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  1. 4 giorni fa · Deligne (1980) found and proved a generalization of the Weil conjectures, bounding the weights of the pushforward of a sheaf. Statement of the Weil conjectures. Suppose that X is a non-singular n -dimensional projective algebraic variety over the field Fq with q elements. The zeta function ζ(X, s) of X is by definition.

  2. 1 giorno fa · 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]

  3. 16 lug 2024 · Some biographies of past contributors to number theory. A glance at Paulo Ribenboim's Fermat's Last Theorem for amateurs, Franz Lemmermeyer's Reciprocity Laws and L.E. Dickson's History of the Theory of Numbers, reveals the existence of many past number theorists about whom little is known.

  4. 2 giorni fa · The seven selected problems span a number of mathematical fields, namely algebraic geometry, arithmetic geometry, geometric topology, mathematical physics, number theory, partial differential equations, and theoretical computer science.

  5. 16 lug 2024 · The generalized Riemann hypothesis was the last to surrender, being established by the Belgian Pierre Deligne in the early 1970s. Strangely, its resolution still leaves the original Riemann hypothesis unsolved.

  6. 15 lug 2024 · Enter Pierre Deligne, a brilliant young mathematician who managed to prove Weil's conjectures in 1974. Deligne's triumph was like discovering a hidden treasure chest,...

  7. 1 giorno fa · The Institute for Advanced Study is one of the world’s foremost centers for theoretical research and intellectual inquiry. Located in Princeton, NJ, IAS is dedicated to independent study across the sciences and humanities.