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Arithmetic Tales
Number theory was once famously labeled the queen of mathematics by Gauss. The multiplicative structure of the integers in particular deals with many fascinating problems some of which are easy to understand but very difficult to solve. In the past, a variety of very different techniques has been applied to further its understanding. Classical methods in analytic theory such as Mertens’ theorem and Chebyshev’s inequalities and the celebrated Prime Number Theorem give estimates for the distribution of prime numbers. Later on, multiplicative structure of integers leads to multiplicative arithmetical functions for which there are many important examples in number theory. Their theory involv...
Arithmetic Tales
This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses. Extensively revised and extended, this Advanced Edition takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. The core themes of the distribution of prime numbers, arithmetic functions, lattice points, exponential sums and number fields now contain many more details and additional topics. In addition to covering a range of classical and standard results, some recent work on a variety of topics is discussed in the book, including arithmetic functions of several variables, bou...
Olivier Mosset
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Excursions in Multiplicative Number Theory
This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors. Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided “walks” invite readers ...
Ouarda
Ouarda, intelligente et belle jeune femme d'origine maghrébine qui a grandi dans les quartiers défavorisés de Nîmes, est une brillante étudiante en droit possédant tous les atouts pour réussir. Mais devenir avocate ne lui suffit pas : ce que la jeune femme veut, c'est effacer toutes les traces de ses origines et faire partie de la grande bourgeoisie nîmoise. Prise d'une ambition démesurée et d'un goût du pouvoir sans limite, elle est prête à tout: magouilles, chantage, dissimulation, manipulation et sexe sont les armes qu'elle utilise sans états d'âme pour atteindre son but. Peu lui importe de flirter avec le banditisme, de profiter d'hommes libidineux ou encore de détruire d...
Livres hebdo
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Les Jardins d'Istanbul
Eric Le Nabour fait revivre les dernières heures de l'Empire ottoman à travers l'histoire de Marie, qui découvre la magie d'Istanbul et enquête sur la mystérieuse disparition de son époux. Eric Le Nabour fait revivre les dernières heures de l'Empire ottoman à travers l'histoire de Marie qui découvre la magie d'Istanbul alors qu'elle veut faire la lumière sur la disparition de son mari survenue quatre ans plus tôt. 1894. Marie Dehenin arrive dans l'Empire ottoman, avec ses deux filles. De ce continent en partie démembré, surendetté, elle ignore tout. C'est dans un contexte fragile qu'elle vient s'approprier l'héritage qu'elle a reçu de son mari défunt, un magnifique yali*. Ma...
Crisis and the Arts: Exquisite Dada : a comprehensive bibliography
Despite the short life of the Dada movement, it has provoked the interest of art historians, museum directors and literary critics from all over the world. The present volume comprises the literary texts of individual Dadaists and periodicals from all Dada centers as well as books, articles, exhibition catalogs and bibliographies by international scholars. Jo rgen Scha fer's Exquisite Dada is the most exhaustive bibliography on Dada that has ever been compiled so far. By giving a synopsis of some decades of scholarly research, it provides an indispensable source for further studies on the matter.
