Publications

    Books

  1. Harmonic Maass forms and mock modular forms: theory and applications (with K. Bringmann, A. Folsom and K. Ono). AMS Colloquium Series, 2017. (Winner of the Prose Award (Best Scholarly Book in Mathematics), Association of American Publishers, 2018. )

    2. Articles

  2. 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.
  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, Proceedings of the American Mathematical Society, 141 (2013), 499-503.
  7. E. Larson and L. Rolen, Integrality Properties of the CM-values of Certain Weak Maass Forms, Forum Mathematicum, 27, No. 2 (2015), 961-972.
  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, Integrality Properties of Class Polynomials for Non-Holomorphic Modular Functions, Journal of the Ramanujan Math Society, 30, No. 1 (2015), 83-99.
  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. 15 (2013), 5765-5768.
  12. 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.
  13. K. Bringmann, T. Creutzig, and L. Rolen, Negative Index Jacobi Forms and Quantum Modular Forms, Research in the Mathematical Sciences, 1 (2014), 1:11.
  14. C. Alfes, M. Griffin, K. Ono, and L. Rolen, Weierstrass Mock Modular Forms and Elliptic Curves, Research in Number Theory, (2015) 1:24.
  15. P. Guerzhoy, Z. Kent, and L. Rolen, Congruences for Taylor Expansions of Quantum Modular Forms, Research in the Mathematical Sciences, 1 (2014), 1:17.
  16. 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.
  17. K. Bringmann and L. Rolen, Half-Integral Weight Eichler Integrals and Quantum Modular Forms, Journal of Number Theory, special issue in honor of Winnie Li, 161 (2016), 240-254.
  18. 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.
  19. M. Mertens and L. Rolen, Lacunary Recurrences for Eisenstein Series, Research in Number Theory, (2015) 1:9.
  20. L. Rolen, A New Construction of Eisenstein's Completion of the Weierstrass Zeta Function, Proceedings of the American Math Society, 144 (2016), 1453-1456.
  21. K. Bringmann, J. Duncan, and L. Rolen, Maass-Jacobi Poincaré Series and Mathieu Moonshine, Advances in Mathematics, 281 (2015), 248-278.
  22. K. Bringmann and L. Rolen, Radial Limits of Mock Theta Functions, Research in the Mathematical Sciences, 2 (2015), 2:17.
  23. 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.
  24. L. Rolen, On $t$-core towers and $t $-defects of partitions, Annals of Combinatorics, 21, no. 1 (2017), 119-130.
  25. 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.
  26. 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.
  27. 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.
  28. 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.
  29. K. Ono, L. Rolen, and F. Sprung, Zeta-polynomials for modular form periods, Advances in Mathematics, 306 (2017), 328-343.
  30. K. Bringmann, J. Lovejoy, and L. Rolen, On some special families of $q$-hypergeometric Maass forms, International Mathematics Research Notices, Vol. 2018, No. 18, 5537-5561.
  31. N. Andersen, K. Bringmann, and L. Rolen, Images of Maass-Poincare series in the lower half-plane, Contributions in Mathematical and Computational Science 10, Springer 2017, proceedings of L-functions and automorphic forms.
  32. K. Bringmann, B. Kane, S. Löbrich, K. Ono, and L. Rolen, Number-theoretic generalization of the Monster denominator formula, Journal of Physics A: Mathematical and Theoretical 50 (2017) 473001, issue on "New Moonshines", 14 pages.
  33. K. Bringmann, J. Kaszian, and L. Rolen, Indefinite theta functions arising in Gromov-Witten Theory of elliptic orbifolds, Cambridge Journal of Mathematics 6 no. 1 (2018), 25-57.
  34. N. Diamantis and L. Rolen, Period polynomials, derivatives of L-functions, and zeros of polynomials, Research in the Mathematical Sciences, in the collection: Modular Forms are Everywhere: Celebration of Don Zagier's 65th Birthday, 5 (9) (2018).
  35. K. Bringmann, B. Kane, S. Löbrich, K. Ono, and L. Rolen, On divisors of modular forms, Advances in Mathematics, 329 (2018), 541-554.
  36. N. Benjamin, S. Kachru, K. Ono and L. Rolen, Black holes and class groups, Research in the Mathematical Sciences, 5 (2018), in the collection: Modular Forms are Everywhere: Celebration of Don Zagier's 65th Birthday, A43, 22 pages.
  37. L. Rolen, Mordell Integrals, entry in "Srinivasa Ramanujan - His Life, Legacy, and Mathematical Influence," Krishnaswami Alladi, George E. Andrews, Bruce C. Berndt, and Ken Ono, to appear.
  38. M. Griffin, K. Ono, L. Rolen, and D. Zagier, Jensen polynomials for the Riemann zeta function and other sequences Proceedings of the National Academy of Sciences, USA, 116, no. 23 (2019), 11103-11110.
  39. K. Ono and L. Rolen, On Witten's extremal partition functions, Annals of Combinatorics (special issue for George Andrews' 80th birthday conference), 23 (2020), 953-961.
  40. N. Gillman, X. Gonzalez, K. Ono, L. Rolen, and M. Schoenbauer, From partitions to Hodge numbers of Hilbert Schemes of Surfaces, Philosophical Transactions of the Royal Society, Series A, 378 (2020), 2163, special issue: "Srinivasa Ramanujan: in celebration of the centenary of his election as FRS", 13 pages.
  41. L. Rolen and K. Taylor, Richaud-Degert Real Quadratic Fields and Maass Waveforms, Annals of Combinatorics (special issue for George Andrews' 80th birthday), 23 (2019), 1009-1026.
  42. K. Bringmann, B. Kane, S. Löbrich, K. Ono, and L. Rolen, Corrigendum for "On Divisors of modular forms", Advances in Mathematics (2020) 374: Art. 106751.

    (Note: Statements of Thm 1.1 (3) and Thm 1.2 (3) are corrected. Both require that n=p^2 | N.)
  43. S. Ehlen, P. Guerzhoy, B. Kane, and L. Rolen, Central $L$-values of elliptic curves and local polynomials, Proc. London. Math. Soc., 120 (2020), 742-769.
  44. N. Diamantis and L. Rolen, Eichler cohomology and zeros of polynomials associated to derivatives of L-functions, Journal für die reine und angewandte Mathematik (Crelle's Journal), 770 (2021), 1-25.
  45. P. Guerzhoy, M. Mertens, and L. Rolen, Periodicities for Taylor coefficients of half-integral weight modular forms, Pacific Journal of Math., 307 no. 1 (2020), 131-157.
  46. L. Rolen and I. Wagner, A note on Schwartz functions and modular forms, Archiv der Mathematik, 115 (2020), 35-51.
  47. A. Babei, L. Rolen, and I. Wagner, The Riemann Hypothesis for Period Polynomials of Hilbert modular forms, Journal of Number Theory, 218 (2021) 44-61
  48. M. Mertens, K. Ono, and L. Rolen, Mock modular Eisenstein series with Nebentypus, Int. J. Number Theory (special issue for Bruce Berndt's 80th birthday conference), 17 no. 3 (2021), 683-697.
  49. K. Bringmann, B. Kane, L. Rolen, and Z. Tripp, Fractional partitions and conjectures of Chern-Fu-Tang and Heim-Neuhauser, Trans. Amer. Math. Soc. Ser. B 8 (2021), 615-634.
  50. J. Males, A. Mono, and L. Rolen, Higher depth mock theta functions and $q$-hypergeometric series, Forum Mathematicum, vol. 33, no. 4, 2021, 857-866.
  51. M. Griffin, K. Ono, L. Rolen, J. Thorner, Z. Tripp, and I. Wagner, Jensen polynomials for the Riemann Xi function. Advances in Mathematics Volume 397, 5 March 2022, 108186 (17 pages).
  52. J. Males, A. Mono, and L. Rolen, Polar harmonic Maaß forms and holomorphic projection, International Journal of Number Theory, vol. 18, (2022) no. 09, pp. 1975 -2004.
  53. M. Griffin, K. Ono, L. Rolen, and W.-L. Tsai, Limiting Betti distributions of Hilbert schemes on $n$ points, Canadian Mathematical Bulletin, Canadian Mathematical Bulletin, (2022), 1-16.
  54. K. Bringmann, K. Gomez, L. Rolen, and Z. Tripp, Infinite families of crank functions, Stanton-type conjectures, and unimodality, Research in the Mathematical Sciences volume 9, Article number: 37 (2022) (arxiv version 20 pages).
  55. Y. Jiang, L. Rolen, and M. Woodbury, Generalized Frobenius partitions, Motzkin paths, and Jacobi forms, Journal of Combinatorial Theory Series A, Volume 190, Issue C, Aug 2022 (28 pages).
  56. K. Ono, S. Pujahari, and L. Rolen, Turán Inequalities for the plane partition function, Advances in Mathematics, Volume 409, Part B, 19 November 2022, 108692 (31 pages).
  57. K. Gomez, J. Males, and L. Rolen, The second shifted difference of partitions and applications, Bulletin of the Australian Mathematical Society 107 no. 1 (2023), 66-78.
  58. N. Diamantis, M. Lee, W. Raji, and L. Rolen, $L$-series of harmonic Maass forms and a summation formula for harmonic lifts, Int. Math. Res. Not., Volume 2023, Issue 18, Pages 15729-15765.
  59. N. Diamantis, M. Lee, and L. Rolen, Analogues of the Bol Operator for half-integral weight weakly holomorphic modular forms, Proc. Amer. Math. Soc., 152, no. 1 (2024), Pages 37-51.
  60. N. Diamantis and L. Rolen, $L$-values of harmonic Maass forms, Trans. Amer. Math. Soc., 377 no. 06 (2024), 3905-3926.
  61. A. Folsom, J. Males, and L. Rolen, Equidistribution and partition polynomials, Ramanujan Journal,
    62. Volume 65, pages 1827-1848, (2024), part of the collection: "100 years of Mock Theta Functions: A celebration of Ramanujan's influence from his last letter until today."
  62. J. Branch, N. Diamantis, W. Raji, and L. Rolen, Period-like polynomials for $L$-series associated with half-integral weight cusp forms, Res. Math. Sci., volume 11, article 44 (2024), (14 pages).
  63. K. Bringmann, S.H. Man, L. Rolen, and M. Storzer, Asymptotics of Parity Biases for Partitions into Distinct Parts via Nahm Sums, Proc. London Math Soc. 129 no. 6 (2024), (40 pages).
  64. W. Bridges, W. Craig, A. Folsom, and L. Rolen Zeros of Hook Polynomials and Related Questions, SIGMA 21 (2025), 026, 14 pages.
  65. K. Bringmann, A. Mono, and L. Rolen Flipping operators and harmonic Maass forms, Ramanujan J. 68, 40 (2025) (13pages).
  66. K. Banerjee, K. Bringmann, and L. Rolen, Recent developments in the Jensen-Pólya Program, Journal of Open Mathematical Problems, 2 no. 1 (2026), 53-69.
  67. A. Folsom, J. Males, L. Rolen, and M. Storzer, Oscillating asymptotics and conjectures of Andrews, Mathematische Annalen, accepted for publication (arXiv version 36 pages).

    68. Preprints

  68. K. Ono, M. Locus Dawsey, A. Wilson, S. Mesihovic, F. Muir, S. Ono, J. Howell, L. Rolen, A case study of elite breaststrokers using inertial measurement units, submitted, 18 pages.
  69. M. Alsharif, M. Gibson, D. de Laat, M. Milinovich, Z. Tripp, L. Rolen, and I. Wagner, Pair correlation for Dedekind zeta functions, in preparation.
  70. J. Duncan, M. Griffin, M. Mertens, and L. Rolen, Elliptic curve arithmetic and Janko's first group, in preparation.
  71. L. Rolen, Z. Tripp, and I. Wagner, Cranks for Ramanujan-type congruences of $k$-colored partitions, submitted (22 pages).
  72. K. Bringmann, S.H. Man, and L. Rolen, Unimodality of ranks and a proof of Stanton's conjecture, submitted (23 pages)
  73. T. Huber, J. McLaughlin, L. Rolen, and D. Ye, Some Remarks on the Coefficients of Hecke Eigenforms and Chebyshev Polynomials of the Second Kind, submitted (10 pages).
  74. A. Mono, J. Males, L. Rolen, and I. Wagner, Central $L$-values of newforms and local polynomials, submitted (47 pages).
  75. E. McSpirit and L. Rolen Quantum Modular Forms and Resurgence, submitted (33 pages).
  76. O. Beckwith, N. Diamantis, R. Gupta, K. Thalagoda, and L. Rolen, Summation formulas for Hurwitz class numbers and other mock modular coefficients, submitted (33 pages).
  77. A. Mono, L. Rolen, and J. Stumpenhusen, On a divisor modular form and a theta lift, submitted (14 pages).
  78. K. Bringmann, B. Kane, A. Pahari, and L. Rolen, Strict log-concavity of $k$-coloured partitions, submitted (13 pages).
  79. K. Banerjee, K. Bringmann, and L. Rolen, The Jensen-Pólya Program and Inequalities for Arithmetic Sequences, submitted (26 pages).
  80. K. Bringmann, P. Guerzhoy, M. Mertens, and L. Rolen On $U_p$-congruences for Meromorphic Modular Forms vis Supersingularity, submitted (15 pages).

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Last updated March 27, 2026.