Research

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Publications, preprints for Cormac O'Sullivan

Recently published:

	Non-vanishing of Taylor coefficients and Poincaré series, with M. Risager. Ramanujan J., 30 (2013), no. 1, 67 - 100. arXiv
	A Diophantine Frobenius problem related to Riemann surfaces, with T. Weaver. Glasgow Math. J., 53 (2011), 501 - 522. arXiv
	Kernels of L-functions of cusp forms, with N. Diamantis, Math. Annalen., 346, (2010), no. 4, 897 - 929. arXiv
	Parabolic, Hyperbolic and Elliptic Poincare Series, with O. Imamoglu, Acta Arithmetica, 139, (2009), 199 - 228. arXiv
	On the Linear Independence of Roots, with R. Carr, Int. J. Number Theory, 5 (2009), no 1, 161 - 171. arXiv
	The dimensions of spaces of second-order automorphic forms and their cohomology, with N. Diamantis, Trans. Amer. Math. Soc., 360 (2008), no. 11, 5629 - 5666. arXiv

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Accepted for publication:

	Kernels for products of L-functions, with N. Diamantis. arXiv
	On the partial fraction decomposition of the partition generating function.

Submitted:

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Almost ready(!):

	Dedekind sums from third-order Eisenstein series, with J. Jorgenson.
	Formulas for non-holomorphic Eisenstein series.
	Inner products for spaces of higher-order cusp forms, with O. Imamoglu.

Further projects:

	Hyperbolic L-functions, with O. Imamoglu and Y. Martin.
	Rademacher's conjecture on the partial fraction decomposition of the partition generating function.
	Optimal bounds for period polynomials, with G. Chinta.
	Divisor games.
	Zeros of Hyperbolic Eisenstein series, with K. Taylor.

Older publications:

	Unipotent vector bundles and higher-order non-holomorphic Eisenstein series, with J. Jorgenson, Journal de Theorie des Nombres de Bordeaux, 20 (2008), 131 - 163. arXiv
	L-functions of second-order cusp forms, with N. Diamantis, M. Knopp, G. Mason, Ramanujan J., 12 (2006), no. 3, 327 - 347. pdf
	Convolution Dirichlet series and a Kronecker limit formula for second-order Eisenstein series, with J. Jorgenson, Nagoya Math. J., 179 (2005), 47-102. arXiv
	Arithmetic progressions with three parts in prescribed ratio and a challenge of Fermat, with K. Fogarty, Math. Mag., 77 (2004), no. 4, 282-292. pdf
	Estimating additive character sums for Fuchsian groups, with D. Goldfeld, Ramanujan J., 7 (2003), 241-267. pdf
	Second order modular forms, with G. Chinta, N. Diamantis, Acta Arith., 103 (2002), 209-223. pdf
	Identities from the holomorphic projection of modular forms, Number Theory for the Millennium III, A. K. Peters (2002), 87-106. pdf
	Properties of Eisenstein series formed with modular symbols, J. Reine Angew. Math., 518 (2000), 163-186. pdf
	Hecke theory of series formed with modular symbols and relations among convolution L-functions, with N. Diamantis, Math. Annalen 318 (1) (2000), 85-105. pdf

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