**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. )- 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. - 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. - L. Rolen,
*A Generalization of the Congruent Number Problem*, International Journal of Number Theory,**7**, No. 8 (2011), 2237-2249. - E. Larson and L. Rolen,
*Progress Towards Counting D*, Involve,_{5}Quintic Fields**5**, No. 1 (2012), 91-97. - 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. - E. Larson and L. Rolen,
*Integrality Properties of the CM-values of Certain Weak Maass Forms*, Forum Mathematicum,**27**, No. 2 (2015), 961-972. - 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. - 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. - L. Rolen and R. Schneider,
*A "Strange" Vector Valued Quantum Modular Form*, Archiv der Mathematik,**101**(2013), 43-52. - 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. - 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. - K. Bringmann, T. Creutzig, and L. Rolen,
*Negative Index Jacobi Forms and Quantum Modular Forms*, Research in the Mathematical Sciences,**1**(2014), 1:11. - C. Alfes, M. Griffin, K. Ono, and L. Rolen,
*Weierstrass Mock Modular Forms and Elliptic Curves*, Research in Number Theory, (2015) 1:24. - P. Guerzhoy, Z. Kent, and L. Rolen,
*Congruences for Taylor Expansions of Quantum Modular Forms*, Research in the Mathematical Sciences,**1**(2014), 1:17. - 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. - 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. - 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. - M. Mertens and L. Rolen,
*Lacunary Recurrences for Eisenstein Series*, Research in Number Theory, (2015) 1:9. - L. Rolen,
*A New Construction of Eisenstein's Completion of the Weierstrass Zeta Function*, Proceedings of the American Math Society,**144**(2016), 1453-1456. - K. Bringmann, J. Duncan, and L. Rolen,
*Maass-Jacobi Poincaré Series and Mathieu Moonshine*, Advances in Mathematics,**281**(2015), 248-278. - K. Bringmann and L. Rolen,
*Radial Limits of Mock Theta Functions*, Research in the Mathematical Sciences,**2**(2015), 2:17. - 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. -
L. Rolen,
*On $t$-core towers and $t $-defects of partitions*, Annals of Combinatorics,**21**, no. 1 (2017), 119-130. - 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. -
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. -
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. -
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. -
K. Ono, L. Rolen, and F. Sprung,
*Zeta-polynomials for modular form periods,*Advances in Mathematics,**306**(2017), 328--343. -
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. -
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*. - 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. -
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. -
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). -
K. Bringmann, B. Kane, S. Löbrich, K. Ono, and L. Rolen,
*On divisors of modular forms,*Advances in Mathematics,**329**(2018), 541-554. -
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. -
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. -
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. -
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. -
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. -
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. -
K. Bringmann, B. Kane, S. LĂ¶brich, 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.) -
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. -
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. -
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. -
L. Rolen and I. Wagner,
*A note on Schwartz functions and modular forms,*Archiv der Mathematik,**115**(2020), 35-51. -
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 -
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. -
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. -
M. Alsharif, M. Gibson, D. de Laat, M. Milinovich, Z. Tripp, L. Rolen, and I. Wagner,
*Title TBD*, in preparation. -
M. Griffin, K. Ono, J. Thorner, Z. Tripp, L. Rolen, and I. Wagner,
*Jensen Polynomials for the Riemann Xi Function*, submitted. -
J. Duncan, M. Griffin, M. Mertens, and L. Rolen,
*Elliptic curve arithmetic and Janko's first group*, in preparation. -
K. Bringmann, B. Kane, L. Rolen, and Z. Tripp,
*Fractional partitions and conjectures of Chern-Fu-Tang and Heim-Neuhauser*, submitted, arxiv: 2011.08874. -
L. Rolen, Z. Tripp, and I. Wagner,
*Cranks for Ramanujan-type congruences of $k$-colored partitions*, submitted. -
J. Males, A. Mono, and L. Rolen,
*Polar Harmonic Maass forms and Holomorphic Projection*, submitted. -
J. Males, A. Mono, and L. Rolen,
*Higher depth mock theta functions and $q$-hypergeometric series*, submitted. -
L. Rolen and K. Taylor,
*TBD*, in preparation. -
Y. Jiang, L. Rolen, and M. Woodbury,
*TBD*, in preparation.