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 Encyclopedia of Srinivasa Ramanujan and His Mathematics, editors: Krishnaswami Alladi, George E. Andrews, Bruce C. Berndt, and Ken Ono, accepted.
  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), accepted for publication.

    49. Preprints

  49. 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.
  50. M. Alsharif, M. Gibson, D. de Laat, M. Milinovich, Z. Tripp, L. Rolen, and I. Wagner, Title TBD, in preparation.
  51. M. Griffin, K. Ono, J. Thorner, Z. Tripp, L. Rolen, and I. Wagner, Jensen Polynomials for the Riemann Xi Function, submitted.
  52. J. Duncan, M. Griffin, M. Mertens, and L. Rolen, Elliptic curve arithmetic and Janko's first group, in preparation.
  53. K. Bringmann, B. Kane, L. Rolen, and Z. Tripp, Fractional partitions and conjectures of Chern-Fu-Tang and Heim-Neuhauser, submitted, arxiv: 2011.08874.
  54. L. Rolen, Z. Tripp, and I. Wagner, Cranks for Ramanujan-type congruences of $k$-colored partitions, submitted.
  55. J. Males, A. Mono, and L. Rolen, Polar Harmonic Maass forms and Holomorphic Projection, submitted.
  56. J. Males, A. Mono, and L. Rolen, Higher depth mock theta functions and $q$-hypergeometric series, submitted.
  57. L. Rolen and K. Taylor, TBD, in preparation.
  58. Y. Jiang, L. Rolen, and M. Woodbury, TBD, in preparation.

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Last updated January 13, 2021.