SCOPUS 정보 검색 플랫폼

Volumn 95, Issue 2, 2002, Pages 289-302

The ABC conjecture implies Vojta's height inequality for curves

Author keywords

ABC conjecture; Diophantine approximation; Effective Mordell; Mordell's conjecture; Roth's theorem; The error term in the ABC conjecture; Type of an algebraic number; Vojta's height inequality

Indexed keywords

EID: 0036695921 PISSN: 0022314X EISSN: None Source Type: Journal
DOI: 10.1016/S0022-314X(01)92769-6 Document Type: Article

Times cited : (11)

References (11)

1
- 0003632825
- "Lectures on the Mordell-Weil Theorem"
- 2nd ed., Aspects of Mathematics, Vieweg, Wiesbaden
- J.-P. Serre, "Lectures on the Mordell-Weil Theorem," 2nd ed., Aspects of Mathematics, Vieweg, Wiesbaden, 1990.
- (1990)
- Serre, J.-P.¹

2
- 0010566190
- An explanation of some exotic continued fractions found by Brillhart
- Proc. Sci. Res. Council Atlas Symp. No. 2, Academic Press, New York
- H. Stark, An explanation of some exotic continued fractions found by Brillhart, in "Computers in Number Theory," Proc. Sci. Res. Council Atlas Symp. No. 2, pp. 21-35, Academic Press, New York, 1971.
- (1971) "Computers in Number Theory" , pp. 21-35
- Stark, H.¹

3
- 0001426180
- On the Oesterlé-Masser conjecture
- C. L. Stewart, R. Tijdeman, On the Oesterlé-Masser conjecture, Mh. Math. 102 (1986), 251-257.
- (1986) Mh. Math , vol.102 , pp. 251-257
- Stewart, C.L.¹ Tijdeman, R.²

4
- 0000927735
- Polynomial identities and hauptmoduln
- W. W. Stothers, Polynomial identities and hauptmoduln, Quart. J. Math. Oxford (2) 32 (1981), 349-370.
- (1981) Quart. J. Math. Oxford , vol.32 , Issue.2 , pp. 349-370
- Stothers, W.W.¹

5
- 0001888172
- The ABC conjecture implies Roth's theorem and Mordell's conjecture
- M. van Frankenhuysen, The ABC conjecture implies Roth's theorem and Mordell's conjecture, Matemática Contemporânea 16 (1999), 45-72.
- (1999) Matemática Contemporânea , vol.16 , pp. 45-72
- van Frankenhuysen, M.¹

6
- 0034178811
- A lower bound in the ABC conjecture
- M. van Frankenhuysen, A lower bound in the ABC conjecture, J. Number Theory 82 (2000), 91-95.
- (2000) J. Number Theory , vol.82 , pp. 91-95
- van Frankenhuysen, M.¹

7
- 0010566875
- The ABC conjecture for meromorphic functions
- preprint
- M. van Frankenhuysen, The ABC conjecture for meromorphic functions, preprint, 2001.
- (2001)
- van Frankenhuysen, M.¹

8
- 0003997241
- "Diophantine Approximations and Value Distribution Theory"
- Lecture Notes in Mathematics, Vol. 1239, Springer-Verlag, New York
- P. Vojta, "Diophantine Approximations and Value Distribution Theory," Lecture Notes in Mathematics, Vol. 1239, Springer-Verlag, New York, 1987.
- (1987)
- Vojta, P.¹

9
- 0000956018
- Siegel's theorem in the compact case
- P. Vojta, Siegel's theorem in the compact case, Ann. Math. 133 (1991), 509-548.
- (1991) Ann. Math , vol.133 , pp. 509-548
- Vojta, P.¹

10
- 0010600911
- letter to Elkies
- P. Vojta, letter to Elkies, 1992.
- (1992)
- Vojta, P.¹

11
- 1842729450
- A more general ABC conjecture
- P. Vojta, A more general ABC conjecture, Internat. Math. Res. Notices 21 (1998), 1103-1116.
- (1998) Internat. Math. Res. Notices , vol.21 , pp. 1103-1116
- Vojta, P.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.