Jenkins, Paul

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Email: jenkins@math.byu.edu
Office: 282 TMCB
Phone Number: (801) 422-5868
Fax Number: (801) 422-0504
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Prizes and Awards:

Robert Sorgenfrey Distinguished Teaching Award, UCLA Mathematics Department, 2008

Distinguished Mentoring Award, BYU Department of Mathematics, 2011

Publications:

(with J. Rouse) Bounds for coefficients of cusp forms and extremal lattices, Bull. London Math. Soc., 43(5) (2011), 927-938.

Odd perfect numbers have a prime factor exceeding 10^7, Mathematics of Computation 72 (2003), no. 243, 1549-1554.

p-adic properties for traces of singular moduli, International Journal of Number Theory 1 (2005), no. 1, 103-107.

(with J. Bruinier and K. Ono) Hilbert class polynomials and traces of singular moduli, Mathematische Annalen 334 (2006), no. 2, 373-393.

Kloosterman sums and traces of singular moduli, Journal of Number Theory 117 (2006), no. 2, 301-314.

(with K. Ono) Divisibility criteria for class numbers of imaginary quadratic fields, Acta Arithmetica 125 (2006), no. 3, 285-289.

(with W. Duke) On the zeros and coefficients of certain weakly holomorphic modular forms, Pure and Applied Mathematics Quarterly 4 (2008), no. 4, 1327-1340.

(with W. Duke) Integral traces of singular values of weak Maass forms, Algebra and Number Theory 2 (2008), no. 5, 573-593.

(with D. Doud) p-adic properties of coefficients of weakly holomorphic modular forms, International Mathematics Research Notices, (16) (2010), 3184-3206.

(with D. Doud and J. Lopez) Two-divisibility of the coefficients of certain weakly holomorphic modular forms, Ramanujan Journal 28 (2012), no. 1, 89-111, doi: 10.1007/s11139-011-9331-0, arXiv:1105.0684v2 [math.NT].

(with N. Andersen) Divisibility properties of coefficients of level p modular functions for genus zero primes, Proceedings of the American Mathematical Society 141 (2013), 41-53, arXiv:1106.1188v1 [math.NT].

(with S. Garthwaite) Zeros of weakly holomorphic modular forms of levels 2 and 3, submitted for publication, arXiv:1205.7050v1 [math.NT].