Source ledger
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
- Conrey2003RHOpen source ↗
The Riemann Hypothesis
J. Brian Conrey · 2003 · misc
J. Brian Conrey, “The Riemann Hypothesis,” Notices of the AMS 50 (2003), 341–353, https://www.ams.org/notices/200303/fea-conrey-web.pdf
- CossartPiltant2009ThreefoldsOpen source ↗
Resolution of singularities of threefolds in positive characteristic, I–II
Vincent Cossart and Olivier Piltant · 2008 · misc
Vincent Cossart and Olivier Piltant, “Resolution of singularities of threefolds in positive characteristic, I–II,” Journal of Algebra 320 (2008), 1051–1082 and 321 (2009), 1836–1976, DOI: 10.1016/j.jalgebra.2008.03.029 and 10.1016/j.jalgebra.2008.11.030.
- Cotterill2008RationalCurvesOpen source ↗
Rational curves of degree on a general quintic threefold
Ethan Cotterill · 2012 · misc
Ethan Cotterill, “Rational curves of degree on a general quintic threefold,” Quarterly Journal of Mathematics 63 (2012), 539–568, DOI: 10.1093/qmath/haq053, arXiv:0711.2758.
- Cummings2024FinitisticOpen source ↗
Left–right symmetry of finite finitistic dimension
Charley Cummings · 2024 · misc
Charley Cummings, “Left–right symmetry of finite finitistic dimension,” Bulletin of the London Mathematical Society 56 (2024), 1710–1720, DOI: 10.1112/blms.12954.
- DarmonGranville1995Open source ↗
On the equations and
Henri Darmon and Andrew Granville · 1995 · misc
Henri Darmon and Andrew Granville, “On the equations and ,” Bulletin of the London Mathematical Society 27 (1995), 513–543, DOI: 10.1112/blms/27.6.513.
- DarmonMerel1997Open source ↗
Winding quotient and some variants of Fermat’s last theorem
Henri Darmon and Loïc Merel · 1997 · misc
Henri Darmon and Loïc Merel, “Winding quotient and some variants of Fermat’s last theorem,” Journal für die reine und angewandte Mathematik 490 (1997), 81–100, DOI: 10.1515/crll.1997.490.81.
- Davenport2000MNTOpen source ↗
Multiplicative Number Theory
Harold Davenport · 2000 · misc
Harold Davenport, Multiplicative Number Theory, 3rd ed., revised by Hugh L. Montgomery, Graduate Texts in Mathematics 74, Springer (2000), DOI: 10.1007/978-1-4757-5927-3.
- Deligne1974WeilIOpen source ↗
La conjecture de Weil. I
Pierre Deligne · 1974 · misc
Pierre Deligne, “La conjecture de Weil. I,” Publications Mathématiques de l’IHÉS 43 (1974), 273–307, DOI: 10.1007/BF02684373.
- Deligne2006HodgeOpen source ↗
The Hodge conjecture
Pierre Deligne · 2006 · misc
Pierre Deligne, “The Hodge conjecture,” in The Millennium Prize Problems (2006), pp. 45–53, https://www.claymath.org/wp-content/uploads/2022/05/hodge.pdf
- Demailly2020GreenGriffithsLangOpen source ↗
Recent results on the Kobayashi and Green-Griffiths-Lang conjectures
Jean-Pierre Demailly · 2020 · misc
Jean-Pierre Demailly, “Recent results on the Kobayashi and Green-Griffiths-Lang conjectures,” Japanese Journal of Mathematics 15 (2020), 1–120, DOI: 10.1007/s11537-019-1566-3.
- Dirichlet1849Divisor
Über die Bestimmung der mittleren Werthe in der Zahlentheorie
P. G. L. Dirichlet · 1849 · misc
P. G. L. Dirichlet, “Über die Bestimmung der mittleren Werthe in der Zahlentheorie,” Abhandlungen der Königlich Preussischen Akademie der Wissenschaften (1849), 69–83.
- DittmannEtAl2023NIPOpen source ↗
Finite undecidability in NIP fields
Philip Dittmann, Erik Walsberg, and Jinhe Ye · 2023 · misc
Philip Dittmann, Erik Walsberg, and Jinhe Ye, “Finite undecidability in NIP fields,” Journal of Symbolic Logic 88 (2023), 1435–1454, DOI: 10.1017/jsl.2022.67.
- Dixmier1968WeylOpen source ↗
Sur les algèbres de Weyl
Jacques Dixmier · 1968 · misc
Jacques Dixmier, “Sur les algèbres de Weyl,” Bulletin de la Société Mathématique de France 96 (1968), 209–242, DOI: 10.24033/bsmf.1667.
- Dobrowolski1979Open source ↗
On a question of Lehmer and the number of irreducible factors of a polynomial
Edward Dobrowolski · 1979 · misc
Edward Dobrowolski, “On a question of Lehmer and the number of irreducible factors of a polynomial,” Acta Arithmetica 34 (1979), 391–401, DOI: 10.4064/aa-34-4-391-401.
- Donovan1976
Donovan1976
1979 · misc
Peter Donovan, formulation reported in the Santa Cruz Conference on Finite Groups (1979); historical attribution surveyed in Charles W. Eaton and Michael Livesey below (exact first printed source uncertain).
- Druzkowski1983Open source ↗
An effective approach to Keller’s Jacobian conjecture
Ludwik M. Drużkowski · 1983 · misc
Ludwik M. Drużkowski, “An effective approach to Keller’s Jacobian conjecture,” Mathematische Annalen 264 (1983), 303–313, DOI: 10.1007/BF01459125.
- EatonLivesey2018DonovanOpen source ↗
Donovan’s conjecture and blocks with abelian defect groups
Charles W. Eaton and Michael Livesey · 2019 · misc
Charles W. Eaton and Michael Livesey, “Donovan’s conjecture and blocks with abelian defect groups,” Proceedings of the AMS 147 (2019), 963–970, DOI: 10.1090/proc/14262, arXiv:1711.05357.
- EinsiedlerKatokLindenstrauss2006Open source ↗
Invariant measures and the set of exceptions to Littlewood’s conjecture
Manfred Einsiedler, Anatole Katok, and Elon Lindenstrauss · 2006 · misc
Manfred Einsiedler, Anatole Katok, and Elon Lindenstrauss, “Invariant measures and the set of exceptions to Littlewood’s conjecture,” Annals of Mathematics 164 (2006), 513–560, DOI: 10.4007/annals.2006.164.513.
- ElekSzabo2004SoficOpen source ↗
Sofic groups and direct finiteness
Gábor Elek and Endre Szabó · 2004 · misc
Gábor Elek and Endre Szabó, “Sofic groups and direct finiteness,” Journal of Algebra 280 (2004), 426–434, DOI: 10.1016/j.jalgebra.2004.06.023, arXiv:math/0305440.
- ElliottHalberstam1970
A conjecture in prime number theory
P. D. T. A. Elliott and H. Halberstam · 1970 · misc
P. D. T. A. Elliott and H. Halberstam, “A conjecture in prime number theory,” in Symposia Mathematica IV (INDAM, Rome, 1968/69), Academic Press (1970), 59–72.
- ElsholtzTao2013Open source ↗
Counting the number of solutions to the Erdős–Straus equation on unit fractions
Christian Elsholtz and Terence Tao · 2013 · misc
Christian Elsholtz and Terence Tao, “Counting the number of solutions to the Erdős–Straus equation on unit fractions,” Journal of the Australian Mathematical Society 94 (2013), 50–105, DOI: 10.1017/S1446788712000468, arXiv:1107.1010.
- Emerton2011FontaineMazurOpen source ↗
Local-global compatibility in the -adic Langlands programme for
Matthew Emerton · 2011 · misc
Matthew Emerton, “Local-global compatibility in the -adic Langlands programme for ,” draft/survey (2011), https://www.math.uchicago.edu/~emerton/pdffiles/lg.pdf
- ErdosStraus1948Open source ↗
Unsolved Problems in Number Theory
Paul Erdős, problem communicated to Ernst G. Straus (1948); historical source recorded in Richard K. Guy · 1948 · misc
Paul Erdős, problem communicated to Ernst G. Straus (1948); historical source recorded in Richard K. Guy, Unsolved Problems in Number Theory, 3rd ed., Springer (2004), Problem D11, DOI: 10.1007/978-0-387-26677-0.
- Euler1849PerfectOpen source ↗
Tractatus de numerorum doctrina capita sedecim quae supersunt
Leonhard Euler · 1849 · misc
Leonhard Euler, “Tractatus de numerorum doctrina capita sedecim quae supersunt,” Commentationes Arithmeticae 2 (posthumous 1849), Euler Archive E792, https://scholarlycommons.pacific.edu/euler-works/792/
- FerriJohnston2026LeopoldtOpen source ↗
Applications of representation theory and of explicit units to Leopoldt’s conjecture
Fabio Ferri and Henri Johnston · 2026 · misc
Fabio Ferri and Henri Johnston, “Applications of representation theory and of explicit units to Leopoldt’s conjecture,” Research in Number Theory 12 (2026), article 32, DOI: 10.1007/s40993-026-00717-2.
- FisherSanchezPeralta2026Open source ↗
Division rings for group algebras of virtually compact special groups and -manifold groups
Sam P. Fisher and Pablo Sánchez-Peralta · 2026 · misc
Sam P. Fisher and Pablo Sánchez-Peralta, “Division rings for group algebras of virtually compact special groups and -manifold groups,” Journal of Combinatorial Algebra 10 (2026), 153–193, DOI: 10.4171/JCA/89.
- FontaineMazur1995
Geometric Galois representations
Jean-Marc Fontaine and Barry Mazur · 1995 · misc
Jean-Marc Fontaine and Barry Mazur, “Geometric Galois representations,” in Elliptic Curves, Modular Forms, and Fermat’s Last Theorem, International Press (1995), 41–78.
- FriedlanderGranville1989Open source ↗
Limitations to the equi-distribution of primes. I
John Friedlander and Andrew Granville · 1989 · misc
John Friedlander and Andrew Granville, “Limitations to the equi-distribution of primes. I,” Annals of Mathematics 129 (1989), 363–382, DOI: 10.2307/1971450.
- FriedlanderIwaniec1998Open source ↗
The polynomial captures its primes
John Friedlander and Henryk Iwaniec · 1998 · misc
John Friedlander and Henryk Iwaniec, “The polynomial captures its primes,” Annals of Mathematics 148 (1998), 945–1040, DOI: 10.2307/121034.
- Fujino2011FundamentalOpen source ↗
Fundamental theorems for the log minimal model program
Osamu Fujino · 2011 · misc
Osamu Fujino, “Fundamental theorems for the log minimal model program,” Publications of RIMS 47 (2011), 727–789, DOI: 10.2977/PRIMS/57, arXiv:0909.4445.
- Fujita1987PolarizedOpen source ↗
On polarized manifolds whose adjoint bundles are not semipositive
Takao Fujita · 1987 · misc
Takao Fujita, “On polarized manifolds whose adjoint bundles are not semipositive,” Algebraic Geometry, Sendai 1985, Advanced Studies in Pure Mathematics 10 (1987), 167–178, DOI: 10.2969/aspm/01010167.
- GIMPSStatusOpen source ↗
GIMPSStatus
2026 · misc
Great Internet Mersenne Prime Search, official result/status archive, https://www.mersenne.org/primes/ (accessed 2026).
- Gille2010SerreIIOpen source ↗
Serre’s conjecture II: a survey
Philippe Gille · 2010 · misc
Philippe Gille, “Serre’s conjecture II: a survey,” in Quadratic Forms, Linear Algebraic Groups, and Cohomology, Developments in Mathematics 18, Springer (2010), 41–56, DOI: 10.1007/978-1-4419-6211-9_3, https://math.univ-lyon1.fr/homes-www/gille/publis/hyderabad.pdf
- GoldbachEuler1742Open source ↗
GoldbachEuler1742
1742 · misc
Christian Goldbach, letter to Leonhard Euler, 7 June 1742, Euler Archive E798 correspondence scan, https://scholarlycommons.pacific.edu/euler-works/798/
- GoldmakherEtAl2025ArtinOpen source ↗
Refinements of Artin’s primitive root conjecture
Leo Goldmakher et al. · 2025 · misc
Leo Goldmakher et al., “Refinements of Artin’s primitive root conjecture,” arXiv:2502.19601 (2025), https://arxiv.org/abs/2502.19601
- GoldstonMontgomery1987PairCorrelationOpen source ↗
Pair correlation of zeros and primes in short intervals
Daniel A. Goldston and Hugh L. Montgomery · 1987 · misc
Daniel A. Goldston and Hugh L. Montgomery, “Pair correlation of zeros and primes in short intervals,” in Analytic Number Theory and Diophantine Problems, Progress in Mathematics 70, Birkhäuser (1987), 183–203, DOI: 10.1007/978-1-4612-4816-3.
- Granville2008BHOpen source ↗
Harald Cramér and the distribution of prime numbers
Andrew Granville · 1995 · misc
Andrew Granville, “Harald Cramér and the distribution of prime numbers,” Scandinavian Actuarial Journal 1995, no. 1, 12–28, DOI: 10.1080/03461238.1995.10413946 (modern heuristic context).
- GreenGriffiths1980EntireCurvesOpen source ↗
Two applications of algebraic geometry to entire holomorphic mappings
Mark Green and Phillip Griffiths · 1980 · misc
Mark Green and Phillip Griffiths, “Two applications of algebraic geometry to entire holomorphic mappings,” in The Chern Symposium 1979, Springer (1980), 41–74, DOI: 10.1007/978-1-4613-8109-9_4.
- GrossZagier1986Open source ↗
Heegner points and derivatives of -series
Benedict H. Gross and Don B. Zagier · 1986 · misc
Benedict H. Gross and Don B. Zagier, “Heegner points and derivatives of -series,” Inventiones Mathematicae 84 (1986), 225–320, DOI: 10.1007/BF01388809.
- GrossbergVasey2017UniversalOpen source ↗
Shelah’s eventual categoricity conjecture in universal classes: part I
Rami Grossberg and Sebastien Vasey · 2017 · misc
Rami Grossberg and Sebastien Vasey, “Shelah’s eventual categoricity conjecture in universal classes: part I,” Selecta Mathematica 23 (2017), 1969–2000, DOI: 10.1007/s00029-016-0292-7, arXiv:1506.07024.
- Grothendieck1969HodgeOpen source ↗
Hodge’s general conjecture is false for trivial reasons
Alexander Grothendieck · 1969 · misc
Alexander Grothendieck, “Hodge’s general conjecture is false for trivial reasons,” Topology 8 (1969), 299–303, DOI: 10.1016/0040-9383(69)90016-0.
- Grothendieck1969Standard
Standard conjectures on algebraic cycles
Alexander Grothendieck · 1969 · misc
Alexander Grothendieck, “Standard conjectures on algebraic cycles,” in Algebraic Geometry, Bombay Colloquium 1968, Oxford University Press (1969), 193–199.
- Grothendieck1983FaltingsOpen source ↗
Brief an G. Faltings
Alexander Grothendieck · 1983 · misc
Alexander Grothendieck, “Brief an G. Faltings,” (1983), in Geometric Galois Actions 1, London Mathematical Society Lecture Note Series 242, Cambridge (1997), 49–58, DOI: 10.1017/CBO9780511622603.004.
- GuoSunWang2025VojtaToriOpen source ↗
Vojta’s conjecture for algebraic tori and applications over function fields
Ji Guo, Khoa D. Nguyen, and Julie Tzu-Yueh Wang · 2025 · misc
Ji Guo, Khoa D. Nguyen, and Julie Tzu-Yueh Wang, “Vojta’s conjecture for algebraic tori and applications over function fields,” Advances in Mathematics 470 (2025), article metadata, DOI: 10.1016/j.aim.2025.110256.
- HabeggerPila2016UnlikelyOpen source ↗
O-minimality and certain atypical intersections
Philipp Habegger and Jonathan Pila · 2016 · misc
Philipp Habegger and Jonathan Pila, “O-minimality and certain atypical intersections,” Annales scientifiques de l’École Normale Supérieure 49 (2016), 813–858, DOI: 10.24033/asens.2291, arXiv:1409.0771.
- Happel1991Homological
Homological conjectures in representation theory of finite-dimensional algebras
Dieter Happel · 1991 · misc
Dieter Happel, “Homological conjectures in representation theory of finite-dimensional algebras,” Sherbrooke lecture notes (1991); bibliographic version in Séminaire d’Algèbre Paul Dubreil et Marie-Paule Malliavin, LNM 1404.
- HarbourneRoé2003NagataOpen source ↗
Linear systems with multiple base points in
Brian Harbourne and Joaquim Roé · 2004 · misc
Brian Harbourne and Joaquim Roé, “Linear systems with multiple base points in ,” Advances in Geometry 4 (2004), 41–59, DOI: 10.1515/advg.2004.003, arXiv:math/0309064.
- Hardy1915Circle
On the expression of a number as the sum of two squares
G. H. Hardy · 1915 · misc
G. H. Hardy, “On the expression of a number as the sum of two squares,” Quarterly Journal of Pure and Applied Mathematics 46 (1915), 263–283.