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Analysis

This paper investigates the behavior of quadratic character sums, a fundamental topic in number theory. The focus on summation lengths exceeding the square root of the modulus is significant, and the use of the Generalized Riemann Hypothesis (GRH) suggests a deep dive into complex mathematical territory. The 'Omega result' implies a lower bound on the sums, providing valuable insights into their magnitude.
Reference

Assuming the Generalized Riemann Hypothesis, we obtain a new Omega result.