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Date: 2004
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/118667
Description: Let us fix a security parameter n and a sufficiently large encryption exponent e. We show that for a random choice of the RSA modulus m=pq, where p and q are n-bit primes, the decryption exponent d, d ... More
Reviewed: Reviewed
Date: 2006
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/26760
Description: We show that the fractional parts of n¹/w⁽ⁿ⁾, n¹/Ω⁽ⁿ⁾ and the geometric mean of the distinct prime factors of n are uniformly distributed modulo 1 as n ranges over all the positive integers, where Ω(n ... More
Reviewed: Reviewed
Date: 2006
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/20149
Description: We show that the fractional parts of the ratios n/ω(n), n/aω(n), n/τ(n) and n/aτ(n), where a ≥ 2 is a fixed integer and, as usual, ω(n) and τ(n) denote the number of prime divisors and the total numbe ... More
Reviewed: Reviewed
Date: 2009
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/130341
Description: 22 page(s)
Reviewed: Reviewed
Date: 2005
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1170838
Description: 17 page(s)
Reviewed: Reviewed
Date: 2006
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/9989
Description: We construct systems of bases of ℂ<sup>n</sup> which are mutually almost orthogonal and which might turn out to be useful for quantum computation. Our constructions are based on bounds of classical ex ... More
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/272100
Description: We present some theoretical bounds and algorithms concerning the statistics of different reduction types in the family of Fermat curves Yp = Xs(1 - X ), where p is prime and s = 1,..., p - 2.
Reviewed: Reviewed
Date: 2009
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/88214
Description: 7 page(s)
Date: 2009
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/130400
Description: Published Online First on 09 June 2009. We prove an asymptotic formula for the number of representations of an integer as sum of two Lehmer numbers which implies that under some natural restrictions e ... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/146987
Description: 16 page(s)
Reviewed: Reviewed
Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/328476
Description: Motivated by a recent application to hash functions suggested by O. Chevassut, P.-A. Fouque, P. Gaudry and D. Pointcheval, we study the frequency with which groups of points on an elliptic curve over ... More
Reviewed: Reviewed
Date: 2009
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/1228286
Description: 5 page(s)
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/118600
Description: Available online through Advance Access, published on August 2, 2008.
Reviewed: Reviewed
Date: 2006
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/43375
Description: Let χ(n) be a quadratic character modulo a prime p. For a fixed integer s ≠ 0, we estimate certain exponential sums with truncated L-functions [equation removed for for formatting reasons]. Our estima ... More
Full Text: Full Text
Reviewed: Reviewed
Date: 2005
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/1245100
Description: 9 page(s)
Reviewed: Reviewed