26

Answers

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5

What are the most attractive Turing undecidable problems in mathematics?

24

Fiction books about mathematicians?

20

Computing the Galois group of a polynomial

13

What is the high-concept explanation on why real numbers are useful in number theory?

3

Is no proof based on “tertium non datur” sufficient any more after Gödel?

5

Importance of Log Convexity of the Gamma Function

6

Non-standard models of finite set theory

14

How often are irrational numbers well-approximated by rationals?

1

Continued fractions using all natural integers

9

Why can Diophantine equations represent exponential growth?

3

A question about open induction

1

Solving a system of equations/inequalities that have trigonometric functions on the left-hand side

2

“Linear algebra” over Z/nZ - reference please!

10

Does there exist a holomorphic function which takes given values on the positive integers?

3

Searching for an inhomogeneous diophantine approximation algorithm

3

Real number happens to be an integer

2

Bounds on squarefree numbers

2

Computation of inverses modulo p followup

2

Implication of Polignac’s conjecture on prime distribution in models of PA

9

First order decidability of rings vs Diophantine decidability

4

Decision Procedure for Inequalities between Homogeneous Polynomials

5

Computable rings similar to Z

3

References on techniques for solving equations with discontinuous functions such as floor and ceiling?

1

Are there ever exotic isomorphisms between quotients of F[x]?

8

Sets of integers represented by degree zero rational functions

2

Real-closed fields minus existentials for Presburger-like power and multiplication?