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A Computational Introduction to Number Theory and Algebra by Shoup, Victor

Table of Contents: “…1 Basic properties of the integers -- 2 Congruences -- 3 Computing with large integers -- 4 Euclid's algorithm -- 5 The distribution of primes -- 6 Abelian groups -- 7 Rings -- 8 Finite and discrete probability distributions -- 9 Probabilistic algorithms -- 10 Probabilistic primality testing -- 11 Finding generators and discrete logarithms in Z∗p -- 12 Quadratic reciprocity and computing modular square roots -- 13 Modules and vector spaces -- 14 Matrices -- 15 Subexponential-time discrete logarithms and factoring -- 16 More rings -- 17 Polynomial arithmetic and applications -- 18 Finite Fields -- 19 Linearly generated sequences and applications -- 20 Algorithms for finite fields -- 21 Deterministic primality testing…”
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USING QUANTUM-CHEMICAL PARAMETERS FOR PREDICTING ANTI-RADICAL (НО∙) ACTIVITY OF RELATED STRUCTURES CONTAINING A CINNAMOYL FRAGMENT II. DERIVATIVES OF 2',4'-DIHYDROXYCHALCONE, FLAV... by Eduard T. Oganesyan, Stanislav S. Shatokhin

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