Nick Andersen

The inverse of the Dedekind eta function

Papers

  1. Level reciprocity in the twisted second moment of Rankin-Selberg L-functions
    with E. M. Kiral, in preparation.
  2. Shifted polyharmonic Maass forms for PSL(2,Z)
    with J. Lagarias and R. Rhoades, submitted. [arxiv]
  3. A polyharmonic Maass form of depth 3/2 for SL2(Z)
    with S. Ahlgren and D. Samart, submitted. [arxiv]
  4. Images of Maass-Poincare series in the lower half-plane
    with K. Bringmann and L. Rolen, submitted. [arxiv]
  5. Vector-valued modular forms and the seventh order mock theta functions
    Number Theory: In Honor of Krisha Alladi's 60th birthday, to appear. [pdf]
  6. Vector-valued modular forms and the mock theta conjectures
    Res. Number Theory (2016) 2:32. [arxiv] [journal]
  7. Kloosterman sums and Maass cusp forms of half integral weight for the modular group
    with S. Ahlgren, IMRN, to appear. [arxiv]
  8. Algebraic and transcendental formulas for the smallest parts function
    with S. Ahlgren, Adv. Math. 289 (2016) 411-437. [arxiv] [journal]
  9. Singular invariants and coefficients of weak harmonic Maass forms of weight 5/2
    Forum Math., to appear. [arxiv] [journal]
  10. Periods of the j-function along infinite geodesics and mock modular forms
    Bull. Lond. Math. Soc. 47 (2015), 407-415. [arxiv] [journal]
  11. 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]
  12. 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]
  13. Classification of congruences for mock theta functions and weakly holomorphic modular forms
    Q. J. Math. (2014) 65 (3): 781-805. [arxiv] [journal]
  14. Hecke grids and congruences for weakly holomorphic modular forms
    with S. Ahlgren, Contemp. Math. 627 (2014). [arxiv] [book]
  15. Effective congruences for mock theta functions
    with H. Friedlander, J. Fuller, H. Goodson, Mathematics (2013), 1, 100-110. [arxiv]
  16. Hecke-type congruences for two smallest parts functions
    Int. J. Number Theory, 09, 713-728 (2013). [arxiv] [journal]
  17. 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