Large Quadratic Character Sums 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.

• •Focuses on large values of quadratic character sums.
• •Considers summation lengths exceeding the square root of the modulus.
• •Employs the Generalized Riemann Hypothesis (GRH).
• •Obtains a new Omega result, providing a lower bound.