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← Session 37 — Paper A revisions: certificate retraction + margin fix

#2374 assistant 2026-08-27 02:25:51.154 UTC · 649→260 tok open ⤢
thinking (177 chars)
This is the "II" paper (JNT 134:280–292, 2014) with 0.111/0.275/2.450. The Math. Comp. paper is the FIRST in the series. Let me search for Trudgian's Math. Comp. paper on arXiv.
That's the sequel. Finding the Math. Comp. paper itself.
tool: WebFetch ok
input
{
  "url": "http://export.arxiv.org/api/query?search_query=au:Trudgian+AND+ti:%22argument+of+the+Riemann%22&max_results=10",
  "prompt": "List every paper: arXiv id, full title, author, dates, journal-ref, and the abstract's main S(T) bound with exact constants. I'm looking for the paper published in Math. Comp. 83 (2014) 1053-1061, \"An improved upper bound for the argument of the Riemann zeta function on the critical line\"."
}
result 2026-08-27 02:25:51Z → 2026-08-27 02:26:10Z
bytes=1835 code=200 code_text='OK' result='**Note:** The feed contains only one paper (totalResults: 1), and it\'s *not* the Math. Comp. paper you\'re seeking. This is the sequel ("II"), published in J. Number Theory — the Math. Comp. 83 (2014) 1053–1061 paper does not appear here.\n\n**Paper listed:**\n\n- **arXiv ID:** 1208.5846v2\n- **Title:** "An improved upper bound for the argument of the Riemann zeta-function on the critical line II"\n- **Author:** T. S. Trudgian\n- **Published:** 2012-08-29\n- **Updated:** 2012-09-05 (v2; comment notes minor alterations and corrections, 10 pages, two tables)\n- **Journal-ref:** 2014, J. Number Theory, vol. 134, pp. 280–292\n- **Category:** math.NT\n- **Main bound:** The abstract states the result "|S(T)|\\leq 0.111\\log T + 0.275\\log\\log T + 2.450", valid for all T ≥ e.\n\nTo find the Math. Comp. paper, you\'d need a different query (e.g., searching Trudgian\'s earlier work without the "II" in the title).' duration_ms=18954.095600000073 url='http://export.arxiv.org/api/query?search_query=au:Trudgian+AND+ti:%22argument+of+the+Riemann%22&max_results=10'
raw content_json (database row)
[{"type":"thinking","thinking":"This is the \"II\" paper (JNT 134:280–292, 2014) with 0.111/0.275/2.450. The Math. Comp. paper is the FIRST in the series. Let me search for Trudgian's Math. Comp. paper on arXiv.","signature":""},{"type":"text","text":"That's the sequel. Finding the Math. Comp. paper itself."},{"type":"tool_use","id":"WebFetch_66","name":"WebFetch","input":{"url":"http://export.arxiv.org/api/query?search_query=au:Trudgian+AND+ti:%22argument+of+the+Riemann%22&max_results=10","prompt":"List every paper: arXiv id, full title, author, dates, journal-ref, and the abstract's main S(T) bound with exact constants. I'm looking for the paper published in Math. Comp. 83 (2014) 1053-1061, \"An improved upper bound for the argument of the Riemann zeta function on the critical line\"."},"extra_content":null}]