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[1] Hector Pasten.
Representation of squares by monic second degree polynomials in the field of $p$-adic meromorphic functions.
Trans. Amer. Math. Soc.
364
(2012)
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Abstract, references, and article information
View Article: PDF
[2] Hector Pasten.
An extension of Büchi's problem for polynomial rings in zero characteristic.
Proc. Amer. Math. Soc.
138
(2010)
1549-1557.
MR 2587438.
Abstract, references, and article information
View Article: PDF
[3] Kirsten Eisenträger and Graham Everest.
Descent on elliptic curves and Hilbert's tenth problem.
Proc. Amer. Math. Soc.
137
(2009)
1951-1959.
MR 2480276.
Abstract, references, and article information
View Article: PDF
[4] Alexandra Shlapentokh.
Elliptic curves retaining their rank in finite extensions and Hilbert's Tenth Problem for rings of algebraic numbers.
Trans. Amer. Math. Soc.
360
(2008)
3541-3555.
MR 2386235.
Abstract, references, and article information
View Article: PDF
[5] Harvey M. Friedman.
The number of certain integral polynomials and nonrecursive sets of integers, Part 2.
Trans. Amer. Math. Soc.
357
(2005)
1013-1023.
MR 2110430.
Abstract, references, and article information
View Article: PDF
[6] Alexandra Shlapentokh.
On Diophantine definability and decidability in some infinite totally real extensions of $\mathbb Q$.
Trans. Amer. Math. Soc.
356
(2004)
3189-3207.
MR 2052946.
Abstract, references, and article information
View Article: PDF
[7] Bjorn Poonen.
Hilbert's Tenth Problem and Mazur's Conjecture for large subrings of $\mathbb{Q}$.
J. Amer. Math. Soc.
16
(2003)
981-990.
MR 1992832.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[8] Karim Zahidi.
On Diophantine sets over polynomial rings .
Proc. Amer. Math. Soc.
128
(2000)
877-884.
MR 1641141.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[9] Daniel Berend and Yuri Bilu.
Polynomials with roots modulo every integer.
Proc. Amer. Math. Soc.
124
(1996)
1663-1671.
MR 1307495.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[10] Carlos R. Videla.
Hilbert's tenth problem for rational function
fields in characteristic $2$
.
Proc. Amer. Math. Soc.
120
(1994)
249-253.
MR 1159179.
Abstract, references, and article information
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This article is available free of charge
[11] K. H. Kim and F. W. Roush.
Undecidability of parametric solutions of
polynomial equations
.
Proc. Amer. Math. Soc.
118
(1993)
345-348.
MR 1132414.
Abstract, references, and article information
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[12] Alexandra Shlapentokh.
Hilbert's tenth problem for rings of algebraic
functions in one variable over fields of constants of
positive characteristic
.
Trans. Amer. Math. Soc.
333
(1992)
275-298.
MR 1091233.
Abstract, references, and article information
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This article is available free of charge
[13] Thanases Pheidas.
Hilbert's tenth problem for a class of rings of
algebraic integers
.
Proc. Amer. Math. Soc.
104
(1988)
611-620.
MR 962837.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[14] Bernd Sturmfels.
On the decidability of Diophantine problems in combinatorial geometry.
Bull. Amer. Math. Soc.
17
(1987)
121-124.
MR 888886.
Abstract, references, and article information
View Article: PDF
[15] Peter Pappas.
A Diophantine problem for Laurent polynomial
rings
.
Proc. Amer. Math. Soc.
93
(1985)
713-718.
MR 776209.
Abstract, references, and article information
View Article: PDF
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