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  2. Hilbert's fifteenth problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_fifteenth_problem

    The entirety of the original problem statement is as follows: The problem consists in this: To establish rigorously and with an exact determination of the limits of their validity those geometrical numbers which Schubert especially has determined on the basis of the so-called principle of special position, or conservation of number, by means of the enumerative calculus developed by him.

  3. Riemann hypothesis - Wikipedia

    en.wikipedia.org/wiki/Riemann_hypothesis

    In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part ⁠ 1 / 2 ⁠. Many consider it to be the most important unsolved problem in pure mathematics. [1]

  4. Julian Sahasrabudhe - Wikipedia

    en.wikipedia.org/wiki/Julian_Sahasrabudhe

    Sahasrabudhe's work covers many topics such as Littlewood problems on polynomials, probability and geometry of polynomials, arithmetic Ramsey theory, Erdős covering systems, random matrices and polynomials, etc. [1] [3] In one of his more recent works in Ramsey theory, he published a paper on Exponential Patterns in Arithmetic Ramsey Theory in 2018 by building on an observation made by the ...

  5. Hilbert's second problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_second_problem

    In mathematics, Hilbert's second problem was posed by David Hilbert in 1900 as one of his 23 problems. It asks for a proof that arithmetic is consistent – free of any internal contradictions. Hilbert stated that the axioms he considered for arithmetic were the ones given in Hilbert (1900), which include a second order completeness axiom.

  6. Montgomery's pair correlation conjecture - Wikipedia

    en.wikipedia.org/wiki/Montgomery's_pair...

    Hugh Montgomery at Oberwolfach in 2008. In mathematics, Montgomery's pair correlation conjecture is a conjecture made by Hugh Montgomery () that the pair correlation between pairs of zeros of the Riemann zeta function (normalized to have unit average spacing) is

  7. List of unsolved problems in mathematics - Wikipedia

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

    Prizes are often awarded for the solution to a long-standing problem, and some lists of unsolved problems, such as the Millennium Prize Problems, receive considerable attention. This list is a composite of notable unsolved problems mentioned in previously published lists, including but not limited to lists considered authoritative, and the ...

  8. Memorials, tributes and donations pour in for New Orleans ...

    www.aol.com/orleans-attack-among-15-dead...

    Among the 14 people killed in the New Orleans attack: a warehouse manager, an account executive, an aspiring nurse and two loving parents.

  9. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Mutual fund separation theorem (financial mathematics) Müntz–Szász theorem (functional analysis) Mycielski's theorem (graph theory) Myers theorem (differential geometry) Myhill–Nerode theorem (formal languages)