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Results tagged with nt.number-theory
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user 79998
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
4
votes
Status of an open problem about semilinear sets
Recently, a criterion for the special case of deciding whether an integral polyhedron $A\cdot \vec{x} \ge \vec{b}$ is stratified has been developed here (Theorem 4.5):
Leroux, J., Penelle, V., & Sutr …
- 183
4
votes
1
answer
215
views
Primes in arithmetic progressions above a given threshold
Given co-prime $a,b$, Dirichlet's theorem states that there are infinitely many primes in the arithmetic progression $M = \{ a + bn : n \in \mathbb N\}$. Linnik's theorem asserts that the first such p …
- 183
9
votes
Which recursively-defined predicates can be expressed in Presburger Arithmetic?
In addition to the answers above, it is worth mentioning that the existential fragment of Presburger arithmetic can actually be extended by a full divisibility predicate while retaining decidability [ …