Field with one element (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Field with one element" in English language version.

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15arxiv.org

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7doi.org

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7semanticscholar.org

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2ucr.edu

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2harvard.edu

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1wiktionary.org

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1mathnet.ru

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1neverendingbooks.org

low place

1numdam.org

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1ihes.fr

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1web.archive.org

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1univ-rouen.fr

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1researchgate.net

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1ams.org

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1zbmath.org

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1gilkalai.wordpress.com

low place

1sbseminar.wordpress.com

low place

ams.org

mathscinet.ams.org

Connes, Consani & Marcolli (2009) Connes, Alain; Consani, Caterina; Marcolli, Matilde (2009), "Fun with $\mathbb {F} _{1}$ ", Journal of Number Theory, 129 (6): 1532–1561, arXiv:0806.2401, doi:10.1016/j.jnt.2008.08.007, MR 2521492, S2CID 5327852, Zbl 1228.11143

arxiv.org

"un" is French for "one", and fun is a playful English word. For examples of this notation, see, e.g. Le Bruyn (2009), or the links by Le Bruyn, Connes, and Consani. Le Bruyn, Lieven (2009), "(non)commutative f‑un geometry", arXiv:0909.2522 [math.RA]
Toën & Vaquié (2005). Toën, Bertrand; Vaquié, Michel (2005), Au dessous de Spec Z, arXiv:math/0509684
Vezzani (2010) Vezzani, Alberto (2010), "Deitmar's versus Toën-Vaquié's schemes over F₁", Mathematische Zeitschrift, 271: 1–16, arXiv:1005.0287, doi:10.1007/s00209-011-0896-5, S2CID 119145251
Durov (2008). Durov, Nikolai (2008), "New Approach to Arakelov Geometry", arXiv:0704.2030 [math.AG]
Borger (2009). Borger, James (2009), Λ‑rings and the field with one element, arXiv:0906.3146
Connes & Consani (2010). Connes, Alain; Consani, Caterina (2010), "Schemes over F₁ and zeta functions", Compositio Mathematica, 146 (6), London Mathematical Society: 1383–1415, arXiv:0903.2024, doi:10.1112/S0010437X09004692, S2CID 14448430
Connes, Consani & Marcolli (2009) Connes, Alain; Consani, Caterina; Marcolli, Matilde (2009), "Fun with $\mathbb {F} _{1}$ ", Journal of Number Theory, 129 (6): 1532–1561, arXiv:0806.2401, doi:10.1016/j.jnt.2008.08.007, MR 2521492, S2CID 5327852, Zbl 1228.11143
Lorscheid (2018a) Lorscheid, Oliver (2018a), "F₁ for everyone", Jahresbericht der Deutschen Mathematiker-Vereinigung, 120 (2), Springer: 83–116, arXiv:1801.05337, doi:10.1365/s13291-018-0177-x, S2CID 119664210
(Lorscheid 2018b) Lorscheid, Oliver (2018b), "The geometry of blueprints part II: Tits–Weyl models of algebraic groups", Forum of Mathematics, Sigma, 6, arXiv:1201.1324, doi:10.1017/fms.2018.17, S2CID 117587513
Lorscheid (2016) Lorscheid, Oliver (2016), "A blueprinted view on F₁‑geometry", in Koen, Thas (ed.), Absolute arithmetic and F₁‑geometry, European Mathematical Society Publishing House, arXiv:1301.0083
Lorscheid (2015) Lorscheid, Oliver (2015), Scheme-theoretic tropicalization, arXiv:1508.07949
Giansiracusa & Giansiracusa (2016) Giansiracusa, Jeffrey; Giansiracusa, Noah (2016), "Equations of tropical varieties", Duke Mathematical Journal, 165 (18): 3379–3433, arXiv:1308.0042, doi:10.1215/00127094-3645544, S2CID 16276528
Deitmar (2006). Deitmar, Anton (2006), F₁‑schemes and toric varieties, arXiv:math/0608179, Bibcode:2006math......8179D
Deitmar (2006) Deitmar, Anton (2006), F₁‑schemes and toric varieties, arXiv:math/0608179, Bibcode:2006math......8179D
Connes & Consani (2010) Connes, Alain; Consani, Caterina (2010), "Schemes over F₁ and zeta functions", Compositio Mathematica, 146 (6), London Mathematical Society: 1383–1415, arXiv:0903.2024, doi:10.1112/S0010437X09004692, S2CID 14448430

doi.org

Vezzani (2010) Vezzani, Alberto (2010), "Deitmar's versus Toën-Vaquié's schemes over F₁", Mathematische Zeitschrift, 271: 1–16, arXiv:1005.0287, doi:10.1007/s00209-011-0896-5, S2CID 119145251
Connes & Consani (2010). Connes, Alain; Consani, Caterina (2010), "Schemes over F₁ and zeta functions", Compositio Mathematica, 146 (6), London Mathematical Society: 1383–1415, arXiv:0903.2024, doi:10.1112/S0010437X09004692, S2CID 14448430
Connes, Consani & Marcolli (2009) Connes, Alain; Consani, Caterina; Marcolli, Matilde (2009), "Fun with $\mathbb {F} _{1}$ ", Journal of Number Theory, 129 (6): 1532–1561, arXiv:0806.2401, doi:10.1016/j.jnt.2008.08.007, MR 2521492, S2CID 5327852, Zbl 1228.11143
Lorscheid (2018a) Lorscheid, Oliver (2018a), "F₁ for everyone", Jahresbericht der Deutschen Mathematiker-Vereinigung, 120 (2), Springer: 83–116, arXiv:1801.05337, doi:10.1365/s13291-018-0177-x, S2CID 119664210
(Lorscheid 2018b) Lorscheid, Oliver (2018b), "The geometry of blueprints part II: Tits–Weyl models of algebraic groups", Forum of Mathematics, Sigma, 6, arXiv:1201.1324, doi:10.1017/fms.2018.17, S2CID 117587513
Giansiracusa & Giansiracusa (2016) Giansiracusa, Jeffrey; Giansiracusa, Noah (2016), "Equations of tropical varieties", Duke Mathematical Journal, 165 (18): 3379–3433, arXiv:1308.0042, doi:10.1215/00127094-3645544, S2CID 16276528
Connes & Consani (2010) Connes, Alain; Consani, Caterina (2010), "Schemes over F₁ and zeta functions", Compositio Mathematica, 146 (6), London Mathematical Society: 1383–1415, arXiv:0903.2024, doi:10.1112/S0010437X09004692, S2CID 14448430

gilkalai.wordpress.com

Kalai, Gil (10 January 2018), "Subhash Khot, Dor Minzer and Muli Safra proved the 2-to-2 Games Conjecture", Combinatorics and more

harvard.edu

ui.adsabs.harvard.edu

Deitmar (2006). Deitmar, Anton (2006), F₁‑schemes and toric varieties, arXiv:math/0608179, Bibcode:2006math......8179D
Deitmar (2006) Deitmar, Anton (2006), F₁‑schemes and toric varieties, arXiv:math/0608179, Bibcode:2006math......8179D

ihes.fr

Soulé (1999) Soulé, Christophe (1999), On the field with one element (exposé à l'Arbeitstagung, Bonn, June 1999) (PDF), Preprint IHES

mathnet.ru

Smirnov (1992) Smirnov, Alexander (1992), "Hurwitz inequalities for number fields" (PDF), Algebra i Analiz (in Russian), 4 (2): 186–209

neverendingbooks.org

Kapranov & Smirnov (1995) Kapranov, Mikhail; Smirnov, Alexander (1995), Cohomology determinants and reciprocity laws: number field case (PDF)

numdam.org

Manin (1995). Manin, Yuri (1995), "Lectures on zeta functions and motives (according to Deninger and Kurokawa)" (PDF), Astérisque, 228 (4): 121–163

researchgate.net

Vezzani (2010) Vezzani, Alberto (2010), "Deitmar's versus Toën-Vaquié's schemes over F₁", Mathematische Zeitschrift, 271: 1–16, arXiv:1005.0287, doi:10.1007/s00209-011-0896-5, S2CID 119145251

sbseminar.wordpress.com

Noah Snyder, The field with one element, Secret Blogging Seminar, 14 August 2007.

semanticscholar.org

api.semanticscholar.org

Vezzani (2010) Vezzani, Alberto (2010), "Deitmar's versus Toën-Vaquié's schemes over F₁", Mathematische Zeitschrift, 271: 1–16, arXiv:1005.0287, doi:10.1007/s00209-011-0896-5, S2CID 119145251
Connes & Consani (2010). Connes, Alain; Consani, Caterina (2010), "Schemes over F₁ and zeta functions", Compositio Mathematica, 146 (6), London Mathematical Society: 1383–1415, arXiv:0903.2024, doi:10.1112/S0010437X09004692, S2CID 14448430
Connes, Consani & Marcolli (2009) Connes, Alain; Consani, Caterina; Marcolli, Matilde (2009), "Fun with $\mathbb {F} _{1}$ ", Journal of Number Theory, 129 (6): 1532–1561, arXiv:0806.2401, doi:10.1016/j.jnt.2008.08.007, MR 2521492, S2CID 5327852, Zbl 1228.11143
Lorscheid (2018a) Lorscheid, Oliver (2018a), "F₁ for everyone", Jahresbericht der Deutschen Mathematiker-Vereinigung, 120 (2), Springer: 83–116, arXiv:1801.05337, doi:10.1365/s13291-018-0177-x, S2CID 119664210
(Lorscheid 2018b) Lorscheid, Oliver (2018b), "The geometry of blueprints part II: Tits–Weyl models of algebraic groups", Forum of Mathematics, Sigma, 6, arXiv:1201.1324, doi:10.1017/fms.2018.17, S2CID 117587513
Giansiracusa & Giansiracusa (2016) Giansiracusa, Jeffrey; Giansiracusa, Noah (2016), "Equations of tropical varieties", Duke Mathematical Journal, 165 (18): 3379–3433, arXiv:1308.0042, doi:10.1215/00127094-3645544, S2CID 16276528
Connes & Consani (2010) Connes, Alain; Consani, Caterina (2010), "Schemes over F₁ and zeta functions", Compositio Mathematica, 146 (6), London Mathematical Society: 1383–1415, arXiv:0903.2024, doi:10.1112/S0010437X09004692, S2CID 14448430

ucr.edu

math.ucr.edu

univ-rouen.fr

Lescot (2009). Lescot, Paul (2009), Algebre absolue (PDF), archived from the original (PDF) on 27 July 2011, retrieved 21 November 2009

web.archive.org

Lescot (2009). Lescot, Paul (2009), Algebre absolue (PDF), archived from the original (PDF) on 27 July 2011, retrieved 21 November 2009

wiktionary.org

en.wiktionary.org

"un" is French for "one", and fun is a playful English word. For examples of this notation, see, e.g. Le Bruyn (2009), or the links by Le Bruyn, Connes, and Consani. Le Bruyn, Lieven (2009), "(non)commutative f‑un geometry", arXiv:0909.2522 [math.RA]

zbmath.org

Connes, Consani & Marcolli (2009) Connes, Alain; Consani, Caterina; Marcolli, Matilde (2009), "Fun with $\mathbb {F} _{1}$ ", Journal of Number Theory, 129 (6): 1532–1561, arXiv:0806.2401, doi:10.1016/j.jnt.2008.08.007, MR 2521492, S2CID 5327852, Zbl 1228.11143