Publications

Books

1. Harmonic Maass forms and mock modular forms: theory and applications (with K. Bringmann, A. Folsom and K. Ono). AMS Colloquium Series, in preparation.

Articles

2. T. Anderson, L. Rolen, and R. Stoehr, Benford's Law for Coefficients of Modular Forms and Partition Functions, Proc. Amer. Math. Soc. 139 (2011), 1533-1541.
3. N. Amersi, J. Beyerl, J. Brown, A. Proffer, and L. Rolen, Pullbacks of Siegel Eisenstein Series and Weighted Averages of Critical L-Values, The Ramanujan Journal, 27, No. 2 (2012), 151-162.
4. L. Rolen, A Generalization of the Congruent Number Problem, International Journal of Number Theory, 7, No. 8 (2011), 2237-2249.
5. E. Larson and L. Rolen, Progress Towards Counting D₅ Quintic Fields, Involve, 5, No. 1 (2012), 91-97.
6. E. Larson and L. Rolen, Upper Bounds for the Number of Number Fields with Alternating Galois Group, Pro. Amer. Math. Soc. 141 (2013), 499-503.
7. E. Larson and L. Rolen, Integrality Properties of the CM-values of Certain Weak Maass Forms, Forum Mathematicum, (2013), DOI: 10.1515/forum-2012-0112.
8. M. Griffin and L. Rolen, On Matrices Arising in the Finite Field Analogue of Euler's Integral Transform, Mathematics, 1, No. 1 (2013), 3-8.
9. M. Griffin and L. Rolen, Properties of Class Polynomials for Non-Holomorphic Modular Functions, accepted for publication in Journal of the Ramanujan Math Society.
10. L. Rolen and R. Schneider, A "Strange" Vector Valued Quantum Modular Form, Archiv der Mathematik, 101 (2013) 43-52.
11. M. Griffin, K. Ono, and L. Rolen, Ramanujan's Mock Theta Functions, Proceedings of the National Academy of Sciences USA, 110, No. 19 (2013) 7592-7594.
12. V. Dose, N. Green, M. Griffin, T. Mao, L. Rolen, and J. Willis, Singular Moduli for a Distinguished Non-Holomorphic Modular Function, accepted for publication in Proceedings of the American Mathematical Society.
13. K. Bringmann, T. Creutzig, and L. Rolen, Negative Index Jacobi Forms and Quantum Modular Forms, Research in the Mathematical Sciences 1, No. 1 (2014).
14. C. Alfes, M. Griffin, K. Ono, and L. Rolen, Weierstrass Mock Modular Forms and Elliptic Curves, recommended for publication in Research in Number Theory.
15. P. Guerzhoy, Z. Kent, and L. Rolen, Congruences for Taylor Expansions of Quantum Modular Forms , Research in the Mathematical Sciences 1, No. 1 (2014).
16. K. Ono, L. Rolen, and S. Trebat-Leder, Classical Umbral Moonshine: Connections and p-adic Properties, J. of the Ramanujan Math. Soc. 30, No.2 (2015) 135-159.
17. K. Bringmann and L. Rolen, Half-Integral Weight Eichler Integrals and Quantum Modular Forms, accepted for publication in Journal of Number Theory, special issue in honor of Winnie Li.
18. M. Mertens and L. Rolen, On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono, accepted for publication in Research in Number Theory.
19. M. Mertens and L. Rolen, Lacunary Recurrences for Eisenstein Series, to appear in Research in Number Theory.
20. L. Rolen, A New Construction of Eisenstein's Completion of the Weierstrass Zeta Function, accepted for publication in Proceedings of the American Math Society.
21. K. Bringmann, J. Duncan, and L. Rolen, Maass-Jacobi Poincaré Series and Mathieu Moonshine, to appear in Advances in Mathematics.
22. K. Bringmann and L. Rolen, Radial Limits of Mock Theta Functions, recommended for publication in Research in the Math. Sciences.

Preprints

23. K. Bringmann, L. Rolen, and S. Zwegers, On the Fourier coefficients of negative index meromorphic Jacobi forms, submitted.
24. K. Bringmann, L. Rolen, and S. Zwegers, On the modularity of certain functions from the Gromov-Witten theory of elliptic orbifolds, submitted.