_____________________________________________

Publications, preprints for Cormac O'Sullivan

 

Recently published:

bullet

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

bullet

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

 

bullet

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

 

bullet

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

 

bullet

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

 

bullet

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

 

bullet

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

bullet

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

bullet

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

____________________________________________________________
 

Further projects:

bullet

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

 

bullet

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

bullet

Partitions and Sylvester waves, (accepted for publication in the Ramanujan Journal) arXiv
 

bullet

Noncommutative modular symbols and Eisenstein series,
   
with G. Chinta and I. Horozov, (submitted) arXiv
 

bullet

A vertex and edge deletion game on graphs.
 

bullet

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

bullet

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

bullet

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

____________________________________________________________
 

Older publications:

bullet

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

bullet

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

bullet

[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
 

bullet

[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
 

bullet

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

 

bullet

[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
 

bullet

[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
 

bullet

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

 

bullet

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

bullet

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

 

bullet

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

 

bullet

[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
  

____________________________________________________________