Publications
- J. Rouse, D. Zureick-Brown, 'Elliptic curves over Q and 2-adic images of Galois', Research in Number Theory, 1 (2015). Available online
from Springer, no subscription necessary.
- J. Rouse, J. J. Webb, 'Spaces of modular forms
spanned by eta-quotients,' Advances in Mathematics, 272 (2015), 200-224. Available from sciencedirect.com, subscription necessary.
- P. Cubre, J. Rouse, 'Divisibility properties of the Fibonacci entry point', Proceedings of the American Mathematical Society,
142 (2014), no. 11, 3771-3785. Available online from ams.org, subscription necessary.
- M. Jones, J. Rouse, 'Solutions of the cubic Fermat equation in quadratic
fields,' International Journal of Number Theory, 9 (2013), no. 6, 1579-1591.
Available online from worldscientific.com, subscription necessary.
- J. Rouse, F. Thorne, 'On the existence of large degree Galois representations for fields of small discriminant,' Pacific Journal of Mathematics 271 (2014), no. 1, 243-256. Available online from msp.org, subscription necessary.
- J. Rouse, 'Quadratic forms representing all odd positive integers,' American Journal of Mathematics 136 (2014),
no. 6, 1693-1745. Available online from muse.jhu.edu, subscription necessary.
- J. Rouse, 'Explicit bounds for sums of squares,' Mathematical Research Letters, 19 (2012), no. 2, 359-376.
Available online from intlpress.com, subscription necessary.
- P. Jenkins, J. Rouse, 'Bounds for coefficients
of cusp forms and extremal lattices,' Bulletin of the London Mathematical Society, 43 (2011), no. 5, 927-938.
Available online from oxfordjournals.org, no
subscription necessary.
- B. Reznick, J. Rouse, 'On the sums of two cubes,'
International Journal of Number Theory, 7 (2011), no. 7,
1863-1882.
Available online from World Scientific, subscription necessary.
- S. Ahlgren, J. Rouse, 'Congruences for newforms and the index of the Hecke algebra,' Proceedings of the American
Mathematical Society 139 (2011), no. 4, 1247-1261.
Available online from ams.org, subscription
necessary.
- B. Kim, J. Rouse, 'Explicit bounds for p-core partitions', Transactions of the American Mathematical Society 366 (2014), no. 2, 875-902. Available online from ams.org, subscription necessary.
- S. Ahlgren, J. Rouse,
'Critical
L-values of level
p newforms (mod p),' International
Mathematics Research Notices (2010), no. 9, 1575-1606.
Available online from oxfordjournals.org,
no subscription necessary.
- S. Ahlgren, D. Choi, J. Rouse, 'Congruences for level four cusp forms,' Mathematical Research Letters, 16
(2009), no. 4, 683-701.
Available online from mrlonline.org,
no
subscription necessary.
- S. Ahlgren, N. Masri, J. Rouse, 'Vanishing
of modular forms at infinity,'
Proceedings of the American Mathematical Society, 137
(2009),
1205-1214.
Available online from ams.org,
subscription necessary.
- J. Rouse, 'Bounds
for the
coefficients of powers of the Δ-function,'
Bulletin of the London Mathematical Society, 40 (2008),
1081-1090.
Available online from oxfordjournals.org, no
subscription necessary.
- R. Jones, J. Rouse, 'Galois
Theory of
Iterated Endomorphisms,' Proceedings
of the London Mathematical Society, 100, no. 3, (2010), 763-794.
Available online from
oxfordjournals.org, no
subscription
necessary.
- J. Rouse, 'Atkin-Serre Type Conjectures for Automorphic Representations on
GL(2),' Mathematical Research Letters, 14
(2007), no. 2, 189-204.
Available online from intlpress.com, no subscription
necessary.
- K. Bringmann, K. Ono, J. Rouse, 'Traces of
Singular Moduli on Hilbert Modular Surfaces,' International
Mathematics Research Notices, 47 (2005), 2891-2912.
Available online
from oxfordjournals.org,
subscription necessary.
- J. Rouse, 'Zagier
Duality for the Exponents
of Borcherds Products for Hilbert Modular Forms,' Journal of
the London Mathematical Society, 73 (2006), 339-354.
Available online from oxfordjournals.org,
subscription necessary.
- J. Rouse,
'Vanishing
and
Non-Vanishing of Traces of Hecke Operators,' Transactions
of the American Mathematical Society 358 (2006),
4637-4651.
Available online
from ams.org, subscription necessary.
- J. Rouse,
'Hypergeometric
Functions and Elliptic
Curves,' Ramanujan Journal 12 (2006), 197-205.
Available
online from springerlink.com,
subscription necessary.
- P. Anderson, A. Benjamin, J. Rouse,
'Combinatorial
Proofs of
Fermat's, Lucas's, and Wilson's Theorems,'
The American Mathematical Monthly 112 (2005) No. 3, pg.
266-268.
Available online from jstor.org,
subscription necessary.
- A. Benjamin, J. Rouse,
'When Does FmL divide Fn? A
Combinatorial Solution,'
Proceedings of the Eleventh International Conference on
Fibonacci Numbers and Their Applications. Congressus Numerantium,
194 (2009), 53-58.
No online version available as far as I am
aware.
- A. Benjamin, J. Rouse, J. Quinn,
'Fibinomial Identities,'
Applications of Fibonacci Numbers, Volume 9, Kluwer Academic
Publishers, (2004), pp. 19-24.
No online version available as far as
I am aware.
- A. Benjamin, J. Rouse,
'Recounting Binomial Fibonacci Identities,'
Applications of Fibonacci Numbers, Volume 9,
Kluwer Academic Publishers, (2004), pp. 25-28.
No online version
available
as far as I am aware.