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Award ID contains: 2338424

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  1. ; (, Journal of Number Theory)
    Free, publicly-accessible full text available July 1, 2026
  2. ; ; ; (, Designs, Codes and Cryptography)
    Free, publicly-accessible full text available April 5, 2026
  3. ; ; ; ; (, Journal of Algebra and Its Applications)
    Let [Formula: see text] be a prime power and [Formula: see text]. In this paper we complete the classification of good polynomials of degree [Formula: see text] that achieve the best possible asymptotics (with an explicit error term) for the number of totally split places. Moreover, for degrees up to [Formula: see text], we provide an explicit lower bound and an asymptotic estimate for the number of totally split places of [Formula: see text]. Finally, we prove the general fact that the number [Formula: see text] of [Formula: see text] for which [Formula: see text] splits obeys a linear recurring sequence. For any [Formula: see text], this allows for the computation of [Formula: see text] for large [Formula: see text] by only computing a recurrence sequence over [Formula: see text]. 
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    Free, publicly-accessible full text available March 25, 2026
  4. ; ; (, Designs, Codes and Cryptography)
    Free, publicly-accessible full text available December 27, 2025