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  1. Hace 3 días · Deligne's proof of the Riemann hypothesis over finite fields used the zeta functions of product varieties, whose zeros and poles correspond to sums of zeros and poles of the original zeta function, in order to bound the real parts of the zeros of the original zeta function.

  2. Hace 5 días · It was really one of the high points of twentieth century mathematics when its proof was completed in the 70s by Pierre Deligne (building on foundations laid by Grothendieck). What I was hoping to do was introduce tools from algebraic geometry that enter into the proof of this theorem to get the graduate students and recent PhDs who were attending the conference interested in exploring them.

  3. 1 de jul. de 2024 · 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. 6 de jul. de 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.

  5. Hace 6 días · Abstract. Let $N>1$ be an integer coprime to 6 such that $N\notin \lbrace 5,7,13\rbrace$ and let $g=g (N)$ be the genus of the modular curve $X_0 (N)$ . We compute the intersection matrices relative to special fibres of the minimal regular model of $X_0 (N)$ .

  6. 20 de jun. de 2024 · The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 . What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. may click through for more detailed information.

  7. 9 de jul. de 2024 · One of the major results building on the results in SGA is Pierre Deligne's proof of the last of the open Weil conjectures in the early 1970s. Other authors who worked on one or several volumes of SGA include Michel Raynaud, Michael Artin, Jean-Pierre Serre, Jean-Louis Verdier, Pierre Deligne, and Nicholas Katz. Number theory