{"query": "The finite-field (Weil) Riemann hypothesis", "count": 17, "results": [{"id": "card_chart_weil_rh", "title": "The finite-field (Weil) Riemann hypothesis", "shelf": "codex", "surface": "secular", "snippet": "The finite-field (Weil) Riemann hypothesis. A chart on the one map: this is the tick stick stick_finite_field_the_weil_riemann_hypothesis, placed at the node it charts. Basis: the stick seals |alpha|^", "authority_tier": "engine_derived", "source": "Narrow Highway - a chart: a tick stick placed on the one map", "readable": false, "generated": false}, {"id": "card_joint_weil_conjectures", "title": "The Weil conjectures (Deligne 1974): the Riemann hypothesis over finite fields, a theorem", "shelf": "codex", "surface": "secular", "snippet": "The Weil conjectures are the analogue of the Riemann hypothesis for the zeta functions of varieties over FINITE FIELDS, and they are a theorem (Deligne 1974): every eigenvalue of Frobenius on the i-th", "authority_tier": "engine_derived", "source": "Narrow Highway - the Millennium floor, a joint found in the literature (operator seed)", "readable": false, "generated": false}, {"id": "card_floor_millennium", "title": "The Millennium floor - seven open questions, and where they connect", "shelf": "codex", "surface": "secular", "snippet": "The seven Millennium Prize Problems on the one map of reality. The FLOOR is what is proven or observed: the joints where two of the questions meet at one established thing - the GUE statistics shared ", "authority_tier": "engine_derived", "source": "Narrow Highway - the Millennium floor (operator seed)", "readable": false, "generated": false}, {"id": "card_src_mill_deligne_1974", "title": "P. Deligne 1974 — La conjecture de Weil. I", "shelf": "millennium", "surface": "secular", "snippet": "P. Deligne (1974). La conjecture de Weil. I. Publ. Math. IHÉS 43 (1974) 273–307. DOI 10.1007/BF02684373. Canonical: https://doi.org/10.1007/BF02684373. Free copy: http://www.numdam.org/item/PMIHES_197", "authority_tier": "reference", "source": "P. Deligne (1974), Publ. Math. IHÉS 43 (1974) 273–307", "readable": false, "generated": false}, {"id": "card_floor_logarithm", "title": "The logarithm - the instrument the joints share", "shelf": "codex", "surface": "secular", "snippet": "Two trees: Napier's table (1614) and Saint-Vincent's hyperbola (1647) - a number's logarithm as a tabulated count, and as an area. They become one function in Euler's Introductio (1748): e, and exp an", "authority_tier": "engine_derived", "source": "Narrow Highway - a chain on the one map (operator seed)", "readable": false, "generated": false}, {"id": "card_src_mill_mulmuley_2011", "title": "K. D. Mulmuley 2011 — On P vs. NP and geometric complexity theory", "shelf": "millennium", "surface": "secular", "snippet": "K. D. Mulmuley (2011). On P vs. NP and geometric complexity theory. J. ACM 58 (2011) 5:1–26. DOI 10.1145/1944345.1944346. arXiv: 0908.1936. Canonical: https://doi.org/10.1145/1944345.1944346. Free cop", "authority_tier": "reference", "source": "K. D. Mulmuley (2011), J. ACM 58 (2011) 5:1–26", "readable": false, "generated": false}, {"id": "card_chain_weil_1929", "title": "Weil 1929 — L'arithmétique sur les courbes algébriques", "shelf": "codex", "surface": "secular", "snippet": "A. Weil (1929). L'arithmétique sur les courbes algébriques. Acta Math. 52 (1929) 281–315. DOI 10.1007/BF02592688. Canonical: https://doi.org/10.1007/BF02592688. Cited by its record. License as found: ", "authority_tier": "reference", "source": "A. Weil (1929), Acta Math. 52 (1929) 281–315", "readable": false, "generated": false}, {"id": "card_chain_weil_1949", "title": "Weil 1949 — Numbers of solutions of equations in finite fields", "shelf": "codex", "surface": "secular", "snippet": "A. Weil (1949). Numbers of solutions of equations in finite fields. Bull. Amer. Math. Soc. 55 (1949) 497–508. DOI 10.1090/S0002-9904-1949-09219-4. Canonical: https://doi.org/10.1090/S0002-9904-1949-09", "authority_tier": "reference", "source": "A. Weil (1949), Bull. Amer. Math. Soc. 55 (1949) 497–508", "readable": false, "generated": false}, {"id": "card_src_word_weil", "title": "weil", "shelf": "dictionary", "surface": "secular", "snippet": "weil: (noun) French philosopher (1909-1943) — syn: Simone Weil · (noun) United States mathematician (born in France) (1906-1998) — syn: Andre Weil", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_pron_weil", "title": "weil", "shelf": "pronunciation", "surface": "secular", "snippet": "weil: pronounced (ARPABET) W AY1 L; also W IY1 L. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}, {"id": "card_src_book_61873", "title": "Warum und Weil. Physikalischer Teil. Fragen und Antworten aus den wichtigsten Gebieten der gesammten Naturlehre. — Otto Ule", "shelf": "gutenberg", "surface": "secular", "snippet": "Warum und Weil. Physikalischer Teil. Fragen und Antworten aus den wichtigsten Gebieten der gesammten Naturlehre., by Otto Ule (in de). Subjects: Physics. Read the full text (public domain): https://ww", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_chain_kolyvagin_1989", "title": "Kolyvagin 1989 — Finiteness of E(Q) and Sha(E, Q) for a subclass of Weil curves", "shelf": "codex", "surface": "secular", "snippet": "V. A. Kolyvagin (1989). Finiteness of E(Q) and Sha(E, Q) for a subclass of Weil curves. Math. USSR Izv. 32 (1989) 523–541. DOI 10.1070/IM1989v032n03ABEH000779. Canonical: https://doi.org/10.1070/IM198", "authority_tier": "reference", "source": "V. A. Kolyvagin (1989), Math. USSR Izv. 32 (1989) 523–541", "readable": false, "generated": false}, {"id": "card_src_word_simone_weil", "title": "simone weil", "shelf": "dictionary", "surface": "secular", "snippet": "simone weil: (noun) French philosopher (1909-1943) — syn: Weil", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_andre_weil", "title": "andre weil", "shelf": "dictionary", "surface": "secular", "snippet": "andre weil: (noun) United States mathematician (born in France) (1906-1998) — syn: Weil", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_place_2812625", "title": "Weil der Stadt", "shelf": "geography", "surface": "secular", "snippet": "Weil der Stadt: a place in DE, 01 at 48.750, 8.872, population 19,338. Feature PPLA4, timezone Europe/Berlin.", "authority_tier": "reference", "source": "GeoNames (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_place_2812636", "title": "Weil am Rhein", "shelf": "geography", "surface": "secular", "snippet": "Weil am Rhein: a place in DE, 01 at 47.593, 7.621, population 32,236. Feature PPL, timezone Europe/Berlin.", "authority_tier": "reference", "source": "GeoNames (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_place_2812502", "title": "Weil im Schönbuch", "shelf": "geography", "surface": "secular", "snippet": "Weil im Schönbuch: a place in DE, 01 at 48.623, 9.064, population 10,037. Feature PPLA4, timezone Europe/Berlin.", "authority_tier": "reference", "source": "GeoNames (CC-BY 4.0)", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_chart_weil_rh"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}