• Primes of the form $x^2+dy^2$ with $x\equiv 0({\rm mod}\, N)$ or $y\equiv 0({\rm mod}\, N)$

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      https://www.ias.ac.in/article/fulltext/pmsc/127/01/0035-0043

    • Keywords

       

      Artin reciprocity; cyclic quartic unramified extension; Gaussian-Mersenne prime; Eisenstein-Mersenne prime.

    • Abstract

       

      In this paper, we characterize primes of the form $x^2+dy^2$ with $x\equiv 0({\rm mod}\, N)$ or $y\equiv 0({\rm mod}\, N)$ for positive integers $N$ and $d$ with $d$ being square free.

    • Dates

       
  • Proceedings – Mathematical Sciences | News

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