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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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Politikvorschläge und ZusammenfassungLet . ε {±1}, ., and .. In this chapter we define the product of lattices in A and characterize the two-dimensional lattices in A whose product is a lattice. By a form we mean an irrational form with real coefficients and non-zero discriminant. By an . we mean an integer Δ with Δ ≡ 0, 1 mod 4 which is not a square in ℤ.
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https://doi.org/10.1007/978-3-531-90181-7Let . be a real quadratic order, let Δ be the discriminant of ., and let . be the regulator of ..
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Internationale Politik studierenIn this chapter, we will discuss several ways in which the theory of binary quadratic forms can be employed for cryptographic applications. Goals of cryptography encompass the maintenance of confidentiality, authenticity, integrity and non-reputability of electronic documents.
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Forms, Bases, Points, and Lattices,In this chapter we explain the correspondence between binary quadratic forms with real coefficients and points, R-bases, and lattices in the real plane. This correspondence will enable us to use quadratic number fields and the geometry of numbers in the theory of forms.
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