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On the size of the Jacobians of curves over finite fields

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Publication:839959
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DOI10.1007/s00574-008-0006-4zbMath1183.11033OpenAlexW2071855687MaRDI QIDQ839959

Igor E. Shparlinski

Publication date: 4 September 2009

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-008-0006-4


zbMATH Keywords

uniform distribution\(\mathbb{F}_q\)-rational points on Jacobian


Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Irregularities of distribution, discrepancy (11K38)




Cites Work

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  • Explicit bounds and heuristics on class numbers in hyperelliptic function fields
  • Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field
  • Handbook of Elliptic and Hyperelliptic Curve Cryptography
  • On the Euler-Kronecker constants of global fields and primes with small norms
  • Estimates of regulators and class numbers in function fields.




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