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z-function

station__zeta__z-function external (needs EXECUTION_BACKEND_URL) zeta non-pv Constructa Configa

Evaluate the Riemann-Siegel Z function Z(t), which is real-valued on the critical line. Sign changes of Z(t) indicate zeros of ζ(1/2 + it).

Taxonomy

Linnaean classification joined from the algovigilance taxonomy index via the parent config's rank.

Rank	Value
domain	`Substrata`
kingdom	`Constructa`
phylum	`Configa`
class	`station-config`
order	`zeta`
family	`mcp-tool-config`

Characteristics:

substrate: config
domain: pv
lifecycle: continuous
authority: read
compounding: producer
io: agent-request → tool-response

Input schema

t numberrequired — Height on the critical line

Example call

POST /api/mcp
Content-Type: application/json

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/call",
  "params": {
    "name": "station__zeta__z-function",
    "arguments": {
      "t": 0
    }
  }
}

How to invoke from a client

From any MCP-aware client, add https://algovigilance.com/api/mcp as an MCP server, then call this tool by name. From a raw HTTP client, send the JSON-RPC body above to /api/mcp.

Agent-friendly formats

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All tools (3062 live)
/api/mcp — endpoint
/AGENTS.md — agent guide
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