Mauldin’s conjecture

Target entity: Mauldin’s conjecture
Context triple: [Beal conjecture, alsoKnownAs, Mauldin’s conjecture]

• A. Green’s conjecture
  Green’s conjecture is a central statement in algebraic geometry that predicts a precise relationship between the syzygies of the canonical embedding of a smooth projective curve and its Clifford index.
• B. Tate Conjecture
  The Tate Conjecture is a major open problem in arithmetic geometry that predicts a deep connection between algebraic cycles on varieties over finite fields and their Galois-invariant étale cohomology classes.
• C. Fontaine–Mazur conjecture
  The Fontaine–Mazur conjecture is a central open problem in number theory that predicts which p-adic Galois representations of number fields arise from geometry or from automorphic forms.
• D. Mazur's torsion theorem
  Mazur's torsion theorem is a landmark result in number theory that classifies all possible torsion subgroups of elliptic curves over the rational numbers.
• E. Artin’s conjecture on L-functions
  Artin’s conjecture on L-functions is a major unproven hypothesis in number theory asserting that nontrivial Artin L-functions associated to Galois representations are entire, with deep implications for the distribution of primes and the structure of number fields.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Mauldin’s conjecture
Target entity description: Mauldin’s conjecture, more commonly known as the Beal conjecture, is an unsolved problem in number theory asserting that any solution in positive integers to A^x + B^y = C^z with exponents greater than 2 must have A, B, and C sharing a common prime factor.

• A. Green’s conjecture
  Green’s conjecture is a central statement in algebraic geometry that predicts a precise relationship between the syzygies of the canonical embedding of a smooth projective curve and its Clifford index.
• B. Tate Conjecture
  The Tate Conjecture is a major open problem in arithmetic geometry that predicts a deep connection between algebraic cycles on varieties over finite fields and their Galois-invariant étale cohomology classes.
• C. Fontaine–Mazur conjecture
  The Fontaine–Mazur conjecture is a central open problem in number theory that predicts which p-adic Galois representations of number fields arise from geometry or from automorphic forms.
• D. Mazur's torsion theorem
  Mazur's torsion theorem is a landmark result in number theory that classifies all possible torsion subgroups of elliptic curves over the rational numbers.
• E. Artin’s conjecture on L-functions
  Artin’s conjecture on L-functions is a major unproven hypothesis in number theory asserting that nontrivial Artin L-functions associated to Galois representations are entire, with deep implications for the distribution of primes and the structure of number fields.
• F. None of above. chosen