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  2. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The conjecture is that there is a simple way to tell whether such equations have a finite or infinite number of rational solutions. More specifically, the Millennium Prize version of the conjecture is that, if the elliptic curve E has rank r , then the L -function L ( E , s ) associated with it vanishes to order r at s = 1 .

  3. List of conjectures - Wikipedia

    en.wikipedia.org/wiki/List_of_conjectures

    Serre's multiplicity conjectures: commutative algebra: Jean-Pierre Serre: 221 Singmaster's conjecture: binomial coefficients: David Singmaster: 8 Standard conjectures on algebraic cycles: algebraic geometry: n/a: 234 Tate conjecture: algebraic geometry: John Tate: Toeplitz' conjecture: Jordan curves: Otto Toeplitz: Tuza's conjecture: graph ...

  4. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Homological conjectures in commutative algebra; Jacobson's conjecture: the intersection of all powers of the Jacobson radical of a left-and-right Noetherian ring is precisely 0. Kaplansky's conjectures; Köthe conjecture: if a ring has no nil ideal other than {}, then it has no nil one-sided ideal other than {}.

  5. 10 Hard Math Problems That Even the Smartest People in the ...

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    Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...

  6. Mathematicians Solved a Notorious Old Problem, Shaking Up ...

    www.aol.com/mathematicians-solved-notorious-old...

    Brauer laid out a list of problems that help to define representation theory. Number 23 is the Height Zero Conjecture, in which Brauer claims that abelian groups must have a particular quality ...

  7. Category:Unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/Category:Unsolved_problems...

    This category is intended for all unsolved problems in mathematics, including conjectures. Conjectures are qualified by having a suggested or proposed hypothesis. There may or may not be conjectures for all unsolved problems.

  8. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    The Collatz conjecture states that all paths eventually lead to 1. The Collatz conjecture [a] is one of the most famous unsolved problems in mathematics. The conjecture asks whether repeating two simple arithmetic operations will eventually transform every positive integer into 1.

  9. Category:Conjectures that have been proved - Wikipedia

    en.wikipedia.org/wiki/Category:Conjectures_that...

    Manin–Mumford conjecture; Marden tameness conjecture; Mariño–Vafa conjecture; Milin conjecture; Milnor conjecture (K-theory) Milnor conjecture (knot theory) Modularity theorem; Mordell conjecture; Mordell–Lang conjecture; Mordell's conjecture; Morita conjectures