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Prime numbers in quadratic fields
CWI Quarterly, 1994The author gives a method, similar to the sieve of Eratosthenes, for finding the numbers less than a given bound that are norms of primes in a given quadratic field with unique factorization. There are given an extensive background of number theory, and a Pascal program to implement the method and plot the primes \(x+ \omega y\) (where 1, \(\omega\) is
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On Complexity of Search for the Periods of Functions Given by Polynomials over a Prime Field
Journal of Applied and Industrial Mathematics, 2022exaly
Infinite class field towers of number fields of prime power discriminant
Advances in Mathematics, 2020Farshid Hajir
exaly
Design and Implementation of the Primitive Polynomial Search System in the Prime Number Field
Lecture Notes in Electrical Engineering, 2022exaly
The prime ideals of a polynomial ideal under extension of the base field
Annali Di Matematica Pura Ed Applicata, 1975exaly
Polynomials with minimal set of values and the equationf (x) = f (y) in a finite prime field
Mathematical Notes, 1985exaly