diophantine undecidability
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Diophantine undecidability of function fields

Hilbert's Tenth Problem ◽

10.1017/cbo9780511542954.008 ◽

2009 ◽

pp. 129-161

Author(s):

Alexandra Shlapentokh

Keyword(s):

Function Fields ◽

Diophantine Undecidability

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Diophantine Undecidability of Holomorphy Rings of Function Fields of Characteristic 0

Annales de l’institut Fourier ◽

10.5802/aif.2484 ◽

2009 ◽

Vol 59 (5) ◽

pp. 2103-2118 ◽

Cited By ~ 2

Author(s):

Laurent Moret-Bailly ◽

Alexandra Shlapentokh

Keyword(s):

Function Fields ◽

Diophantine Undecidability

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Diophantine Undecidability for Some Function Fields of Infinite Transcendence Degree and Positive Characteristic

Journal of Mathematical Sciences ◽

10.1007/s10958-005-0358-x ◽

2005 ◽

Vol 130 (2) ◽

pp. 4631-4642 ◽

Cited By ~ 1

Author(s):

A. Shlapentokh

Keyword(s):

Positive Characteristic ◽

Function Fields ◽

Transcendence Degree ◽

Diophantine Undecidability

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Diophantine undecidability for addition and divisibility in polynomial rings

Fundamenta Mathematicae ◽

10.4064/fm182-3-2 ◽

2004 ◽

Vol 182 (3) ◽

pp. 205-220 ◽

Cited By ~ 1

Author(s):

Thanases Pheidas

Keyword(s):

Polynomial Rings ◽

Diophantine Undecidability

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Diophantine Undecidability over Algebraic Function Fields over Finite Fields of Constants

Journal of Number Theory ◽

10.1006/jnth.1996.0080 ◽

1996 ◽

Vol 58 (2) ◽

pp. 317-342 ◽

Cited By ~ 12

Author(s):

Alexandra Shlapentokh

Keyword(s):

Finite Fields ◽

Function Fields ◽

Algebraic Function ◽

Algebraic Function Fields ◽

Diophantine Undecidability

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Diophantine undecidability in some rings of algebraic numbers of totally real infinite extensions of Q

Annals of Pure and Applied Logic ◽

10.1016/0168-0072(94)90024-8 ◽

1994 ◽

Vol 68 (3) ◽

pp. 299-325 ◽

Cited By ~ 9

Author(s):

Alexandra Shlapentokh

Keyword(s):

Algebraic Numbers ◽

Totally Real ◽

Diophantine Undecidability

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Diophantine undecidability for some holomorphy rings of algebraic functions of characteristic 0.

Communications in Algebra ◽

10.1080/00927879408825078 ◽

1994 ◽

Vol 22 (11) ◽

pp. 4379-4404 ◽

Cited By ~ 4

Author(s):

Alexandra Shlapentokh

Keyword(s):

Algebraic Functions ◽

Diophantine Undecidability

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Diophantine undecidability of C(t1, t2)

Journal of Algebra ◽

10.1016/s0021-8693(05)80047-x ◽

1992 ◽

Vol 150 (1) ◽

pp. 35-44 ◽

Cited By ~ 21

Author(s):

K.H. Kim ◽

F.W. Roush

Keyword(s):

Diophantine Undecidability

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