. Math. Oxford , vol.45 , pp. 269-277
    • Baker, R.C.1
  • 4
    • 0038860169 scopus 로고
    • Über die verteilung der Pythagoräischen dreiecke
    • J. Duttlinger and W. Schwarz, Über die Verteilung der Pythagoräischen Dreiecke, Colloquium Math., 43 (1980), 365-372.
    • (1980) Colloquium Math. , vol.43 , pp. 365-372
    • Duttlinger, J.1    Schwarz, W.2
  • 5
    • 84972567907 scopus 로고
    • The number of lattice points within a contour and visible from the origin
    • D. Hensley, The number of lattice points within a contour and visible from the origin, Pacific J. Math., 166 (1994), 295-304.
    • (1994) Pacific J. Math. , vol.166 , pp. 295-304
    • Hensley, D.1
  • 6
    • 84963025636 scopus 로고
    • Exponential sums and lattice points II
    • M.N. Huxley, Exponential sums and lattice points II, Proc London Math. Soc., 66 (1993), 279-301.
    • (1993) Proc London Math. Soc. , vol.66 , pp. 279-301
    • Huxley, M.N.1
  • 7
    • 0030458338 scopus 로고    scopus 로고
    • Primitive lattice points in convex planar domains
    • M.N. Huxley and W.G. Nowak, Primitive lattice points in convex planar domains, Acta Arithm., 76 (1996), 271-283.
    • (1996) Acta Arithm. , vol.76 , pp. 271-283
    • Huxley, M.N.1    Nowak, W.G.2
  • 8
    • 0004024987 scopus 로고
    • J. Wiley & Sons, New York and Chichester
    • A. Ivić, The Riemann Zeta-function, J. Wiley & Sons, New York and Chichester, 1985.
    • (1985) The Riemann Zeta-function
    • Ivić, A.1
  • 9
    • 0001814411 scopus 로고
    • Bemerkungen zu einem, gitterpunktproblem
    • E. Krätzel, Bemerkungen zu einem, Gitterpunktproblem, Math. Ann., 179 (1969), 90-96.
    • (1969) Math. Ann. , vol.179 , pp. 90-96
    • Krätzel, E.1
  • 10
    • 0002349349 scopus 로고
    • Mittlere darstellungen natürlicher zahlen als differenz zweier k-ter potenzen
    • _, Mittlere Darstellungen natürlicher Zahlen als Differenz zweier k-ter Potenzen, Acta Arithm., 16 (1969), 111-121.
    • (1969) Acta Arithm. , vol.16 , pp. 111-121
  • 11
    • 0004199804 scopus 로고
    • Dt. Verl. d. Wiss., Berlin
    • _, Lattice Points, Dt. Verl. d. Wiss., Berlin, 1988.
    • (1988) Lattice Points
  • 12
    • 0009565203 scopus 로고
    • On the distribution of Pythagorean triangles
    • J. Lambek and L. Moser, On the distribution of Pythagorean triangles, Pacific J. Math., 5 (1955), 73-83.
    • (1955) Pacific J. Math. , vol.5 , pp. 73-83
    • Lambek, J.1    Moser, L.2
  • 14
    • 0000685754 scopus 로고
    • The distribution of squarefree numbers
    • Recent Progress in Analytic Number Theory H. Halberstam and C. Hooley, Editors, Academic Press, London
    • H.L. Montgomery and R.C. Vaughan, The distribution of squarefree numbers, in "Recent Progress in Analytic Number Theory", Proc. Durham Symp. 1979, Vol. I, (H. Halberstam and C. Hooley, Editors), Academic Press, London, (1981), 247-256.
    • (1981) Proc. Durham Symp. 1979 , vol.1 , pp. 247-256
    • Montgomery, H.L.1    Vaughan, R.C.2
  • 15
    • 0002876531 scopus 로고
    • On the number of primitive lattice points in plane domains
    • B.Z. Moroz, On the number of primitive lattice points in plane domains, Monatsh. Math., 99 (1985), 37-43.
    • (1985) Monatsh. Math. , vol.99 , pp. 37-43
    • Moroz, B.Z.1
  • 16
    • 0000559718 scopus 로고
    • Lattice points in planar domains: Applications of Huxley's "discrete Hardy-Littlewood method"
    • "Number theoretic analysis ", Seminar Vienna 1988-89, eds. E. Hlawka and R. F. Tichy
    • W. Müller and W.G. Nowak, Lattice points in planar domains: Applications of Huxley's "Discrete Hardy-Littlewood method", in: "Number theoretic analysis ", Seminar Vienna 1988-89, Springer Lecture Notes, 1452 (eds. E. Hlawka and R. F. Tichy), (1990), 139-164.
    • (1990) Springer Lecture Notes , vol.1452 , pp. 139-164
    • Müller, W.1    Nowak, W.G.2
  • 17
    • 4244212943 scopus 로고
    • On the number of primitive Pythagorean triangles
    • Québec
    • W. Müller, W.G. Nowak and H. Menzer, On the number of primitive Pythagorean triangles, Ann. Sci. Math., Québec, 12 (1988), 263-273.
    • (1988) Ann. Sci. Math. , vol.12 , pp. 263-273
    • Müller, W.1    Nowak, W.G.2    Menzer, H.3
  • 18
    • 0040045058 scopus 로고
    • A non-convex generalization of the circle problem
    • W.G. Nowak, A non-convex generalization of the circle problem, J. Reine Angew. Math., 314 (1980), 136-145.
    • (1980) J. Reine Angew. Math. , vol.314 , pp. 136-145
    • Nowak, W.G.1
  • 20
    • 84966240508 scopus 로고
    • Conditional asymptotic formulae for a class of arithmetic functions
    • W.G. Nowak and M. Schmeier, Conditional asymptotic formulae for a class of arithmetic functions, Proc. Amer. Math. Soc., 103 (1988), 713-717.
    • (1988) Proc. Amer. Math. Soc. , vol.103 , pp. 713-717
    • Nowak, W.G.1    Schmeier, M.2
  • 21
    • 0004277722 scopus 로고
    • Springer Verlag, Berlin-Heidelberg-New York
    • K. Prachar, Primzahlverteilung, Springer Verlag, Berlin-Heidelberg-New York, 1957.
    • (1957) Primzahlverteilung
    • Prachar, K.1
  • 22
    • 0009627083 scopus 로고
    • On the number of primitive Pythagorean triangles with area less than n
    • R.E. Wild, On the number of primitive Pythagorean triangles with area less than n, Pacific J. Math., 5 (1955), 85-91.
    • (1955) Pacific J. Math. , vol.5 , pp. 85-91
    • Wild, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.