Publications.

  • M. Boylan, Congruences for $_2F_1$ hypergeometric functions over finite fields.
    Ramanujan Journal, 5 (2001), no. 4, 385-390.

  • M. Boylan, Swinnerton-Dyer type congruences for certain Eisenstein series.
    q-series with applications to Combinatorics, Number Theory, and Physics (Urbana, IL, 2000), 93-108,
    Contemporary Mathematics, 291, Amer. Math. Soc., Providence, RI, 2001.

  • M. Boylan and K. Ono, Parity of the partition function in arithmetic progressions, II.
    Bulletin of the London Mathematical Society 33 (2001), no. 5, 558-564.

  • M. Boylan, Congruences for $2^t$-core partition functions.
    Journal of Number Theory, 92 (2002), no. 1, 131-138.

  • M. Boylan, Exceptional congruences for the coefficients of certain eta-product newforms.
    Journal of Number Theory 98 (2003), no. 2, 377-389.

  • S. Ahlgren and M. Boylan, Arithmetic properties of the partition function.
    Inventiones Mathematicae 153 (2003), no. 3, 487-502.

  • M. Boylan, Exceptional congruences for powers of the partition function.
    Acta Arithmetica 111 (2004), no. 2, 187-203.

  • S. Ahlgren and M. Boylan, Coefficients of half-integral weight modular forms modulo $\ell^j$.
    Mathematische Annalen 331 (2005), no. 1, 219-241.

  • M. Boylan, 2-adic properties of Hecke traces of singular moduli.
    Mathematics Research Letters 12 (2005), no. 4, 593-609.

  • M. Boylan, Non-vanishing of the partition function modulo small primes.
    International Mathematics Research Notices (2006), Art. ID 46120, 17 pp.

  • S. Ahlgren and M. Boylan, Cenral critical values of modular L-functions
    and coefficients of half-integral weight modular forms modulo $\ell$.
    American Journal of Mathematics 29 (2007), no. 2, 429-454.

  • S. Ahlgren and M. Boylan, Odd coefficients of weakly holomorphic modular forms.
    Mathematics Research Letters, 15 (2008), no. 3.

  • M. Boylan, Integer weight mock theta analogues.
    Submitted.