Primes represented by quadratic polynomials via exceptional characters
Fernando Chamizo, Jorge Jim\'enez Urroz
TL;DR
This paper investigates the distribution of prime numbers represented by quadratic polynomials with a focus on cases involving exceptional real characters, providing estimates under certain assumptions.
Contribution
It offers new estimates for the count of primes represented by quadratic polynomials with exceptional characters, advancing understanding in this specific area.
Findings
Derived estimates for prime counts in quadratic polynomials with exceptional characters
Extended previous results to include cases with exceptional characters
Provided conditions under which the estimates hold
Abstract
We estimate the number of primes represented by a general quadratic polynomial with discriminant , assuming that the corresponding real character is exceptional.
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