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Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1196101
Description: We say that a set S is additively decomposed into two sets A and B if S = {a+b: a ∈ A, b ∈ B}. A. Sárközy has recently conjectured that the set Q of quadratic residues modulo a prime p does not have n ... More
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1193197
Description: We obtain bounds of sums of additive characters with discriminants of polynomials over finite fields. We use these bounds to study the distribution of discriminants modulo a prime p.
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1197364
Description: We obtain new results concerning the Lang–Trotter conjectures on Frobenius traces and Frobenius fields over single and double parametric families of elliptic curves. We also obtain similar results wit ... More
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1197764
Description: For an elliptic curve E/Q without complex multiplication we study the distribution of Atkin and Elkies primes ℓ, on average, over all good reductions of E modulo primes p. We show that, under the gene ... More
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1200625
Description: 28 page(s)
Reviewed: Reviewed
Date: 2015
Subject Keyword: GCD | Approximate GCD
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1195921
Description: 11 page(s)
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1197913
Description: 8 page(s)
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1197385
Description: 14 page(s)
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1201756
Description: We use the Burgess bound and combinatorial sieve to obtain an upper bound on the number of primes p in a dyadic interval [Q, 2Q] for which a given interval [u + 1, u + ψ(Q)] does not contain a quadrat ... More
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1197906
Description: We obtain a conditional, under the Generalized Riemann Hypothesis, lower bound on the number of distinct elliptic curves E over a prime finite field Fp of p elements, such that the discriminant D(E) o ... More
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1195893
Description: 13 page(s)
Reviewed: Reviewed
Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1195029
Description: 7 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: 2014
Subject Keyword: Exponential function | Prime power
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1197896
Description: For a fixed integer g≥2, we consider the distribution of powers gⁿ in the residue ring modulo a large power of a fixed prime. We also give an application of this result to the exponential pseudorandom ... More
Reviewed: Reviewed
Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1195022
Description: 15 page(s)
Reviewed: Reviewed