Edna Jones

Email: ejones27 at tulane dot edu

Mathematical Research Publications & Preprints

  1. Edna Jones. "The Kloosterman circle method and weighted representation numbers of quadratic forms." Research in the Mathematical Sciences, vol. 12, no. 3, article no. 59, 2025, pp. 1–78, https://doi.org/10.1007/s40687-025-00544-4.
    Preprint available at https://arxiv.org/abs/2412.01780.
  2. Alexandra Florea, Edna Jones, and Matilde Lalín. "Moments of Artin-Schreier L-functions." The Quarterly Journal of Mathematics, vol. 75, no. 4, 2024, pp. 1255–1284, https://doi.org/10.1093/qmath/haae045.
    Preprint available at https://arxiv.org/abs/2306.16487.
  3. Edna Jones. "Local Densities of Diagonal Integral Ternary Quadratic Forms at Odd Primes." Special Issue II: In Honor of Bruce Berndt’s 80th Birthday, special issue of International Journal of Number Theory, vol. 17, no. 3, 2021, pp. 547–575, https://doi.org/10.1142/S1793042120400357.
    Preprint available at https://arxiv.org/abs/2002.04140.
  4. Sheng Bau, Peter Johnson, Edna Jones, Khumbo Kumwenda, and Ryan Matzke. "Rainbow Connectivity in Some Cayley Graphs." The Australasian Journal of Combinatorics, vol. 71, no. 3, 2018, pp. 381–393.
  5. William Linz and Edna Jones. "r-Completeness of Sequences of Positive Integers." INTEGERS: Electronic Journal of Combinatorial Number Theory, vol. 16, A59, 2016, pp. 1–8.
  6. Edna Jones and John Ryan. "Theoretical Friends of Finite Proximity." International Journal of Mathematics and Computer Science, vol. 10, no. 2, 2015, pp. 205–226.

Ph.D. Dissertation

My Ph.D. dissertation "The Kloosterman circle method and weighted representation numbers of positive definite quadratic forms" is available at https://doi.org/doi:10.7282/t3-122z-r222.

Other Publications & Preprints

  1. Kathleen Melhuish, Lino Guajardo, Kristen Lew, Paul C. Dawkins, Alexander Diaz-Lopez, Rebecca Garcia, Pamela E. Harris, Edna Jones, Priyam Patel, Kyeong Hah Roh, Shanise Walker, Dwight Anderson Williams II, and Aris Winger. "Diverse storylines of entering the mathematics professoriate." Educational Studies in Mathematics, vol. 121, 2026, pp. 457–476, https://doi.org/10.1007/s10649-025-10476-z.
  2. Contributor to the An ON-RAMP to Proof: An Exploration of Interesting Proofs and the Authors Who Shared Them. Edited by Paul Christian Dawkins, Kristen Lew, Kathleen Melhuish, Kyeong Hah Roh, Norman Contreras, and Lino Guajardo.
    Draft available at https://zenodo.org/records/17868047.