Papers
The Shimura lift and congruences for modular forms with the eta multiplier with N. Andersen and R. Dicks
Advances in Mathematics (to appear)arxivCongruences like Atkin's for the partition function with P. Allen and S. Tang
Transactions of the AMS, Volume 9, 1044–1064 (2022) journal arxivScarcity of congruences for the partition function with O. Beckwith and M. Raum
American Journal of Mathematics Volume 145, Number 5 (2023), 1509-1548. journal arxivDissections of strange q-series with B. Kim and J. Lovejoy
Ann. of Combinatorics 23 (2019) 427–442. journal arxivMaass forms and the mock theta function f(q) with A. Dunn
Math. Annalen, Volume 374, Issue 3-4 (2019), 1681-1718 journal arxivA polyharmonic Maass form of depth 3/2 for SL2(Z) with N. Andersen and D. Samart
J. Math. Anal. Appl. Volume 468, Issue 2 (2018), 1018-1042 journal arxivCongruences for a mock modular form on SL2(Z) and the smallest parts function with B. Kim
J. Number Theory, Volume 189, (2018), 81-89. journal arxivKloosterman sums and Maass cusp forms of half integral weight with N. Andersen
Int. Math. Res. Notices (2018) Issue 2, 492-570. journal arxivA note on cusp forms as p-adic limits with D. Samart
J. Number Theory 168 (2016), 360-373. journalarxivAlgebraic and transcendental formulas for the smallest parts function with N. Andersen
Adv. Math. 289 (2016), 411--437. journalarxivDissections of a "strange" function with B. Kim
Int. J. Number Theory 11 (2015), no. 5, 1557–1562. journal arxivEuler-like recurrences for smallest parts functions with N. Andersen
Ramanujan J. (special issue in honor of Basil Gordon) 36 (2015), no. 1-2, 237–248. journal arxivWeak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function with N. Andersen
Res. Num. Theory (2015) 1:10, 1-16. journal arxivMock theta functions and weakly holomorphic modular forms modulo 2 and 3 with B. Kim
Math. Proc. Cambridge Philos. Soc. 158 (2015), no. 1, 111–129. journal arxivHecke grids and congruences for weakly holomorphic modular forms with N. Andersen
Ramanujan 125, 1–16, Contemp. Math., 627, Amer. Math. Soc. (2014). journal arxivMock modular grids and Hecke relations for mock modular forms with B. Kim
Forum Math. 26 (2014), no. 4, 1261–1287. journalHecke relations for traces of singular moduli
Bull. Lond. Math. Soc. 44 (2012), no. 1, 99–105. journalℓ-adic properties of smallest parts functions with K. Bringmann and J. Lovejoy
Adv. Math. 228 (2011), no. 1, 629–645. journal arxivCongruences for newforms and the index of the Hecke algebra with J. Rouse
Proc. Amer. Math. Soc. 139 (2011), no. 4, 1247–1261. journalCritical L-values of level p newforms (mod p) with J. Rouse
Int. Math. Res. Not. (2010), no. 9, 1575–1606 journalCongruences for level four cusp forms with D. Choi and J. Rouse
Math. Res. Lett. 16 (2009), no. 4, 683–701. journalVanishing of modular forms at infinity with N. Masri and J. Rouse
Proc. Amer. Math. Soc. 137 (2009), no. 4, 1205–1214. journalRank generating functions as weakly holomorphic modular forms with S. Treneer
Acta Arith. 133 (2008), no. 3, 267–279. journalOdd coefficients of weakly holomorphic modular forms with M. Boylan
Math. Res. Lett. 15 (2008), no. 3, 409–418. journalOn the irreducibility of Hecke polynomials
Math. Comp. 77 (2008), no. 263, 1725–1731. journalCongruences for modular forms of weights two and four with M. Barcau
J. Number Theory 126 (2007), no. 2, 193–199. journalCentral critical values of modular L-functions and coefficients of half-integral weight modular forms modulo ℓ with M. Boylan
Amer. J. Math. 129 (2007), no. 2, 429–454. journalArithmetic of singular moduli and class polynomials with K. Ono
Compos. Math. 141 (2005), no. 2, 293–312. journalCoefficients of half-integral weight modular forms modulo ℓj with M. Boylan
Math. Ann. 331 (2005), no. 1, 219–239. journalThe arithmetic of Weierstrass points on modular curves X0(p)
Galois theory and modular forms, 3–12, Dev. Math., 11, Kluwer Acad. Publ., Boston, MA, 2004. journalThe theta-operator and the divisors of modular forms on genus zero subgroups
Math. Res. Lett. 10 (2003), no. 5-6, 787–798. journalArithmetic properties of the partition function with M. Boylan
Invent. Math. 153 (2003), no. 3, 487–502. journalA congruence for the coefficients in a series for π
Acta Arith. 107 (2003), no. 2, 157–160. journalWeierstrass points on X0(p) and supersingular j-invariants with K. Ono
Math. Ann. 325 (2003), no. 2, 355–368. journalHigher Weierstrass points on X0(p) with M. Papanikolas
Trans. Amer. Math. Soc. 355 (2003), no. 4, 1521–1535 (electronic). journalIntegrals of Eisenstein series and derivatives of L-functions with B. Berndt, A. Yee, and A. Zaharescu
Int. Math. Res. Not. 2002, no. 32, 1723–1738. journalZeta functions of an infinite family of K3 surfaces with K. Ono and D. Penniston
Amer. J. Math. 124 (2002), no. 2, 353–368. journalThe points of a certain fivefold over finite fields and the twelfth power of the eta function
Finite Fields Appl. 8 (2002), no. 1, 18–33. journalThe arithmetic of partitions into distinct parts with J. Lovejoy
Mathematika 48 (2001), no. 1-2, 203–211 (2003). journalGaussian hypergeometric series and combinatorial congruences
Symbolic computation, number theory, special functions, physics and combinatorics (Gainesville, FL, 1999), 1–12, Dev. Math., 4, Kluwer Acad. Publ., Dordrecht, 2001. journalCongruences and conjectures for the partition function with K. Ono
q-series with applications to combinatorics, number theory, and physics (Urbana, IL, 2000), 1–10, Contemp. Math., 291, Amer. Math. Soc., Providence, RI, 2001. journalCongruence properties for the partition function with K. Ono
Proc. Natl. Acad. Sci. USA 98 (2001), no. 23, 12882–12884 (electronic). journalAddition and counting: the arithmetic of partitions with K. Ono
Notices Amer. Math. Soc. 48 (2001), no. 9, 978–984.Multiplicative relations in powers of Euler's product
J. Number Theory 89 (2001), no. 2, 222–233. journalDistribution of the partition function modulo composite integers M
Math. Ann. 318 (2000), no. 4, 795–803. journalModularity of a certain Calabi-Yau threefold with K. Ono
Monatsh. Math. 129 (2000), no. 3, 177–190. journalA Gaussian hypergeometric series evaluation and Apéry number congruences with K. Ono
J. Reine Angew. Math. 518 (2000), 187–212. journalThe sixth, eighth, ninth, and tenth powers of Ramanujan's theta function
Proc. Amer. Math. Soc. 128 (2000), no. 5, 1333–1338. journalDistribution of parity of the partition function in arithmetic progressions
Indag. Math. (N.S.) 10 (1999), no. 2, 173–181. journalNon-vanishing of the partition function modulo odd primes ℓ
Mathematika 46 (1999), no. 1, 185–192. journalEquations F(x,y,αx) = 0
Topics in number theory (University Park, PA, 1997), 85–100, Math. Appl., 467, Kluwer Acad. Publ., Dordrecht, 1999.The set of solutions of a polynomial-exponential equation
Acta Arith. 87 (1999), no. 3, 189–207.A binomial coefficient identity associated to a conjecture of Beukers with S. Ekhad, K. Ono, and D. Zeilberger
Electron. J. Combin. 5 (1998), Research Paper 10, 1 p. (electronic). journal arxivAn amusing representation of x/sin x with L. English and R. Winters
Amer. Math. Monthly 104 (1997), no. 10, 964–966. journalPolynomial-exponential equations in two variables
J. Number Theory 62 (1997), no. 2, 428–438. journal
Video
My talk "Algebraic and transcendental formulas for the smallest parts function" at CIRM:
Graduate Students (PhD Year)
- Stephanie Treneer (2006)
- Timothy Kilbourn (2007)
- Nadia Masri (2008)
- Byungchan Kim (2010)
- Michael Dewar (2010)
- Nick Andersen (2016)
- Alexander Dunn (2020)
- Oscar Gonzalez (2023)
- Robert Dicks (2023)