Publications
Books
- Harmonic Maass forms and mock modular forms: theory and applications (with K. Bringmann, A. Folsom and K. Ono). AMS Colloquium Series, to appear in 2017.
Articles
- 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 D5 Quintic Fields, Involve, 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. 19 (2013), 7592-7594.
- 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, accepted for publication in 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.
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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.
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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.
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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.
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K. Ono, L. Rolen, and R. Schneider, Explorations in the theory of partition zeta functions, to appear in Exploring the Riemann Zeta Function, 190 years from Riemann's Birth, Springer, editors: H. Montgomery, A. Nikeghbali, and M. Rassias.
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K. Ono, L. Rolen, and F. Sprung,
Zeta-polynomials for modular form periods, Advances in Mathematics, 306 (2017), 328--343.
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K. Bringmann, J. Lovejoy, and L. Rolen, On some special families of $q$-hypergeometric Maass forms, Int. Math. Res. Not., accepted for publication.
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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.
Preprints
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K. Bringmann, J. Kaszian, and L. Rolen, Higher-depth mock modular forms arising in Gromov-Witten Theory of elliptic orbifolds, preprint.
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K. Bringmann, B. Kane, S. Löbrich, K. Ono, and L. Rolen, On divisors of modular forms, submitted.
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K. Bringmann, L. Rolen, and M. Woodbury Formulas for Jacobi forms and generalized Frobenius partitions, preprint.
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K. Bringmann, B. Kane, S. Löbrich, K. Ono, and L. Rolen, Number-theoretic generalization of the Monster denominator formula, submitted.
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N. Diamantis and L. Rolen, Eichler cohomology and zeros of polynomials associated to derivatives of L-functions, submitted.
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N. Diamantis and L. Rolen, Period polynomials, derivatives of L-functions, and zeros of polynomials, submitted.
Back to Larry Rolen's Homepage
Last updated August 10, 2017