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Publications, preprints for Cormac O'Sullivan

 

Recently published:

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[2016] Hyperbolic Fourier coefficients of Poincare series,
    with K. Taylor. Ramanujan J., 41 (2016), no. 1, 465 - 518.  arXiv
 

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[2016] Asymptotics for the partial fractions of the restricted partition generating function II.
   
Integers, 16 (2016), Paper No. A78, 73 pp. arXiv

 

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[2016] Zeros of the dilogarithm.
   
Math. Comp, 85 (2016), no. 302, 2967-2993. arXiv

 

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[2016] Asymptotics for the partial fractions of the restricted partition generating function, I.
   
Int. J. Number Theory, 12 (2016), no. 6, 1421-1474. arXiv

 

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

 

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

 

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

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

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

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Further projects:

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Modular Dedekind symbols associated to Fuchsian groups and higher-order Eisenstein series,
    with J. Jorgenson and L. Smajlovic  (submitted) arXiv

 

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Revisiting the saddle-point method of Perron, (submitted) arXiv
 

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Partitions and Sylvester waves, (submitted) arXiv
 

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Kernels and Dirichlet-type series associated to hyperbolic Fourier coefficients,
   
with O. Imamoglu and Y. Martin.
 

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A converse theorem for Siegel cusp forms of degree two,
   
with Y. Martin.
 

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Noncommutative twists of classical Eisenstein series,
    with G. Chinta and I. Horozov.
 

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

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Gale's impartial graph game.
  

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Older publications:

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

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

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[2008] 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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[2008] 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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[2006] 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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[2005] 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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[2004] 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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[2003] Estimating additive character sums for Fuchsian groups,
    with D. Goldfeld, Ramanujan J., 7 (2003), 241-267. pdf

 

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

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[2002] 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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[2000] Properties of Eisenstein series formed with modular symbols,
    J. Reine Angew. Math., 518 (2000), 163-186. pdf

 

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[2000] 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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