Publications
- Theta
functions
of indefinite quadratic forms over real number fields. Proc. Amer. Math. Soc.
128
(2000), no. 3, 701-708. pdf
- Theta
functions of quadratic forms over imaginary quadratic fields. Acta Arith.
92
(2000), no. 1, 1-9. pdf
- A remark on the
behavior
of theta series of degree n
under modular transformations. Internat.
Math. Res. Notices 2001, no. 7,
371-379. pdf
- Theta
functions with harmonic coefficients over number fields. J.
Number Theory 95 (2002), no. 1,
101-121. pdf
- On
transformation laws for theta functions. Rocky
Mountain J. Math. 34 (2004),
no. 4, 1473-1481. pdf
- Jacobi
theta functions over number fields (with H.
Skogman). Monatsh.
Math. 141 (2004), no. 3,
219-235. pdf
- On
Rankin-Cohen brackets for Siegel modular forms (with Ö.
Imamoglu). Proc.
Amer. Math.
Soc. 134 (2006), no. 4,
995-1001. pdf
- Differential
operators on Hilbert modular forms (with Y. Choie
and H. Kim). J.
Number Theory 122 (2007), no.
1, 25-36. pdf
- Maass-Jacobi
forms over complex quadratic fields (with K.
Bringmann
and C. Conley).
Math.
Res. Lett. 14
(2007), no. 1, 137-156. pdf
- Classification
of the space spanned by theta series and applications (with Y. Choie).
Proc. Amer.
Math. Soc. 135
(2007), no. 8, 2309-2315. pdf
- A combinatorial characterization of
Jacobi
forms (with Y.
Choie). Rocky Mountain J.
Math. 39 (2009), no. 2,
455-462. pdf
- The
action of the heat operator on Jacobi forms. Proc.
Amer.
Math. Soc. 137 (2009), no. 3,
869-875. pdf
- On
congruences of Jacobi forms. Proc.
Amer. Math. Soc. 136 (2008),
no. 8, 2729-2734. pdf
- Differential
operators and Siegel-Maass
forms (with Ö.
Imamoglu).
Automorphic forms, automorphic
representations and related topics,
109-115, RIMS
Kôkyûroku
1715, Kyoto
(2010). pdf
- Zagier-type dualities and lifting maps
for harmonic Maass-Jacobi
forms (with K. Bringmann). Adv.
Math.
225 (2010),
no. 4, 2298-2315. pdf
- Congruences for Siegel modular forms (with D. Choi
and Y. Choie). Ann. Inst. Fourier (Grenoble) 61
(2011), no. 4, 1455-1466. pdf
- Ramanujan
congruences for Siegel modular forms (with M. Dewar). Int. J. Number Theory
6 (2010), no. 7,
1677-1687. pdf
- Jacobi
forms over complex quadratic fields via the cubic Casimir
operators (with K. Bringmann and C. Conley).
Comment. Math.
Helv. 87
(2012), no. 4, 825-859. pdf
- Exact
formulas for coefficients of Jacobi forms (with K. Bringmann).
Int. J. Number Theory
7 (2011), no. 3,
825-833. pdf
- Kohnen’s limit process for real-analytic
Siegel
modular forms (with K. Bringmann and M. Raum). Adv.
Math.
231 (2012),
no. 2, 1100-1118. pdf
accompanying
computations
- Holomorphic
projections and
Ramanujan's mock theta functions (with Ö.
Imamoglu and M. Raum). Proc.
Natl.
Acad. Sci. USA (PNAS) 111
(2014), no. 11, 3961-3967. pdf
- Harmonic
Maass-Jacobi forms with singularities and a theta-like decomposition (with K. Bringmann and M. Raum). Trans.
Amer. Math. Soc. 367
(2015), no. 9, 6647-6670.
pdf
- The structure of Siegel modular
forms mod p
and U(p)
congruences (with M. Raum).
Math. Res.
Lett. 22
(2015), no. 3, 899-928. pdf
- Hermitian
Jacobi forms and U(p)
congruences (with J.
Senadheera). Proc.
Amer. Math. Soc. 143
(2015), no. 10, 4199-4210.
pdf
- Sturm bounds
for Siegel modular forms (with M.
Westerholt-Raum). Res.
Number Theory 1
(2015),
Paper No. 5, 8 pp. pdf
- Almost
holomorphic Poincaré series corresponding to products of
harmonic Siegel-Maass forms (with
K.
Bringmann
and M.
Westerholt-Raum). Res.
Math. Sci.
3
(2016), Paper No. 30, 16
pp. pdf
- Generators of Jacobi
forms are Poincaré
series
(with H.
Skogman). Ramanujan J. 45
(2018), no. 3, 639-645. pdf
- The skew-Maass lift I: The case of
harmonic Maass-Jacobi forms (with M. Raum). Res.
Math. Sci.
6
(2019), no. 2, Paper No. 22, 59
pp. pdf
- Nonholomorphic Ramanujan-type
congruences for Hurwitz class numbers (with
O. Beckwith
and M. Raum).
Proc. Natl.
Acad. Sci. USA (PNAS) 117 (2020), no. 36,
21953-21961. pdf
- Congruences of Hurwitz class
numbers on square classes (with O. Beckwith
and M. Raum).
Adv.
Math. 409 (2022),
Paper No. 108663, 19pp. pdf
- Imaginary
quadratic fields with ℓ-torsion-free class groups and specified split primes (with
O. Beckwith
and M. Raum). Preprint. pdf