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Date: 2008
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/148652
Description: We consider the following computational problem: we are given two coprime univariate polynomials f₀ and f₁ over a ring R and want to find whether after a small perturbation we can achieve a large gcd. ... More
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/44732
Description: Following T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a₁/q₁,…,an/qn with smaller denominators. We show that in the speci ... More
Full Text: Full Text
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/45592
Description: 8 page(s)
Full Text: Full Text
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/78525
Description: 18 page(s)
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/319752
Description: We view an algebraic curve over ℚ as providing a one-parameter family of number fields and obtain bounds for the average value of some standard prime ideal counting functions over these families which ... More
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/149776
Description: We discuss classical and quantum algorithms for solvability testing and finding integer solutions x,y of equations of the form af x  + bg y  = c over finite fields Fq. A quantum algorithm with time co ... More
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1244068
Description: 7 page(s)
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/320509
Description: 7 page(s)
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/148349
Description: 9 page(s)
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/44482
Description: 10 page(s)
Full Text: Full Text
Reviewed: Reviewed
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/78537
Description: 13 page(s)
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/319709
Description: We obtain a new lower bound on the number of prime divisors of integers whose g-ary expansion contains a fixed number of nonzero digits.
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: conference proceedings editorship
Identifier: http://hdl.handle.net/1959.14/1251921
Description: 265 page(s)
Date: 2008
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/44703
Description: We use a result of Y. Furuta to show that for almost all positive integers m, the cyclotomic field Q(exp(2πi/m)) has an infinite Hilbert p-class field tower with high rank Galois groups at each step, ... More
Full Text: Full Text
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