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Volumn 2010, Issue 1, 2010, Pages 69-86

Classical metric diophantine approximation revisited: The Khintchine-Groshev theorem

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EID: 73949121182     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1093/imrn/rnp119     Document Type: Article
Times cited : (65)

References (14)
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    • Beresnevich, V., and S. Velani. "A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures." Annals of Mathematics 164, no.3 (2006): 971-992
    • (2006) Annals of Mathematics , vol.164 , Issue.3 , pp. 971-992
    • Beresnevich, V.1    Velani, S.2
  • 5
    • 67650718472 scopus 로고    scopus 로고
    • A note on zero-one laws in metrical diophantine approximation
    • Beresnevich, V., and S. Velani. "A note on zero-one laws in metrical diophantine approximation." Acta Arithmetica 133 (2008): 363-374
    • (2008) Acta Arithmetica , vol.133 , pp. 363-374
    • Beresnevich, V.1    Velani, S.2
  • 6
    • 49549135531 scopus 로고
    • Two problems in metric Diophantine approximation 1
    • Catlin, P. A. "Two problems in metric Diophantine approximation 1." Journal of Number Theory 8 (1976): 282-288
    • (1976) Journal of Number Theory , vol.8 , pp. 282-288
    • Catlin, P.A.1
  • 7
    • 84972529929 scopus 로고
    • Khintchine's problem in metric Diophantine approximation
    • Duffin, R. J., and A. C. Schaeffer. "Khintchine's problem in metric Diophantine approximation." Duke Mathematical Journal 8 (1941): 243-255
    • (1941) Duke Mathematical Journal , vol.8 , pp. 243-255
    • Duffin, R.J.1    Schaeffer, A.C.2
  • 8
    • 33847658589 scopus 로고
    • Metric simultaneous diophantine approximation 2
    • Gallagher, P. X. "Metric simultaneous diophantine approximation 2." Mathematika 12 (1965): 123-127
    • (1965) Mathematika , vol.12 , pp. 123-127
    • Gallagher, P.X.1
  • 9
    • 0000834526 scopus 로고
    • A theorem on a system of linear forms
    • Groshev, A. "A theorem on a system of linear forms." Doklady Akademii Nauk SSSR 19 (1938): 151-152
    • (1938) Doklady Akademii Nauk SSSR , vol.19 , pp. 151-152
    • Groshev, A.1
  • 10
    • 0000606591 scopus 로고
    • Einige Sätze über Kettenbrüche, mit Anwendungen auf die Theorie der Diophantischen Approximationen
    • Khintchine, A. "Einige Sätze über Kettenbrüche, mit Anwendungen auf die Theorie der Diophantischen Approximationen." Mathematische Annalen 92 (1924): 115-125
    • (1924) Mathematische Annalen , vol.92 , pp. 115-125
    • Khintchine, A.1
  • 11
    • 0001459909 scopus 로고
    • Zur metrischen Theorie der diophantischen Approximationen
    • Khintchine, A. "Zur metrischen Theorie der diophantischen Approximationen." Mathematische Zeitschrift 24 (1926): 706-714
    • (1926) Mathematische Zeitschrift , vol.24 , pp. 706-714
    • Khintchine, A.1
  • 12
    • 84976189141 scopus 로고
    • The k-dimensional Duffin and Schaeffer conjecture
    • Pollington, A. D., and R. C. Vaughan. "The k-dimensional Duffin and Schaeffer conjecture." Mathematika 37 (1990): 190-200.
    • (1990) Mathematika , vol.37 , pp. 190-200
    • Pollington, A.D.1    Vaughan, R.C.2
  • 13
    • 0037607113 scopus 로고
    • A metrical theorem in diophantine approximation
    • Schmidt, W. M. "A metrical theorem in diophantine approximation." Canadian Journal of Mathematics 12 (1960): 619-631
    • (1960) Canadian Journal of Mathematics , vol.12 , pp. 619-631
    • Schmidt, W.M.1
  • 14
    • 0003954808 scopus 로고
    • Metric theory of diophantine approximation
    • New York: John Wiley & Sons
    • Sprindžuk, V. Metric Theory of Diophantine Approximation. Scripta Series in Mathematics. New York: John Wiley & Sons, 1979.
    • (1979) Scripta Series in Mathematics
    • Sprindžuk, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.