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Volumn , Issue 475, 1996, Pages 167-185

An adelic Minkowski-Hlawka theorem and an application to Siegel's lemma

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EID: 0002802506     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (33)

References (18)
  • 2
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    • On the decomposition of vectors over number fields
    • E. Burger and J. Vaaler, On the decomposition of vectors over number fields, J. reine angew. Math. 435 (1993), 197-219.
    • (1993) J. Reine Angew. Math. , vol.435 , pp. 197-219
    • Burger, E.1    Vaaler, J.2
  • 3
    • 84972514580 scopus 로고
    • On the elementary theory of Diophantine approximation over the ring of adeles I, 111
    • D. Cantor, On the elementary theory of Diophantine approximation over the ring of adeles I, 111. J. Math. 8 (1965), 677-700.
    • (1965) J. Math. , vol.8 , pp. 677-700
    • Cantor, D.1
  • 9
    • 0010034194 scopus 로고
    • An analogue to Minkowski's geometry of numbers in a field of series
    • K. Mahler, An analogue to Minkowski's geometry of numbers in a field of series, Ann. Math. 42 (1941), 488-522.
    • (1941) Ann. Math. , vol.42 , pp. 488-522
    • Mahler, K.1
  • 10
    • 0142021407 scopus 로고
    • Small solutions to inhomogeneous linear equations over number fields
    • R. O'Leary and J. Vaaler, Small solutions to inhomogeneous linear equations over number fields, Trans. Amer. Math. Soc. 336 (1993), 915-931.
    • (1993) Trans. Amer. Math. Soc. , vol.336 , pp. 915-931
    • O'Leary, R.1    Vaaler, J.2
  • 11
    • 0041094599 scopus 로고
    • A note on Siegel's lemma over number fields
    • D. Roy and J. L. Thunder, A note on Siegel's lemma over number fields, Monatsh. Math. 120 (1995), 307-318.
    • (1995) Monatsh. Math. , vol.120 , pp. 307-318
    • Roy, D.1    Thunder, J.L.2
  • 13
    • 0001646928 scopus 로고
    • Heights in number fields
    • S. Schanuel, Heights in number fields, Bull. Soc. Math. France 107 (1979), 433-449.
    • (1979) Bull. Soc. Math. France , vol.107 , pp. 433-449
    • Schanuel, S.1
  • 14
    • 0001680397 scopus 로고
    • A mean value theorem in geometry of numbers
    • C.L. Siegel, A mean value theorem in geometry of numbers, Ann. Math. 46 (1945), 340-347.
    • (1945) Ann. Math. , vol.46 , pp. 340-347
    • Siegel, C.L.1
  • 15
    • 25144441473 scopus 로고
    • Siegel's lemma for function fields
    • J.L. Thunder, Siegel's lemma for function fields, Mich. Math. J. 42 (1995), 147-162.
    • (1995) Mich. Math. J. , vol.42 , pp. 147-162
    • Thunder, J.L.1
  • 18
    • 0039963908 scopus 로고
    • Sur quelques results de Siegel
    • A. Weil, Sur quelques results de Siegel, Summa Brasil. Math, 1 (1946), 21-39.
    • (1946) Summa Brasil. Math , vol.1 , pp. 21-39
    • Weil, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.