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1

Hilbert's Tenth Problem for fields of rational functions over finite fields

Thanases Pheidas

Journal:

Inventiones mathematicae

Year:

1991

Language:

english

File:

PDF, 448 KB

english, 1991

2

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Applications of local-global principles to arithmetic and geometry

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 1.77 MB

english, 2000

3

Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic

Thanases Pheidas

Journal:

Journal of Algebra

Year:

2004

Language:

english

File:

PDF, 242 KB

english, 2004

4

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Hilbert’s tenth problem: what was done and what is to be done

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 3.49 MB

english, 2000

5

Uniform existential interpretation of arithmetic in rings of functions of positive characteristic

Hector Pasten, Thanases Pheidas, Xavier Vidaux

Journal:

Inventiones mathematicae

Year:

2014

Language:

english

File:

PDF, 991 KB

english, 2014

6

An Analogue of Hilbert's Tenth Problem for p-Adic Entire Functions

Leonard Lipshitz and Thanases Pheidas

Journal:

Journal of Symbolic Logic

Year:

1995

Language:

english

File:

PDF, 192 KB

english, 1995

7

Undecidable existential theories of polynomial rings and function fields

Pheidas, Thanases, Zahidi, Karim

Journal:

Communications in Algebra

Year:

1999

Language:

english

File:

PDF, 609 KB

english, 1999

8

Extensions of Hilbert's tenth problem

Pheidas, Thanases

Journal:

Journal of Symbolic Logic

Year:

1994

Language:

english

File:

PDF, 1.73 MB

english, 1994

9

THE ANALOGUE OF BÜCHI'S PROBLEM FOR RATIONAL FUNCTIONS

PHEIDAS, THANASES, VIDAUX, XAVIER

Journal:

Journal of the London Mathematical Society

Year:

2006

Language:

english

File:

PDF, 239 KB

english, 2006

10

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 ||

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 2.14 MB

english, 2000

11

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Hilbert’s tenth problem over number fields, a survey

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 2.36 MB

english, 2000

12

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Some model theory of compact complex spaces

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 1.66 MB

english, 2000

13

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Topology of Diophantine sets: remarks on Mazur’s conjectures

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 897 KB

english, 2000

14

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Diagonal quadratic forms and Hilbert’s tenth problem

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 1.10 MB

english, 2000

15

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Undecidability of existential theories of rings and fields: a survey

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 4.60 MB

english, 2000

16

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Skolem density problems over large Galois extensions of global fields

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 1.98 MB

english, 2000

17

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Decidability and local-global principles

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 2.20 MB

english, 2000

18

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 1.02 MB

english, 2000

19

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Defining constant polynomials

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 572 KB

english, 2000

20

[Contemporary Mathematics] Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry Volume 270 || Algebraic geometry over four rings and the frontier to tractability

Denef, Jan, Lipshitz, Leonard, Pheidas, Thanases, Van Geel, Jan

Year:

2000

Language:

english

File:

PDF, 4.35 MB

english, 2000

21

Elimination Theory for Addition and the Frobenius Map in Polynomial Rings

Thanases Pheidas and Karim Zahidi

Journal:

Journal of Symbolic Logic

Year:

2004

Language:

english

File:

PDF, 2.00 MB

english, 2004

22

An Undecidability Result for Power Series Rings of Positive Characteristic. II

Thanases Pheidas

Journal:

Proceedings of the American Mathematical Society

Year:

1987

Language:

english

File:

PDF, 213 KB

english, 1987

23

Elimination theory for addition and the frobenius map in polynomial rings

Pheidas, Thanases, Zahidi, Karim

Journal:

Journal of Symbolic Logic

Year:

2004

Language:

english

File:

PDF, 1.22 MB

english, 2004

24

Hilbert's Tenth Problem for a Class of Rings of Algebraic Integers

Thanases Pheidas

Journal:

Proceedings of the American Mathematical Society

Year:

1988

Language:

english

File:

PDF, 280 KB

english, 1988

25

An Undecidability Result for Power Series Rings of Positive Characteristic

Pheidas, Thanases

Journal:

Proceedings of the American Mathematical Society

Year:

1987

Language:

english

File:

PDF, 206 KB

english, 1987

26

An undecidability result for power series rings of positive characteristic. II

Pheidas, Thanases

Journal:

Proceedings of the American Mathematical Society

Year:

1987

Language:

english

File:

PDF, 599 KB

english, 1987