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Publications, preprints for Cormac O'Sullivan

 

Recently published:

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On the partial fraction decomposition of the restricted partition generating function. Forum Math, 27 (2015), no. 2, 735 - 766. arXiv

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Kernels for products of L-functions, with N. Diamantis. Algebra and Number Theory, 7 (2013), no. 8, 1883 - 1917. arXiv

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Nonvanishing of Taylor coefficients and Poincare series with M. Risager. Ramanujan J., 30 (2013), no. 1, 67 - 100. arXiv

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A Diophantine Frobenius problem related to Riemann surfaces, with T. Weaver. Glasgow Math. J., 53 (2011), 501 - 522. arXiv

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Kernels of L-functions of cusp forms, with N. Diamantis, Math. Annalen., 346, (2010), no. 4, 897 - 929. arXiv

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Parabolic, Hyperbolic and Elliptic Poincare Series, with O. Imamoglu, Acta Arithmetica,  139, (2009), 199 - 228. arXiv

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On the Linear Independence of Roots, with R. Carr, Int. J. Number Theory, 5 (2009), no 1, 161 - 171. arXiv
 

 

Accepted for publication:

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Asymptotics for the partial fractions of the restricted partition generating function, I. To appear in Int. J. Number Theory. arXiv

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Zeros of the dilogarithm. To appear in Math. Comp. arXiv
 

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Further projects:

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Asymptotics for the partial fractions of the restricted partition generating function II  (submitted) arXiv

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Hyperbolic Fourier coefficients of Poincare series, with K. Taylor. (submitted)  arXiv

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Sylvester's waves and partitions.

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Hyperbolic and elliptic Dirichlet-type series, with O. Imamoglu and Y. Martin.

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Formulas for non-holomorphic Eisenstein series.

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A family of exact formulas for a Frobenius problem related to Riemann surfaces, with T. Weaver.

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Inner products for spaces of higher-order cusp forms, with O. Imamoglu.

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Dedekind sums from third-order Eisenstein series, with J. Jorgenson and Lejla Smajlovic.

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Optimal bounds for period polynomials, with G. Chinta.

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Gale's impartial graph game.
 

 

Older publications:

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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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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

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L-functions of second-order cusp forms, with N. Diamantis, M. Knopp, G. Mason, Ramanujan J., 12 (2006), no. 3, 327 - 347. pdf

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Convolution Dirichlet series and a Kronecker limit formula for second-order Eisenstein series, with J. Jorgenson, Nagoya Math. J., 179 (2005), 47-102. arXiv

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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

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Estimating additive character sums for Fuchsian groups, with D. Goldfeld, Ramanujan J., 7 (2003), 241-267. pdf

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Second order modular forms, with G. Chinta, N. Diamantis, Acta Arith., 103 (2002), 209-223. pdf

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Identities from the holomorphic projection of modular forms, Number Theory for the Millennium III, A. K. Peters (2002), 87-106. pdf

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Properties of Eisenstein series formed with modular symbols, J. Reine Angew. Math., 518 (2000), 163-186. pdf

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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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