conjecture in number theory
C11422
concept
A conjecture in number theory is an unproven but plausibly true statement about the properties or relationships of integers, often motivated by patterns, partial results, or computational evidence.
All labels observed (8)
| Label | Occurrences |
|---|---|
| conjecture in number theory canonical | 8 |
| number theory conjecture | 3 |
| unproven hypothesis in number theory | 2 |
| unproven statement in number theory | 2 |
| conjecture in algebraic number theory | 1 |
| conjecture in analytic number theory | 1 |
| precursor of the modularity theorem | 1 |
| unproven idea in number theory | 1 |
Instances (19)
| Instance | Via concept surface |
|---|---|
| Serre’s conjecture on Galois representations | — |
| generalized Riemann hypothesis | — |
| Hilbert–Pólya conjecture | unproven idea in number theory |
| Montgomery's pair correlation conjecture | number theory conjecture |
| Ramanujan–Petersson conjecture | — |
| Bateman–Horn conjecture | unproven statement in number theory |
| Riemann hypothesis | — |
| Lindelöf hypothesis | conjecture in analytic number theory |
| Taniyama–Shimura–Weil conjecture | precursor of the modularity theorem |
| Artin’s conjecture on L-functions | unproven hypothesis in number theory |
| Bombieri–Lang conjecture | — |
| Pólya’s conjecture | number theory conjecture |
| Legendre’s conjecture on primes between consecutive squares | unproven statement in number theory |
| Sato–Tate distribution (for families of elliptic curves) | — |
| Stark conjectures | conjecture in algebraic number theory |
| reciprocity conjecture | — |
| Fontaine–Mazur conjecture | — |
| GRH | number theory conjecture |
| grand Riemann hypothesis | unproven hypothesis in number theory |