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
- Lehmer1932TotientOpen source ↗
On Euler’s totient function
D. H. Lehmer · 1932 · misc
D. H. Lehmer, “On Euler’s totient function,” Bulletin of the AMS 38 (1932), 745–751, DOI: 10.1090/S0002-9904-1932-05549-2.
- Lehmer1933MeasureOpen source ↗
Factorization of certain cyclotomic functions
D. H. Lehmer · 1933 · misc
D. H. Lehmer, “Factorization of certain cyclotomic functions,” Annals of Mathematics 34 (1933), 461–479, DOI: 10.2307/1968172.
- Lehmer1947TauOpen source ↗
The vanishing of Ramanujan’s function
D. H. Lehmer · 1947 · misc
D. H. Lehmer, “The vanishing of Ramanujan’s function ,” Duke Mathematical Journal 14 (1947), 429–433, DOI: 10.1215/S0012-7094-47-01436-1.
- LemkeOliverThornerZaman2024ArtinOpen source ↗
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin -functions
Robert J. Lemke Oliver, Jesse Thorner, and Asif Zaman · 2024 · misc
Robert J. Lemke Oliver, Jesse Thorner, and Asif Zaman, “An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin -functions,” Inventiones Mathematicae 235 (2024), 893–971, DOI: 10.1007/s00222-023-01232-2.
- Leopoldt1962Open source ↗
Zur Arithmetik in abelschen Zahlkörpern
Heinrich-Wolfgang Leopoldt · 1962 · misc
Heinrich-Wolfgang Leopoldt, “Zur Arithmetik in abelschen Zahlkörpern,” Journal für die reine und angewandte Mathematik 209 (1962), 54–71, DOI: 10.1515/crll.1962.209.54.
- Lewis1999HodgeOpen source ↗
A Survey of the Hodge Conjecture
James D. Lewis · 1999 · misc
James D. Lewis, A Survey of the Hodge Conjecture, 2nd ed., CRM Monograph Series 10, AMS (1999), DOI: 10.1090/crmm/010.
- Lindelof1908
Quelques remarques sur la croissance de la fonction
Ernst Lindelöf · 1908 · misc
Ernst Lindelöf, “Quelques remarques sur la croissance de la fonction ,” Bulletin des Sciences Mathématiques 32 (1908), 341–356.
- Linnell1993DivisionRingsOpen source ↗
Division rings and group von Neumann algebras
Peter A. Linnell · 1993 · misc
Peter A. Linnell, “Division rings and group von Neumann algebras,” Forum Mathematicum 5 (1993), 561–576, DOI: 10.1515/form.1993.5.561.
- Lueck2002L2Open source ↗
-Invariants: Theory and Applications to Geometry and K-Theory
Wolfgang Lück · 2002 · misc
Wolfgang Lück, -Invariants: Theory and Applications to Geometry and K-Theory, Ergebnisse 44, Springer (2002), DOI: 10.1007/978-3-662-04687-6.
- LuoRudnickSarnak1999Open source ↗
Notes on the generalized Ramanujan conjectures
Peter Sarnak · 2005 · misc
Peter Sarnak, “Notes on the generalized Ramanujan conjectures,” in Harmonic Analysis, the Trace Formula, and Shimura Varieties, Clay Mathematics Proceedings 4 (2005), 659–685, https://publications.ias.edu/sarnak/paper/511
- LutzSiskind2024MartinOpen source ↗
Part 1 of Martin’s Conjecture for order-preserving and measure-preserving functions
Patrick Lutz and Benjamin William Siskind · 2024 · misc
Patrick Lutz and Benjamin William Siskind, “Part 1 of Martin’s Conjecture for order-preserving and measure-preserving functions,” Journal of the American Mathematical Society, published online (2024), DOI: 10.1090/jams/1046.
- Macintyre1971FieldsOpen source ↗
On -categorical theories of fields
Angus Macintyre · 1971 · misc
Angus Macintyre, “On -categorical theories of fields,” Fundamenta Mathematicae 71 (1971), 1–25, DOI: 10.4064/fm-71-1-1-25.
- MacintyreWilkie1996Open source ↗
On the decidability of the real exponential field
Angus Macintyre and A. J. Wilkie · 1996 · misc
Angus Macintyre and A. J. Wilkie, “On the decidability of the real exponential field,” in Kreiseliana, A K Peters (1996), 441–467, DOI: 10.1007/978-94-015-8923-9_11.
- Malle2018BrauerKBOpen source ↗
On a minimal counterexample to Brauer’s -conjecture
Gunter Malle · 2018 · misc
Gunter Malle, “On a minimal counterexample to Brauer’s -conjecture,” Israel Journal of Mathematics 228 (2018), 527–556, DOI: 10.1007/s11856-018-1781-2.
- MalleMatzat1999Open source ↗
Inverse Galois Theory
Gunter Malle and B. Heinrich Matzat · 1999 · misc
Gunter Malle and B. Heinrich Matzat, Inverse Galois Theory, Springer Monographs in Mathematics (1999), DOI: 10.1007/978-3-662-12177-8.
- Marker2006SchanuelOpen source ↗
A remark on Zilber’s pseudoexponentiation
David Marker · 2006 · misc
David Marker, “A remark on Zilber’s pseudoexponentiation,” Journal of Symbolic Logic 71 (2006), 791–798, DOI: 10.2178/jsl/1154698576.
- Matiyasevich1970
Enumerable sets are Diophantine
Yuri Matiyasevich · 1970 · misc
Yuri Matiyasevich, “Enumerable sets are Diophantine,” Soviet Mathematics Doklady 11 (1970), 354–358.
- MatomakiRadziwillTao2023HigherUniformityOpen source ↗
Higher uniformity of bounded multiplicative functions in short intervals on average
Kaisa Matomäki, Maksym Radziwiłł, Terence Tao, Joni Teräväinen, and Tamar Ziegler · 2023 · misc
Kaisa Matomäki, Maksym Radziwiłł, Terence Tao, Joni Teräväinen, and Tamar Ziegler, “Higher uniformity of bounded multiplicative functions in short intervals on average,” Annals of Mathematics 197 (2023), 739–857, DOI: 10.4007/annals.2023.197.2.3.
- Mauldin1997BealOpen source ↗
A generalization of Fermat’s Last Theorem: the Beal conjecture and prize problem
R. Daniel Mauldin · 1997 · misc
R. Daniel Mauldin, “A generalization of Fermat’s Last Theorem: the Beal conjecture and prize problem,” Notices of the AMS 44 (1997), 1436–1437, https://www.ams.org/notices/199711/beal.pdf
- Maynard2015SmallGapsOpen source ↗
Small gaps between primes
James Maynard · 2015 · misc
James Maynard, “Small gaps between primes,” Annals of Mathematics 181 (2015), 383–413, DOI: 10.4007/annals.2015.181.1.7.
- Mersenne1644Open source ↗
Cogitata Physico-Mathematica
Marin Mersenne · 1644 · misc
Marin Mersenne, Cogitata Physico-Mathematica, Paris (1644), stable digitization: https://gallica.bnf.fr/ark:/12148/bpt6k81531h
- Milne1994TateOpen source ↗
The Tate conjecture over finite fields
J. S. Milne · 1994 · misc
J. S. Milne, “The Tate conjecture over finite fields,” in Motives, Proc. Sympos. Pure Math. 55, part 1, AMS (1994), 71–81, DOI: 10.1090/pspum/055.1/1265523.
- Mochizuki1999AnabelianOpen source ↗
The local pro- anabelian geometry of curves
Shinichi Mochizuki · 1999 · misc
Shinichi Mochizuki, “The local pro- anabelian geometry of curves,” Inventiones Mathematicae 138 (1999), 319–423, DOI: 10.1007/s002220050350.
- Montalban2019MartinOpen source ↗
Martin’s Conjecture: A Classification of the Naturally Occurring Turing Degrees
Antonio Montalbán · 2019 · misc
Antonio Montalbán, “Martin’s Conjecture: A Classification of the Naturally Occurring Turing Degrees,” Notices of the American Mathematical Society 66 (2019), DOI: 10.1090/noti1940.
- Montgomery1973PairCorrelationOpen source ↗
The pair correlation of zeros of the zeta function
Hugh L. Montgomery · 1973 · misc
Hugh L. Montgomery, “The pair correlation of zeros of the zeta function,” Proc. Sympos. Pure Math. 24, American Mathematical Society (1973), 181–193, DOI: 10.1090/pspum/024/9944.
- Moree2012ArtinOpen source ↗
Artin’s primitive root conjecture—a survey
Pieter Moree · 2012 · misc
Pieter Moree, “Artin’s primitive root conjecture—a survey,” Integers 12A (2012), article A13, arXiv:math/0412262, https://arxiv.org/abs/math/0412262
- Morley1970Open source ↗
The number of countable models
Michael Morley · 1970 · misc
Michael Morley, “The number of countable models,” Journal of Symbolic Logic 35 (1970), 14–18, DOI: 10.2307/2271150.
- Morrison1993KahlerOpen source ↗
Compactifications of moduli spaces inspired by mirror symmetry
David R. Morrison · 1993 · misc
David R. Morrison, “Compactifications of moduli spaces inspired by mirror symmetry,” Astérisque 218 (1993), 243–271, http://www.numdam.org/item/AST_1993__218__243_0/
- Moshchevitin2012OpenOpen source ↗
On some open problems in Diophantine approximation
Nikolay G. Moshchevitin · 2012 · misc
Nikolay G. Moshchevitin, “On some open problems in Diophantine approximation,” arXiv:1202.4539 (2012), https://arxiv.org/abs/1202.4539
- Nagata1959RationalOpen source ↗
On the fourteenth problem of Hilbert
Masayoshi Nagata · 1959 · misc
Masayoshi Nagata, “On the fourteenth problem of Hilbert,” American Journal of Mathematics 81 (1959), 766–772, DOI: 10.2307/2372927.
- Nakayama1958Open source ↗
On algebras with complete homology
Tadasi Nakayama · 1958 · misc
Tadasi Nakayama, “On algebras with complete homology,” Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 22 (1958), 300–307, DOI: 10.1007/BF02941919.
- Navarro2018CharactersOpen source ↗
A reduction theorem for the Alperin weight conjecture
Britta Späth · 2013 · misc
Britta Späth, “A reduction theorem for the Alperin weight conjecture,” Journal of the European Mathematical Society 15 (2013), 1993–2005, DOI: 10.4171/JEMS/413.
- Nielsen2007OddPerfectOpen source ↗
Odd perfect numbers have at least nine distinct prime factors
Pace P. Nielsen · 2007 · misc
Pace P. Nielsen, “Odd perfect numbers have at least nine distinct prime factors,” Mathematics of Computation 76 (2007), 2109–2126, DOI: 10.1090/S0025-5718-07-01990-4.
- OchemRao2012OddPerfectOpen source ↗
Odd perfect numbers are greater than
Pascal Ochem and Michaël Rao · 2012 · misc
Pascal Ochem and Michaël Rao, “Odd perfect numbers are greater than ,” Mathematics of Computation 81 (2012), 1869–1877, DOI: 10.1090/S0025-5718-2012-02563-4.
- OrlikTerao1992ArrangementsOpen source ↗
Arrangements of Hyperplanes
Peter Orlik and Hiroaki Terao · 1992 · misc
Peter Orlik and Hiroaki Terao, Arrangements of Hyperplanes, Grundlehren der mathematischen Wissenschaften 300, Springer (1992), DOI: 10.1007/978-3-662-02772-1.
- PanXi2023ARCOpen source ↗
Singular equivalences and Auslander–Reiten conjecture
Shengyong Pan and Changchang Xi · 2023 · misc
Shengyong Pan and Changchang Xi, “Singular equivalences and Auslander–Reiten conjecture,” Journal of Algebra 614 (2023), 546–579, DOI: 10.1016/j.jalgebra.2022.11.028.
- Pandey2025KotheOpen source ↗
Some aspects of Köthe conjecture
Santosh Kumar Pandey · 2025 · misc
Santosh Kumar Pandey, “Some aspects of Köthe conjecture” (2025), DOI: 10.2139/ssrn.5129999.
- PatelShankarWhang2021PCurvatureOpen source ↗
The rank two -curvature conjecture on generic curves
Anand Patel, Ananth N. Shankar, and Junho Peter Whang · 2021 · misc
Anand Patel, Ananth N. Shankar, and Junho Peter Whang, “The rank two -curvature conjecture on generic curves,” Advances in Mathematics 386 (2021), article 107800, 33 pp., DOI: 10.1016/j.aim.2021.107800.
- PetersenTommasi2026HodgeTateOpen source ↗
On the Hodge and Tate conjectures for moduli spaces of curves
Dan Petersen and Orsola Tommasi · 2026 · misc
Dan Petersen and Orsola Tommasi, “On the Hodge and Tate conjectures for moduli spaces of curves,” arXiv:2605.20453 (2026), https://arxiv.org/abs/2605.20453
- Pink2005ConjectureOpen source ↗
A common generalization of the conjectures of André–Oort, Manin–Mumford, and Mordell–Lang
Richard Pink · 2005 · misc
Richard Pink, “A common generalization of the conjectures of André–Oort, Manin–Mumford, and Mordell–Lang” (2005 manuscript), https://people.math.ethz.ch/~pink/ftp/AOMMML.pdf
- Polignac1849Open source ↗
Recherches nouvelles sur les nombres premiers
Alphonse de Polignac · 1849 · misc
Alphonse de Polignac, “Recherches nouvelles sur les nombres premiers,” Comptes rendus de l’Académie des sciences 29 (1849), 397–401, https://gallica.bnf.fr/ark:/12148/bpt6k2982v/f397
- Polymath2014GapsOpen source ↗
Variants of the Selberg sieve, and bounded intervals containing many primes
D. H. J. Polymath · 2014 · misc
D. H. J. Polymath, “Variants of the Selberg sieve, and bounded intervals containing many primes,” Research in the Mathematical Sciences 1 (2014), article 12, DOI: 10.1186/s40687-014-0012-7, arXiv:1407.4897.
- Poonen2003H10QOpen source ↗
Hilbert’s tenth problem and Mazur’s conjecture for large subrings of
Bjorn Poonen · 2003 · misc
Bjorn Poonen, “Hilbert’s tenth problem and Mazur’s conjecture for large subrings of ,” Journal of the AMS 16 (2003), 981–990, DOI: 10.1090/S0894-0347-03-00417-4, arXiv:math/0306277.
- PoonenSchaeferStoll2005Open source ↗
Twists of and primitive solutions to
Bjorn Poonen, Edward F. Schaefer, and Michael Stoll · 2007 · misc
Bjorn Poonen, Edward F. Schaefer, and Michael Stoll, “Twists of and primitive solutions to ,” Duke Mathematical Journal 137 (2007), 103–158, DOI: 10.1215/S0012-7094-07-13713-1, arXiv:math/0508174.
- Ramanujan1916Tau
On certain arithmetical functions
Srinivasa Ramanujan · 1916 · misc
Srinivasa Ramanujan, “On certain arithmetical functions,” Transactions of the Cambridge Philosophical Society 22 (1916), 159–184.
- Renze1998LehmerOpen source ↗
Computational evidence for Lehmer’s totient conjecture
John Renze · 1998 · misc
John Renze, “Computational evidence for Lehmer’s totient conjecture,” Mathematics of Computation 67 (1998), 347–350, DOI: 10.1090/S0025-5718-98-00890-4.
- Rickard1996SplendidOpen source ↗
Splendid equivalences: derived categories and permutation modules
Jeremy Rickard · 1996 · misc
Jeremy Rickard, “Splendid equivalences: derived categories and permutation modules,” Proceedings of the London Mathematical Society 72 (1996), 331–358, DOI: 10.1112/plms/s3-72.2.331.
- Riemann1859Open source ↗
Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse
Bernhard Riemann · 1859 · misc
Bernhard Riemann, “Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse,” Monatsberichte der Berliner Akademie (1859), pp. 671–680. Stable scan/translation: https://www.claymath.org/library/historical/riemann/