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Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/126841
Description: 11 page(s)
Full Text: Full Text
Reviewed: Reviewed
Date: 2009
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/130393
Description: 6 page(s)
Reviewed: Reviewed
Date: 2009
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/84596
Description: 11 page(s)
Full Text: Full Text
Reviewed: Reviewed
Date: 2009
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/92393
Description: It has been shown by J.-P. Serre that the largest possible number of Fq-rational points on curves of small genus over the finite field Fq of q elements depends on the divisibility property p | [2q½], ... More
Date: 2009
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/84605
Description: 9 page(s)
Full Text: Full Text
Reviewed: Reviewed
Date: 2009
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/130337
Description: We show that for a fixed integer base g ≥ 2 the palindromes to base g which are k-powers form a very thin set in the set of all base g palindromes. On the other hand, we also give a lower bound which ... More
Reviewed: Reviewed
Date: 2009
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/84714
Description: Let b ≥ 2 be an integer and let E/ℚ be a fixed elliptic curve. In this paper, we estimate the number of primes p ≤ x such that the number of points nE(p) on the reduction of E modulo p is a base b pri ... More
Full Text: Full Text
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: 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/1959.14/319815
Description: 10 page(s)
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/320341
Description: For a positive integer n we let τ(n) denote the number of its positive divisors. In this paper, we obtain lower and upper bounds for the average value of the ratio τ(n + 1)/τ(n) as n ranges through po ... More
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1089888
Description: 8 page(s)
Reviewed: Reviewed
Date: 2007
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1159135
Description: 14 page(s)
Reviewed: Reviewed
Date: 2007
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/118763
Description: We show that, for most of the elliptic curves E over a prime finite field Fp of p elements, the discriminant D(E) of the quadratic number field containing the endomorphism ring of E over F p is suffic ... More
Reviewed: Reviewed
Date: 2007
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/25122
Description: We define Wieferich numbers to be those odd integers w ≥ 3 that satisfy the congruence 2 φ(w)≡ 1(mod w²). It is clear that the distribution of Wieferich numbers is closely related to the distribution ... More
Reviewed: Reviewed