Riemann hypothesis
The unproven conjecture that all non-trivial zeros of the zeta function lie on one line — the deepest open question about the primes.
At a glance
Key signals
0% cross fields · reaches 3 more
- Number Theory
- Mathematics
- Explanation
- Examples
- Misconception
- Sourced relations
- Attribution
Structural role & consequence
Interpreted from the current atlas graph — what the connections mean, not just how many there are.
Currently dark in the atlas: no key date stored · 2 of 2 of its relations lack claim-level evidence.
atlas representation · Describes the current Thinking OS representation, not the state of the world.
Structural neighbourhood: 2 → 12 → 36 concepts reachable within 3 hops.
structural · Structural reach — being reachable is not the same as being understood.
All 2 of its relationships stay within its own discipline — a field-specific concept in the current atlas.
structural · Structural graph analysis — not a claim of importance, causation or history.
cross-field
2 within-field, 0 cross-field
Strengths & constraints
Constraints
- Evidence coverage currently thin in the atlas — few of its relationships carry claim-level evidence. atlas representation
- No dated history stored — the atlas records no key date for this concept. atlas representation
Conditions
- Read structurally — most of its relationships carry no external evidence yet, so claims here are graph-derived. structural
Seen through each discipline
How this concept sits in each of its fields — derived from its real connections in the graph, not asserted.
Riemann hypothesis is studied in this field.
Through this lens it connects to Prime number and P versus NP.
Related ideas to explore
Concepts that look related but are not yet connected here — candidates for a connection to reason about, not established links.
This idea also appears in…
The same structure shows up in other disciplines. These are real recurrences drawn from the graph — a starting point for asking “what carries over, and what changes?”
Concepts
explicitly analogous
- Connects 2 other ideas across 2 disciplines.
- A cross-disciplinary bridge — its connections reach into 3 other fields.
- Most of its connections are of the “Analogy & transfer” kind.
Derived from the graph’s real structure — observations, not a score.
Sources
- Towards the Generalized Riemann Hypothesis using only zeros of the Riemann zeta function (2023) verified
- The Generalized Riemann Hypothesis (2025) verified