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Introduction to Analytic and Probabilistic Number Theory (Graduate Studies in Mathematics)

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Introduction to Analytic and Probabilistic Number Theory (Graduate Studies in Mathematics)

4.85 43,320 ratings · 6,711 reviews
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Overview: Solide initiation aux méthodes analytiques et probabilistes de l'arithmétique, ce livre constitue une référence indispensable. Ne s'appuyant que sur les connaissances traditionnellement enseignées en licence et master, il fournit en effet aux étudiants (notamment ceux qui préparent l'agrégation ou le CAPES de mathématiques) et aux jeunes chercheurs une présentation systématique, cohérente et autonome du domaine. C'est également un précieux instrument de travail pour les mathématiciens confirmés sur nombre de questions fondamentales. Les méthodes plus que les résultats sous-tendent le propos, de sorte que l'intérêt de l'ouvrage dépasse largement le cadre strict de la théorie des nombres. Les chapitres sont par ailleurs complétés de notes détaillées et de plus de 300 exercices de niveaux variés, certains débouchant sur des problèmes de recherche. Cette troisième édition d'un texte devenu classique, inclus dans la bibliothèque de l'agrégation depuis de nombreuses années, offre un contenu renouvelé et considérablement enrichi. Elle comporte en particulier d'importants développements inédits, des points de vue originaux sur plusieurs branches essentielles de l'arithmétique, et une mise en perspective de la bibliographie la plus actuelle.

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Published July 31, 2015
ISBN 25604008
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Gérald Tenenbaum
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Gérald Tenenbaum is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, Gérald Tenenbaum can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.

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James Brown
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Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem.
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I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem.
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Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author.
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Donna Harris
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I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend.
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I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece.
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Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author.
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Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. Worth every moment spent reading.
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Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading.
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Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece.
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I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem.
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Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend.
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Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece.
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Michelle Diaz October 25, 2024
Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece.
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Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author.
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I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author.
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Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem.
Joshua Lee
Joshua Lee May 11, 2024
I thoroughly enjoyed the elegance of it. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall.
Elizabeth Lewis
Elizabeth Lewis February 02, 2025
Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading.
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Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre.
Anthony Martinez
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Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author.
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Kenneth Reyes April 06, 2024
I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars.
Jessica Nelson
Jessica Nelson January 08, 2024
A decent, if standard, experience. It verged on repetitive in the second act. A more concise edit would have served it well. Suitable if your reading queue is empty.
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Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem.
Eric Scott
Eric Scott March 30, 2025
A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author.
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A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem.
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Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. Quite impressive overall.
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A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars.
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A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem.
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Jessica Mitchell January 06, 2024
A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. Quite impressive overall.
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I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars.
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Took a moment to build, but the payoff was spectacular. A brilliant concept executed with flair. Just a few pacing choices I would change. I would highly recommend this to discerning readers.
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