Publications

  1. (Thesis) Topics in Multiplicative Number Theory. Thesis (Ph.D.)–University of California, Santa Barbara. ProQuest LLC, Ann Arbor, MI, June 2021, 187 pp. ISBN: 979-8544-27846-7

  2. (with C. Banderier, C. Krattenthaler, A. Krinik, D. Kruchinin, V. Kruchinin, and M. Wallner) “Explicit Formulas for Enumeration of Lattice Paths: Basketball and the Kernel Method”. Lattice path combinatorics and applications. Cham: Springer Dev. Math. 58. (2019): 78–118 (41 pp.). DOI: 10.1007/978-3-030-11102-1_6

  3. “Generalized divisor functions in arithmetic progressions: I”. J. Number Theory 227.1 (2021): 30–93 (64 pp.). DOI: 10.1016/j.jnt.2021.03.021

  4. “Generalized divisor functions in arithmetic progressions: II”. Proc. Edinb. Math. Soc. 67.1 (2024): 28–56 (29 pp.). DOI: 10.1017/S0013091523000664 openaccess Open access

  5. “Variance of the \(k\)-fold divisor function in arithmetic progressions for individual modulus”. Acta Arith. 212.3 (2024): 195–224 (29 pp.). DOI: 10.4064/aa220517-3-11

Preprints/Unpublished papers

  1. “On correlation of the 3-fold divisor function with itself” arXiv:2206.05877 [math.NT] (2022), 46 pp.

  2. “A note on \( \theta_2 \)” arXiv:2303.08093 [math.NT] (2023), 24 pp.

  3. “On Ramanujan–Fourier expansions” arXiv:2305.17597 [math.NT] (2023), 6 pp.

  4. “Stratification of weights on curves” (2024), 14 pp.