• Corpus ID: 254018384

Constants for Artin like problems in Kummer and division fields

  title={Constants for Artin like problems in Kummer and division fields},
  author={Amir Akbary and Milad Fakhari},
A BSTRACT . We apply the character sums method of Lenstra, Moree, and Stevenhagen, to explicitly compute the constants in the Titchmarsh divisor problem for Kummer fields and for division fields of Serre curves. We derive our results as special cases of a general result on the product expressions for the sums in the form 8 ÿ in which g p n q is a multiplicative arithmetic function and t G p n qu is a certain family of Galois groups. Our results extend the application of the character sums method… 



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