Publications

    Books

  1. Harmonic Maass forms and mock modular forms: theory and applications (with K. Bringmann, A. Folsom and K. Ono). AMS Colloquium Series, to appear in late 2017 or early 2018.
  2. Articles

  3. T. Anderson, L. Rolen, and R. Stoehr, Benford's Law for Coefficients of Modular Forms and Partition Functions, Proceedings of the American Mathematical Society, 139 (2011), 1533-1541.
  4. 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.
  5. L. Rolen, A Generalization of the Congruent Number Problem, International Journal of Number Theory, 7, No. 8 (2011), 2237-2249.
  6. E. Larson and L. Rolen, Progress Towards Counting D5 Quintic Fields, Involve, 5, No. 1 (2012), 91-97.
  7. E. Larson and L. Rolen, Upper Bounds for the Number of Number Fields with Alternating Galois Group, Proceedings of the American Mathematical Society, 141 (2013), 499-503.
  8. E. Larson and L. Rolen, Integrality Properties of the CM-values of Certain Weak Maass Forms, Forum Mathematicum, 27, No. 2 (2015), 961-972.
  9. 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.
  10. M. Griffin and L. Rolen, Integrality Properties of Class Polynomials for Non-Holomorphic Modular Functions, Journal of the Ramanujan Math Society, 30, No. 1 (2015), 83-99.
  11. L. Rolen and R. Schneider, A "Strange" Vector Valued Quantum Modular Form, Archiv der Mathematik, 101 (2013), 43-52.
  12. 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.
  13. V. Dose, N. Green, M. Griffin, T. Mao, L. Rolen, and J. Willis, Singular Moduli for a Distinguished Non-Holomorphic Modular Function, Proceedings of the American Mathematical Society, 143, No. 3 (2015), 965-972.
  14. K. Bringmann, T. Creutzig, and L. Rolen, Negative Index Jacobi Forms and Quantum Modular Forms, Research in the Mathematical Sciences, 1 (2014), 1:11.
  15. C. Alfes, M. Griffin, K. Ono, and L. Rolen, Weierstrass Mock Modular Forms and Elliptic Curves, Research in Number Theory, (2015) 1:24.
  16. P. Guerzhoy, Z. Kent, and L. Rolen, Congruences for Taylor Expansions of Quantum Modular Forms, Research in the Mathematical Sciences, 1 (2014), 1:17.
  17. K. Ono, L. Rolen, and S. Trebat-Leder, Classical and Umbral Moonshine: Connections and p-adic Properties, Journal of the Ramanujan Mathematical Society, 30, No. 2 (2015), 135-159.
  18. 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, 161 (2016), 240--254.
  19. M. Mertens and L. Rolen, On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono, Research in Number Theory, (2015) 1:4.
  20. M. Mertens and L. Rolen, Lacunary Recurrences for Eisenstein Series, Research in Number Theory, (2015) 1:9.
  21. L. Rolen, A New Construction of Eisenstein's Completion of the Weierstrass Zeta Function, Proceedings of the American Math Society, 144 (2016), 1453-1456.
  22. K. Bringmann, J. Duncan, and L. Rolen, Maass-Jacobi Poincaré Series and Mathieu Moonshine, Advances in Mathematics, 281 (2015), 248-278.
  23. K. Bringmann and L. Rolen, Radial Limits of Mock Theta Functions, Research in the Mathematical Sciences, 2 (2015), 2:17.
  24. K. Bringmann, L. Rolen, and S. Zwegers, On the modularity of certain functions from the Gromov-Witten theory of elliptic orbifolds, Royal Society Open Science 2: 150310.
  25. L. Rolen, On $t$-core towers and $t $-defects of partitions, Annals of Combinatorics, 21, no. 1 (2017), 119-130.
  26. K. Bringmann, L. Rolen, and S. Zwegers, On the Fourier coefficients of negative index meromorphic Jacobi forms, Research in the Mathematical Sciences, (2016) 3: 5.
  27. M. Krauel, L. Rolen, and M. Woodbury, On a relation between certain q-hypergeometric series and Maass waveforms, Proceedings of the American Mathematical Society, 145 (2017), 543-557.
  28. K. Bringmann, J. Manschot, and L. Rolen, Identities for generalized Appell functions and the blow-up function, Letters in Mathematical Physics, 106, no. 10 (2016), 1379-1395.
  29. K. Ono, L. Rolen, and R. Schneider, Explorations in the theory of partition zeta functions, 223-264, Chapter 10 of the book Exploring the Riemann Zeta Function: 190 years from Riemann's Birth editors: H. Montgomery, A. Nikeghbali, and M. Rassias, Springer 2017.
  30. K. Ono, L. Rolen, and F. Sprung, Zeta-polynomials for modular form periods, Advances in Mathematics, 306 (2017), 328--343.
  31. K. Bringmann, J. Lovejoy, and L. Rolen, On some special families of $q$-hypergeometric Maass forms, Int. Math. Res. Not., accepted for publication.
  32. N. Andersen, K. Bringmann, and L. Rolen, Images of Maass-Poincare series in the lower half-plane, Contributions in Mathematical and Computational Science, Springer, proceedings of L-functions and automorphic forms, accepted for publication.
  33. K. Bringmann, B. Kane, S. Löbrich, K. Ono, and L. Rolen, Number-theoretic generalization of the Monster denominator formula, Journal of Physics A, accepted for publication.
  34. Preprints

  35. K. Bringmann, J. Kaszian, and L. Rolen, Higher-depth mock modular forms arising in Gromov-Witten Theory of elliptic orbifolds, preprint.
  36. K. Bringmann, B. Kane, S. Löbrich, K. Ono, and L. Rolen, On divisors of modular forms, submitted.
  37. K. Bringmann, L. Rolen, and M. Woodbury Formulas for Jacobi forms and generalized Frobenius partitions, preprint.
  38. N. Diamantis and L. Rolen, Eichler cohomology and zeros of polynomials associated to derivatives of L-functions, submitted.
  39. N. Diamantis and L. Rolen, Period polynomials, derivatives of L-functions, and zeros of polynomials, submitted.
  40. M. Griffin, K. Ono, L. Rolen, and D. Zagier, TBA, in progress.

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Last updated September 25, 2017