Nick Andersen

The inverse of the Dedekind eta function


  1. Odd, spoof perfect factorizations
    with the BYU Computational Number Theory Group, submitted. [arxiv]
  2. Zeros of GL2 L-functions on the critical line
    with J. Thorner, submitted. [arxiv]
  3. On a theorem of Davenport and Schmidt
    with W. Duke, submitted. [arxiv]
  4. The Minkowski chain and Diophantine approximation
    with W. Duke, J. Theor. Nombres Bordeaux, to appear. [arxiv]
  5. Modular invariants for real quadratic fields and Kloosterman sums
    with W. Duke, Algebra & Number Theory, to appear. [arxiv]
  6. Markov spectra for modular billiards
    with W. Duke, Math. Annalen 373 (2019), no. 3-4, 1151-1175. [arxiv] [journal]
  7. Level reciprocity in the twisted second moment of Rankin-Selberg L-functions
    with E. M. Kiral, Mathematika 64 (2018), no. 3, 770-784. [arxiv] [journal]
  8. Shifted polyharmonic Maass forms for PSL(2,Z)
    with J. Lagarias and R. Rhoades, Acta Arith. 185 (2018), 39-79. [arxiv] [journal]
  9. A polyharmonic Maass form of depth 3/2 for SL2(Z)
    with S. Ahlgren and D. Samart, J. Math. Anal. Appl. 468 (2018), no. 2, 1018-1042. [arxiv] [journal]
  10. Images of Maass-Poincare series in the lower half-plane
    with K. Bringmann and L. Rolen, L-functions and automorphic forms, Contrib. in Math. and Comp. Science 10, Springer 2017. [arxiv] [book]
  11. Vector-valued modular forms and the seventh order mock theta functions
    Analytic number theory, modular forms and q-hypergeometric series, 11-23, Springer Proc. Math. Stat., 221, Springer, Cham, 2017. [pdf] [book]
  12. Vector-valued modular forms and the mock theta conjectures
    Res. Number Theory (2016) 2:32. [arxiv] [journal]
  13. Kloosterman sums and Maass cusp forms of half integral weight for the modular group
    with S. Ahlgren, Int. Math. Res. Notices, rnw234 (2016), 1-79. [arxiv] [journal]
  14. Algebraic and transcendental formulas for the smallest parts function
    with S. Ahlgren, Adv. Math. 289 (2016) 411-437. [arxiv] [journal]
  15. Singular invariants and coefficients of weak harmonic Maass forms of weight 5/2
    Forum Math. 29 (2017), no. 1, 7-29. [arxiv] [journal]
  16. Periods of the j-function along infinite geodesics and mock modular forms
    Bull. Lond. Math. Soc. 47 (2015), 407-415. [arxiv] [journal]
  17. Euler-like recurrences for smallest parts functions
    with S. Ahlgren, Ramanujan J. 36 (2015), special issue in memory of Basil Gordon, 237-248. [arxiv] [journal]
  18. Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function
    with S. Ahlgren, Res. Number Theory (2015) 1:10. [arxiv] [journal]
  19. Classification of congruences for mock theta functions and weakly holomorphic modular forms
    Q. J. Math. (2014) 65 (3): 781-805. [arxiv] [journal]
  20. Hecke grids and congruences for weakly holomorphic modular forms
    with S. Ahlgren, Contemp. Math. 627 (2014). [arxiv] [book]
  21. Effective congruences for mock theta functions
    with H. Friedlander, J. Fuller, H. Goodson, Mathematics (2013), 1, 100-110. [arxiv]
  22. Hecke-type congruences for two smallest parts functions
    Int. J. Number Theory, 09, 713-728 (2013). [arxiv] [journal]
  23. Divisibility properties of coefficients of level p modular functions for genus zero primes
    with P. Jenkins, Proc. Amer. Math. Soc. 141 (2013), 41-53. [arxiv] [journal]
If you would like to see my thesis, here it is, but I recommend that you look at the individual papers instead (8, 9, 11, and 12 above).

Awards and Honors