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1. |
Record Nr. |
UNINA9910458424203321 |
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Autore |
Schertz Reinhard <1943-> |
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Titolo |
Complex multiplication / / Reinhard Schertz [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2010 |
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ISBN |
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1-107-20891-2 |
1-139-63666-9 |
1-282-65186-2 |
9786612651861 |
0-511-77543-1 |
0-511-77619-5 |
0-511-77361-7 |
0-511-77254-8 |
0-511-77689-6 |
0-511-77467-2 |
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Descrizione fisica |
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1 online resource (xiii, 361 pages) : digital, PDF file(s) |
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Collana |
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New mathematical monographs ; ; 15 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di contenuto |
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Preface -- 1. Elliptic functions -- 2. Modular functions -- 3. Basic facts from number theory -- 4. Factorisation of singular values -- 5. The reciprocity law -- 6. Generation of ring class fields and ray class fields -- 7. Integral basis in ray class fields -- 8. Galois module structure -- 9. Berwick's congruences -- 10. Cryptographically relevant elliptic curves -- 11. The class number formulas of Curt Meyer -- 12. Arithmetic interpretation of class number formulas -- References -- Index of notation -- Index. |
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Sommario/riassunto |
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This is a self-contained 2010 account of the state of the art in classical complex multiplication that includes recent results on rings of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the theory of elliptic functions, modular functions and quadratic number fields and providing a concise summary of the results from class field |
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theory. The main results are accompanied by numerical examples, equipping any reader with all the tools and formulas they need. Topics covered include: the construction of class fields over quadratic imaginary number fields by singular values of the modular invariant j and Weber's tau-function; explicit construction of rings of integers in ray class fields and Galois module structure; the construction of cryptographically relevant elliptic curves over finite fields; proof of Berwick's congruences using division values of the Weierstrass p-function; relations between elliptic units and class numbers. |
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2. |
Record Nr. |
UNINA9910595068403321 |
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Titolo |
Selected Papers from the 8th International Conference of Biotechnologies, Present and Perspectives |
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Pubbl/distr/stampa |
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Basel, : MDPI Books, 2022 |
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Descrizione fisica |
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1 electronic resource (190 pages) |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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The Special Issue reprint presents the latest developments in the food industry field, with a specific focus on the biotechnological processes that take place in various branches of the food industry, which have major implications in determining the overall quality of food products. This Special Issue capitalizes the experience of the authors in the latest advancements and future trends in biotechnologies from the food industry, applied engineering sciences, food product quality, food safety, environment protection, and equipment for the food industry. |
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3. |
Record Nr. |
UNINA9910495729103321 |
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Autore |
Aussel Michel |
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Titolo |
Le docteur Ange Guépin : Nantes, du Saint-Simonisme à la République / Michel Aussel |
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Pubbl/distr/stampa |
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Rennes, : Presses universitaires de Rennes, 2017 |
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ISBN |
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Descrizione fisica |
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1 online resource (521 p.) |
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Altri autori (Persone) |
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Soggetti |
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History |
socialisme |
médecin |
1848 |
Commissaire de la République |
progrès scientifique |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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Ange Guépin (1803-1873) a marqué l'histoire politique, intellectuelle et sociale de Nantes de 1830 à 1870. Médecin ophtalmologue réputé et homme politique, il mérite d'être sorti et de sa légende et de l'oubli. Esprit encyclopédique, il communique une fougue toute personnelle à la volonté de changer le monde, à l'engagement concret dans la lutte contre la misère et dans la propagation du savoir. Apportant sa propre contribution aux utopies socialistes, il prend la tête du mouvement saint-simonien à Nantes, soutient la création d'un phalanstère de Fourier et affiche sa sympathie pour le communisme de Cabet. Il entre dans l'histoire avec la révolution de 1848, au cours de laquelle il est promu Commissaire de la République. Il n'en gardera pas moins des réserves constantes à l'égard du suffrage universel, convaincu que la transformation sociale doit précéder les réformes politiques. Il a la conviction d'un progrès ininterrompu de l'Humanité fondé sur le développement de la science. Éradiquer l'ignorance et la misère, garantir à chacun le droit à l'éducation (notamment pour les filles), au travail et à la retraite seront les combats de toute sa vie. Le docteur |
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espère ainsi en finir avec les révolutions et conjurer le spectre de la lutte des classes. L'ouvrage propose une biographie de Guépin, l'édition de son « Journal » resté manuscrit (1833-1839), une brochure peu connue, Les véritables intérêts de la bourgeoisie (1848) ainsi que sa correspondance inédite avec Prosper Enfantin (1834-1859). |
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