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Statistics of Different Reduction Types of Fermat Curves

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Publication:2861785
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DOI10.1080/10586458.2013.790201zbMath1368.11057arXiv1212.0915OpenAlexW1998691067MaRDI QIDQ2861785

David I. Harvey, Igor E. Shparlinski

Publication date: 11 November 2013

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0915


zbMATH Keywords

smooth numbersFermat quotientsFermat curves


Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Algebraic number theory computations (11Y40) Distribution of integers with specified multiplicative constraints (11N25)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Sequences, discrepancies and applications
  • On the Shafarevich-Tate group of the Jacobian of a quotient of the Fermat curve
  • The Difference Between Consecutive Primes, II
  • Sur les solutions friables de l'équation a+b=c
  • BOUNDS OF MULTIPLICATIVE CHARACTER SUMS WITH FERMAT QUOTIENTS OF PRIMES
  • Pseudorandomness and Dynamics of Fermat Quotients
  • On the distribution of solutions to linear equations
  • Counting smooth solutions to the equation A +B =C
  • On Schönhage's algorithm and subquadratic integer gcd computation


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