On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields
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Publication:2883920
DOI10.1080/10586458.2011.606075zbMath1257.11060arXiv1003.3004OpenAlexW2054661075MaRDI QIDQ2883920
Francesco Pappalardi, William D. Banks, Igor E. Shparlinski
Publication date: 14 May 2012
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.3004
Elliptic curves (14H52) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)
Related Items (13)
On Group Structures Realized by Elliptic Curves over a Fixed Finite Field ⋮ Large sieve inequality with power moduli for function fields ⋮ Primes in short arithmetic progressions ⋮ Additive energy and a large sieve inequality for sparse sequences ⋮ On the cyclicity of the rational points group of abelian varieties over finite fields ⋮ Group structure of elliptic curves over \(\mathbb{Z}/N\mathbb{Z}\) ⋮ Missing Class Groups and Class Number Statistics for Imaginary Quadratic Fields ⋮ Large sieve with sparse sets of moduli for $\mathbb{Z}[i$] ⋮ The mean-value of a product of shifted multiplicative functions and the average number of points of elliptic curves ⋮ The large sieve with power moduli for ℤ[i] ⋮ A LOWER BOUND FOR THE LARGE SIEVE WITH SQUARE MODULI ⋮ Abelian surfaces over finite fields with prescribed groups ⋮ Large sieve estimate for multivariate polynomial moduli and applications
Cites Work
- On an error term of Landau. II
- An improvement for the large sieve for square moduli
- The complexity of certain multi-exponentiation techniques in cryptography
- Bombieri–Vinogradov type theorems for sparse sets of moduli
- A note on elliptic curves over finite fields
- Harald Cramér and the distribution of prime numbers
- THE DISTRIBUTION OF PRIME NUMBERS
- Abelian varieties over finite fields
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