Research

The papers below have my preferred layouts. Apart from that, they agree with the published versions.

Preprints or recent publications:

	Integer continued fractions for complex numbers, arXiv
	[2025] Topographs for binary quadratic forms and class numbers, Mathematika 71 (2025), no. 4, Paper No. e70042, 57 pp. pdf, also video of a talk on this
	[2024] Integrality of the higher Rademacher symbols, Adv. Math. 455* (2024), Paper No. 109876, 22 pp.* pdf
	[2023] Detailed asymptotic expansions for partitions into powers, Int. J. Number Theory 19 (2023), no. 9, 2163–2196. pdf
	[2023] Symmetric functions and a natural framework for combinatorial and number theoretic sequences, Res. Number Theory 9 (2023), no. 3, Paper No. 56, 40 pp. pdf
	[2023] Stirling's approximation and a hidden link between two of Ramanujan's approximations, J. Combin. Theory Ser. A 197 (2023), Paper No. 105740, 33 pp. pdf
	[2023] Ramanujan's approximation to the exponential function and generalizations, Ramanujan J. 62 (2023), no. 3, 649–673. pdf
	[2023] A generalization of the Riemann-Siegel formula, Math. Z. 303 (2023), no. 1, Paper No. 20, 44 pp. pdf
	[2022] De Moivre and Bell polynomials, Expo. Math. 40 (2022), no. 4, 870–893. pdf
	[2022] Limits of Jensen polynomials for partitions and other sequences, Monatsh. Math. 199 (2022), no. 1, 203–230. pdf
	[2021] Zeros of Jensen polynomials and asymptotics for the Riemann xi function, Res. Math. Sci. 8 (2021), no. 3, Paper No. 46, 27 pp. pdf
	[2020] Transformation laws for generalized Dedekind sums associated to Fuchsian groups, with C. Burrin, J. Jorgenson and L. Smajlovic, Acta Arith. 196 (2020), no. 2, 139–162. pdf
	[2020] Rademacher's conjecture and expansions at roots of unity of products generating restricted partitions, J. Number Theory 216 (2020), 335–379. pdf
	[2020] Modular Dedekind symbols associated to Fuchsian groups and higher-order Eisenstein series, with J. Jorgenson and L. Smajlovic, Res. Number Theory 6 (2020), no. 2, Paper No. 22, 42 pp. pdf
	[2019] Noncommutative modular symbols and Eisenstein series, with G. Chinta and I. Horozov, Automorphic forms and related topics, 27–45, Contemp. Math. 732 Amer. Math. Soc., Providence, RI, 2019. pdf
	[2019] Revisiting the saddle-point method of Perron, Pacific J. Math. 298 (2019), no. 1, 157-199. pdf
	[2018] Partitions and Sylvester waves, Ramanujan J. 47 (2018), no. 2, 339–381. pdf
	[2018] A vertex and edge deletion game on graphs, Integers 18 (2018), Paper No. G03, 38 pp. pdf
	[2018] Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers, Res. Number Theory 4 (2018), no. 3, Art. 36, 38 pp. pdf

Older:

	[2016] Hyperbolic Fourier coefficients of Poincare series, with K. Taylor. Ramanujan J. 41 (2016), no. 1, 465 - 518. pdf
	[2016] Asymptotics for the partial fractions of the restricted partition generating function II, Integers 16 (2016), Paper No. A78, 73 pp. pdf
	[2016] Zeros of the dilogarithm, Math. Comp. 85 (2016), no. 302, 2967-2993. pdf
	[2016] Asymptotics for the partial fractions of the restricted partition generating function, I, Int. J. Number Theory 12 (2016), no. 6, 1421-1474. pdf
	[2015] On the partial fraction decomposition of the restricted partition generating function, Forum Math 27 (2015), no. 2, 735 - 766. pdf
	[2013] Kernels for products of L-functions, with N. Diamantis. Algebra and Number Theory 7 (2013), no. 8, 1883 - 1917. pdf
	[2013] Nonvanishing of Taylor coefficients and Poincare series, with M. Risager. Ramanujan J. 30 (2013), no. 1, 67 - 100. pdf
	[2011] A Diophantine Frobenius problem related to Riemann surfaces, with T. Weaver. Glasgow Math. J. 53 (2011), 501 - 522. pdf
	[2010] Kernels of L-functions of cusp forms, with N. Diamantis, Math. Annalen 346, (2010), no. 4, 897 - 929. pdf
	[2009] Parabolic, Hyperbolic and Elliptic Poincare Series, with O. Imamoglu, Acta Arithmetica 139, (2009), 199 - 228. pdf
	[2009] On the Linear Independence of Roots, with R. Carr, Int. J. Number Theory 5 (2009), no 1, 161 - 171. pdf
	[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. pdf
	[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. pdf
	[2006] L-functions of second-order cusp forms, with N. Diamantis, M. Knopp, G. Mason, Ramanujan J. 12 (2006), no. 3, 327 - 347. pdf
	[2005] Convolution Dirichlet series and a Kronecker limit formula for second-order Eisenstein series, with J. Jorgenson, Nagoya Math. J. 179 (2005), 47-102. pdf
	[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
	[2003] Estimating additive character sums for Fuchsian groups, with D. Goldfeld, Ramanujan J. 7 (2003), 241-267. pdf
	[2002] Second order modular forms, with G. Chinta, N. Diamantis, Acta Arith. 103 (2002), 209-223. pdf
	[2002] Identities from the holomorphic projection of modular forms, Number Theory for the Millennium III, A. K. Peters (2002), 87-106. pdf
	[2000] Properties of Eisenstein series formed with modular symbols, J. Reine Angew. Math. 518 (2000), 163-186. pdf
	[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