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Publications Influence

Profinite Groups

- H. Lenstra
- 2003

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

535 21- PDF

On Artin's conjecture and Euclid's algorithm in global fields

- H. Lenstra
- Mathematics
- 1 December 1977

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 of… Expand

90 15- PDF

The Development of the Number Field Sieve

- A. K. Lenstra, H. Lenstra
- Mathematics
- 1 November 1993

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 informally… Expand

331 12

Algorithms in algebraic number theory

- H. Lenstra
- Mathematics
- 1 April 1992

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 are… Expand

158 11- PDF

Chebotarëv and his density theorem

- P. Stevenhagen, H. Lenstra
- Mathematics
- 1 March 1996

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 University… Expand

182 7- PDF

Finding small degree factors of lacunary polynomials

- H. Lenstra
- Mathematics
- 1999

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 integer… Expand

76 7- PDF

On the calculation of regulators and class numbers of quadratic fields

- H. Lenstra
- Mathematics
- 1982

107 7

Approximatting rings of integers in number fields.

- J. Buchmann, H. Lenstra
- Mathematics
- 1994

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 theoretical… Expand

50 6- PDF

Explicit construction of universal deformation rings

- B. Smit, H. Lenstra
- Mathematics
- 1997

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 of… Expand

68 4