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Unconditional Chebyshev biases in number fields

Unconditional Chebyshev biases in number fields

Chebyshev’s bias is the phenomenon according to which for most x, the interval [2,x] contains more primes congruent to 3 modulo 4 than primes congruent to 1 modulo 4. We present new families of examples of analogous phenomena when counting prime ideals in number fields of higher degree where the …