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References

837 bibliography records ground the catalog in original papers, established surveys and monographs, institutional problem lists, and formal-proof archives.

Complete bibliography

837 records

  1. Rivoal2009Gamma

    On the arithmetic nature of the values of the gamma function, Euler’s constant, and Gompertz’s constant

    Tanguy Rivoal · 2012 · misc

    Tanguy Rivoal, “On the arithmetic nature of the values of the gamma function, Euler’s constant, and Gompertz’s constant,” Michigan Mathematical Journal 61 (2012), 239–254, DOI: 10.1307/mmj/1339011525.

    Open source ↗
  2. Rossi2026AWC

    The Alperin weight conjecture and the Glauberman correspondence via character triples

    Damiano Rossi · 2026 · misc

    Damiano Rossi, “The Alperin weight conjecture and the Glauberman correspondence via character triples,” Algebra \& Number Theory 20 (2026), issue 2, https://msp.org/ant/2026/20-2/

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  3. Rouquier2001BlockTheory

    Block theory via stable and Rickard equivalences

    Raphaël Rouquier · 2001 · misc

    Raphaël Rouquier, “Block theory via stable and Rickard equivalences,” in Modular Representation Theory of Finite Groups, de Gruyter (2001), 101–146, DOI: 10.1515/9783110881455.101.

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  4. RouseThorner2019Lehmer

    The explicit Sato–Tate conjecture and densities pertaining to Lehmer-type questions

    Jeremy Rouse and Jesse Thorner · 2019 · misc

    Jeremy Rouse and Jesse Thorner, “The explicit Sato–Tate conjecture and densities pertaining to Lehmer-type questions,” Transactions of the AMS 372 (2019), 5123–5159, DOI: 10.1090/tran/7694, arXiv:1507.05603.

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  5. Sambale2014Blocks

    Blocks of Finite Groups and Their Invariants

    Benjamin Sambale · 2014 · misc

    Benjamin Sambale, Blocks of Finite Groups and Their Invariants, Lecture Notes in Mathematics 2127, Springer, Cham (2014), DOI: 10.1007/978-3-319-12006-5.

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  6. Sambale2019BoundingKB

    Bounding the number of characters in a block of a finite group

    Benjamin Sambale · 2019 · misc

    Benjamin Sambale, “Bounding the number of characters in a block of a finite group,” Advances in Mathematics 358 (2019), article 106861, DOI: 10.1016/j.aim.2019.106861.

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  7. SanchezPeralta2025Atiyah

    Universal localizations, Atiyah conjectures and graphs of groups

    Pablo Sánchez-Peralta · 2025 · misc

    Pablo Sánchez-Peralta, “Universal localizations, Atiyah conjectures and graphs of groups,” Geometric and Functional Analysis 35 (2025), 842–876, DOI: 10.1007/s00039-025-00710-4.

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  8. Sarnak2005Ramanujan

    On the generalized Ramanujan conjecture for GL(n)\mathrm{GL}(n)

    Wenzhi Luo, Zeév Rudnick, and Peter Sarnak · 1999 · misc

    Wenzhi Luo, Zeév Rudnick, and Peter Sarnak, “On the generalized Ramanujan conjecture for GL(n)\mathrm{GL}(n),” in Automorphic Forms, Automorphic Representations, and Arithmetic, Proc. Sympos. Pure Math. 66 (1999), 301–310, DOI: 10.1090/pspum/066.2/1703764.

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  9. Selberg1965Eigenvalue

    On the estimation of Fourier coefficients of modular forms

    Atle Selberg · 1965 · misc

    Atle Selberg, “On the estimation of Fourier coefficients of modular forms,” in Theory of Numbers, Proc. Sympos. Pure Math. 8, AMS (1965), 1–15, DOI: 10.1090/pspum/008/0182610.

    Open source ↗
  10. Serre1962Cohomologie

    Cohomologie galoisienne

    Jean-Pierre Serre · 1964 · misc

    Jean-Pierre Serre, Cohomologie galoisienne, Lecture Notes in Mathematics 5, Springer (1964; conjecture from 1962), DOI: 10.1007/BFb0108758.

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  11. Serre1981Lacunarity

    Quelques applications du théorème de densité de Chebotarev

    Jean-Pierre Serre · 1981 · misc

    Jean-Pierre Serre, “Quelques applications du théorème de densité de Chebotarev,” Publications Mathématiques de l’IHÉS 54 (1981), 123–201, DOI: 10.1007/BF02698692.

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  12. Shafarevich1954

    Construction of fields of algebraic numbers with given solvable Galois group

    I. R. Shafarevich · 1954 · misc

    I. R. Shafarevich, “Construction of fields of algebraic numbers with given solvable Galois group,” Izvestiya Akademii Nauk SSSR 18 (1954), 525–578.

  13. Shankar2018PCurvature

    The pp-curvature conjecture and monodromy around simple closed loops

    Ananth N. Shankar · 2018 · misc

    Ananth N. Shankar, “The pp-curvature conjecture and monodromy around simple closed loops,” Duke Mathematical Journal 167 (2018), no. 10, 1951–1980, DOI: 10.1215/00127094-2018-0008.

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  14. ShehperEtAl2026AC

    Probabilistic automaton classifier applied to examples related to the Andrews–Curtis conjecture

    Muhammad Shehper et al. · 2026 · misc

    Muhammad Shehper et al., “Probabilistic automaton classifier applied to examples related to the Andrews–Curtis conjecture,” Journal of Automated Reasoning (2026), DOI: 10.1007/s10817-026-09759-8.

    Open source ↗
  15. Shelah1971Categoricity

    Categoricity in 1\aleph_1 of sentences in Lω1,ωL_{\omega_1,\omega}

    Saharon Shelah · 1975 · misc

    Saharon Shelah, “Categoricity in 1\aleph_1 of sentences in Lω1,ωL_{\omega_1,\omega},” Israel Journal of Mathematics 20 (1975), 127–148, DOI: 10.1007/BF02757884.

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  16. Shelah2005Dependent

    Dependent first order theories, continued

    Saharon Shelah · 2009 · misc

    Saharon Shelah, “Dependent first order theories, continued,” Israel Journal of Mathematics 173 (2009), 1–60, DOI: 10.1007/s11856-009-0082-2, arXiv:math/0406440.

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  17. Shelah2024E102

    Categoricity and solvability of AEC

    Saharon Shelah · 2024 · misc

    Saharon Shelah, “Categoricity and solvability of AEC,” paper E102, 2024 revision, https://shelah.logic.at/files/240462/E102.pdf

    Open source ↗
  18. SlamanSteel1988DefinableDegrees

    Definable functions on degrees

    Theodore A. Slaman and John R. Steel · 1988 · misc

    Theodore A. Slaman and John R. Steel, “Definable functions on degrees,” in Cabal Seminar 81–85, Lecture Notes in Mathematics 1333, Springer (1988), 37–55, DOI: 10.1007/BFb0084969.

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  19. Smoktunowicz2001Kothe

    On some results related to Köthe’s conjecture

    Agata Smoktunowicz · 2001 · misc

    Agata Smoktunowicz, “On some results related to Köthe’s conjecture,” Serdica Mathematical Journal 27 (2001), 159–170, https://eudml.org/doc/11532

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  20. Sondow2003Gamma

    Criteria for irrationality of Euler’s constant

    Jonathan Sondow · 2003 · misc

    Jonathan Sondow, “Criteria for irrationality of Euler’s constant,” Proceedings of the AMS 131 (2003), 3335–3344, DOI: 10.1090/S0002-9939-03-07081-3, arXiv:math/0209070.

    Open source ↗
  21. Spath2013AWCReduction

    Character Theory and the McKay Conjecture

    Gabriel Navarro · 2018 · misc

    Gabriel Navarro, Character Theory and the McKay Conjecture, Cambridge Studies in Advanced Mathematics 175 (2018), DOI: 10.1017/9781108543613.

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  22. Steel1978Vaught

    On Vaught’s conjecture

    John R. Steel · 1978 · misc

    John R. Steel, “On Vaught’s conjecture,” in Cabals Seminar 76–77, Lecture Notes in Mathematics 689, Springer (1978), 193–208, DOI: 10.1007/BFb0066941.

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  23. Stix2013RationalPoints

    Rational Points and Arithmetic of Fundamental Groups

    Jakob Stix · 2013 · misc

    Jakob Stix, Rational Points and Arithmetic of Fundamental Groups, Lecture Notes in Mathematics 2054, Springer (2013), DOI: 10.1007/978-3-642-30674-7.

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  24. Tao2016LogChowla

    The logarithmically averaged Chowla and Elliott conjectures for two-point correlations

    Terence Tao · 2016 · misc

    Terence Tao, “The logarithmically averaged Chowla and Elliott conjectures for two-point correlations,” Forum of Mathematics, Pi 4 (2016), e8, DOI: 10.1017/fmp.2016.6.

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  25. Tao2022Collatz

    Almost all orbits of the Collatz map attain almost bounded values

    Terence Tao · 2022 · misc

    Terence Tao, “Almost all orbits of the Collatz map attain almost bounded values,” Forum of Mathematics, Pi 10 (2022), e12, DOI: 10.1017/fmp.2022.8, arXiv:1909.03562.

    Open source ↗
  26. Tarski1951Decision

    A Decision Method for Elementary Algebra and Geometry

    Alfred Tarski · 1951 · misc

    Alfred Tarski, A Decision Method for Elementary Algebra and Geometry, 2nd ed., University of California Press (1951).

  27. Tate1965Cycles

    Algebraic cycles and poles of zeta functions

    John Tate · 1965 · misc

    John Tate, “Algebraic cycles and poles of zeta functions,” in Arithmetical Algebraic Geometry, Harper \& Row (1965), 93–110.

  28. Temkin2018Desingularization

    Functorial desingularization over Q\mathbb Q: boundaries and the embedded case

    Michael Temkin · 2018 · misc

    Michael Temkin, “Functorial desingularization over Q\mathbb Q: boundaries and the embedded case,” Israel Journal of Mathematics 224 (2018), 455–504, DOI: 10.1007/s11856-018-1656-8.

    Open source ↗
  29. Tent2026CherlinZilber

    From the Cherlin–Zilber conjecture via sharply 22-transitive groups to the Burnside problem

    Katrin Tent · 2026 · misc

    Katrin Tent, “From the Cherlin–Zilber conjecture via sharply 22-transitive groups to the Burnside problem,” arXiv:2606.18207 (2026), https://arxiv.org/abs/2606.18207

    Open source ↗
  30. Terao1983Exponents

    The exponents of a free hypersurface

    Hiroaki Terao · 1983 · misc

    Hiroaki Terao, “The exponents of a free hypersurface,” in Singularities, Part 2 (Arcata, California, 1981), Proc. Sympos. Pure Math. 40, part 2, American Mathematical Society (1983), 561–566, DOI: 10.1090/pspum/040.2/713280.

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  31. Titchmarsh1986Zeta

    The Theory of the Riemann Zeta-Function

    E. C. Titchmarsh · 1986 · misc

    E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed., revised by D. R. Heath-Brown, Oxford University Press (1986), ISBN 978-0-19-853369-6.

  32. Totaro2010Cone

    The cone conjecture for Calabi–Yau pairs in dimension two

    Burt Totaro · 2010 · misc

    Burt Totaro, “The cone conjecture for Calabi–Yau pairs in dimension two,” Duke Mathematical Journal 154 (2010), 241–263, DOI: 10.1215/00127094-2010-040, arXiv:0901.3361.

    Open source ↗
  33. Tsuchimoto2005

    Endomorphisms of Weyl algebra and p-curvatures

    Yoshifumi Tsuchimoto · 2005 · misc

    Yoshifumi Tsuchimoto, “Endomorphisms of Weyl algebra and p-curvatures,” Osaka Journal of Mathematics 42 (2005), 435–452, https://projecteuclid.org/euclid.ojm/1153494307

    Open source ↗
  34. Valette2002BaumConnes

    Introduction to the Baum–Connes Conjecture

    Alain Valette · 2002 · misc

    Alain Valette, Introduction to the Baum–Connes Conjecture, Birkhäuser (2002), DOI: 10.1007/978-3-0348-8229-7.

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  35. Vandiver1929

    On power characters of singular integers in a properly irregular cyclotomic field

    H. S. Vandiver · 1930 · misc

    H. S. Vandiver, “On power characters of singular integers in a properly irregular cyclotomic field,” Transactions of the AMS 32 (1930), 391–408, DOI: 10.2307/1989472 (proposal dating needs final historical check).

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  36. Vasey2020Categoricity

    The categoricity spectrum of large abstract elementary classes

    Sebastien Vasey · 2020 · misc

    Sebastien Vasey, “The categoricity spectrum of large abstract elementary classes,” Selecta Mathematica 26 (2020), article 25, DOI: 10.1007/s00029-019-0511-x.

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  37. Vaughan1970ErdosStraus

    On a problem of Erdős, Straus and Schinzel

    R. C. Vaughan · 1970 · misc

    R. C. Vaughan, “On a problem of Erdős, Straus and Schinzel,” Mathematika 17 (1970), 193–198, DOI: 10.1112/S0025579300002850.

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  38. Vaught1961

    Denumerable models of complete theories

    Robert L. Vaught · 1961 · misc

    Robert L. Vaught, “Denumerable models of complete theories,” in Infinitistic Methods, Pergamon (1961), 303–321.

  39. Voisin2003Hodge

    Hodge Theory and Complex Algebraic Geometry II

    Claire Voisin · 2003 · misc

    Claire Voisin, Hodge Theory and Complex Algebraic Geometry II, Cambridge Studies in Advanced Mathematics 77 (2003), DOI: 10.1017/CBO9780511615177.

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  40. Voisin2014Bloch

    Bloch’s conjecture for Catanese and Barlow surfaces

    Claire Voisin · 2014 · misc

    Claire Voisin, “Bloch’s conjecture for Catanese and Barlow surfaces,” Journal of Differential Geometry 97 (2014), 149–175, DOI: 10.4310/jdg/1404912106, arXiv:1210.3935.

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  41. Voisin2025GeneralizedHodge

    Hodge and generalized Hodge conjectures, coniveau and algebraic cycles

    Claire Voisin · 2025 · misc

    Claire Voisin, “Hodge and generalized Hodge conjectures, coniveau and algebraic cycles,” Journal of Open Mathematical Problems 1 (2025), 16–51, https://jomprob.org/index.php/jomp/article/view/Vol-1Issue-1Paper-2

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  42. Vojta1987Diophantine

    Diophantine Approximations and Value Distribution Theory

    Paul Vojta · 1987 · misc

    Paul Vojta, Diophantine Approximations and Value Distribution Theory, Lecture Notes in Mathematics 1239, Springer (1987), DOI: 10.1007/BFb0072985.

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  43. Vojta1998Integral

    A more general abcabc conjecture

    Paul Vojta · 1998 · misc

    Paul Vojta, “A more general abcabc conjecture,” International Mathematics Research Notices 1998, 1103–1116, DOI: 10.1155/S1073792898000669.

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  44. Wagstaff1983Mersenne

    Divisors of Mersenne numbers

    Samuel S. Wagstaff Jr. · 1983 · misc

    Samuel S. Wagstaff Jr., “Divisors of Mersenne numbers,” Mathematics of Computation 40 (1983), 385–397, DOI: 10.1090/S0025-5718-1983-0679446-4.

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  45. Waldschmidt2000Diophantine

    Diophantine Approximation on Linear Algebraic Groups

    Michel Waldschmidt · 2000 · misc

    Michel Waldschmidt, Diophantine Approximation on Linear Algebraic Groups, Grundlehren 326, Springer (2000), DOI: 10.1007/978-3-662-11569-5.

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  46. Waldschmidt2006Open

    Open Diophantine problems

    Michel Waldschmidt · 2004 · misc

    Michel Waldschmidt, “Open Diophantine problems,” Moscow Mathematical Journal 4 (2004), 245–305, DOI: 10.17323/1609-4514-2004-4-1-245-305.

    Open source ↗
  47. Washington1997Cyclotomic

    Introduction to Cyclotomic Fields

    Lawrence C. Washington · 1997 · misc

    Lawrence C. Washington, Introduction to Cyclotomic Fields, 2nd ed., Graduate Texts in Mathematics 83, Springer (1997), DOI: 10.1007/978-1-4612-1934-7.

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  48. Wiese2014InverseGalois

    Applying modular Galois representations to the inverse Galois problem

    Gabor Wiese · 2014 · misc

    Gabor Wiese, “Applying modular Galois representations to the inverse Galois problem,” arXiv:1402.1210 (2014), https://arxiv.org/abs/1402.1210

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