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Titlebook: Binary Quadratic Forms; An Algorithmic Appro Johannes Buchmann,Ulrich Vollmer Book 2007 Springer-Verlag Berlin Heidelberg 2007 Number theor

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發(fā)表于 2025-3-21 16:42:51 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Binary Quadratic Forms
期刊簡稱An Algorithmic Appro
影響因子2023Johannes Buchmann,Ulrich Vollmer
視頻videohttp://file.papertrans.cn/187/186282/186282.mp4
發(fā)行地址Buchmann is a leader in number theory in the world.Only book focussing on the algorithmic aspects of the theory
學(xué)科分類Algorithms and Computation in Mathematics
圖書封面Titlebook: Binary Quadratic Forms; An Algorithmic Appro Johannes Buchmann,Ulrich Vollmer Book 2007 Springer-Verlag Berlin Heidelberg 2007 Number theor
影響因子This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X,Y)= aX +bXY +cY with integer coe?cients a, b, c, the mathem- ical theories that permit the solution of these problems, and applications to cryptography. A considerable part of the theory is developed for forms with real coe?cients and it is shown that forms with integer coe?cients appear in a natural way. Much of the progress of number theory has been stimulated by the study of concrete computational problems. Deep theories were developed from the classic time of Euler and Gauss onwards to this day that made the solutions ofmanyof theseproblemspossible.Algorithmicsolutionsandtheirproperties became an object of study in their own right. Thisbookintertwinestheexpositionofoneveryclassicalstrandofnumber theory with the presentation and analysis of algorithms both classical and modern which solve its motivating problems. This algorithmic approach will lead the reader, we hope, not only to an understanding of theory and solution methods, but also to an appreciation of the e?ciency with which solutions can be reached. The computer age has led to a marked advancement of algorithmic - search. On the one hand
Pindex Book 2007
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沙發(fā)
發(fā)表于 2025-3-21 22:25:54 | 只看該作者
Die Zusammenarbeit von Regierungention of these problems, and applications to cryptography. A considerable part of the theory is developed for forms with real coe.cients and it is shown that forms with integer coe.cients appear in a natural way.
板凳
發(fā)表于 2025-3-22 02:30:50 | 只看該作者
Die Kosten der Politikkoordination introduce transformations that do not change the minimum of a form. Also, the numbers that can be represented by f remain the same. Those transformations will enable us to simplify the representation problem and the minimum problem.
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Introduction,tion of these problems, and applications to cryptography. A considerable part of the theory is developed for forms with real coe.cients and it is shown that forms with integer coe.cients appear in a natural way.
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Reduction of Indefinite Forms,ndefinite forms can only be used to decide equivalence of integral indefinite forms and the decision algorithm is much less efficient than in the positive definite case since reduction is no longer unique. Reduction theory also solves the minimum problem for integral indefinite forms.
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發(fā)表于 2025-3-23 08:55:55 | 只看該作者
Die Zusammenarbeit von Regierungention of these problems, and applications to cryptography. A considerable part of the theory is developed for forms with real coe.cients and it is shown that forms with integer coe.cients appear in a natural way.
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