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Profinite Groups
The presented book we offer here is not kind of usual book. You know, reading now doesn't mean to handle the printed book in your hand. You can get the soft file of profinite groups in your gadget.Expand
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On Artin's conjecture and Euclid's algorithm in global fields
This paper considers a generalization of Artin's conjecture on primes with prescribed primitive roots. The main result provides & necessary and sufficient condition for the conjectural density ofExpand
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The Development of the Number Field Sieve
The number field sieve is an algorithm to factor integers of the form $r^e-s$ for small positive $r$ and $s$. The authors present a report on work in progress on this algorithm. They informallyExpand
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Algorithms in algebraic number theory
In this paper we discuss the basic problems of algorithmic algebraic number theory. The emphasis is on aspects that are of interest from a purely mathematical point of view, and practical issues areExpand
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Chebotarëv and his density theorem
The Russian mathematician Nikolăı Grigor′evich Chebotarëv (1894–1947) is famous for his density theorem in algebraic number theory. His centenary was commemorated on June 15, 1994, at the UniversityExpand
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Finding small degree factors of lacunary polynomials
If K is an algcbraic number field of degree at most m over thc field Q of rational numbers, and / 6 K[X] is a polynomial with dt most k non-zero terms and with /(O) / 0, then for any positive integerExpand
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Approximatting rings of integers in number fields.
In this paper we study the algorithmic problem of finding the ring of integers of a given algebraic mimber field. In practice, this problem is often considered to be well-solved, but theoreticalExpand
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Euclidean ideal classes
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Explicit construction of universal deformation rings
Let G be a profinite group and let k be a field. By a k-representation of G we mean a finite dimensional vector space over k with the discrete topology, equipped with a continuous k-linear action ofExpand
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