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math.NT2025
The modified prime sieve for primitive elements in finite fields
Gustav Kjærbye Bagger, James Punch
Let be an integer, a prime power and the finite field with elements. Consider the problem of showing existence of primitive elements in a subset…
math.NT2025
The determination of norm-Euclidean cyclic cubic fields
Gustav Kjærbye Bagger, Andrew R. Booker, Bryce Kerr +3
It is known on the Generalised Riemann Hypothesis that there are precisely cyclic cubic fields that are norm-Euclidean. Unconditionally, there is a gap between analytic estima…