Articles avec comité de lecture
- It's as easy as ``abc'' (with Tom Tucker), Notices of the American Mathematical
Society. Accepté.
- Unit fractions and the class number of a cyclotomic field (with Ernest S. Croot III),
Journal of the London Mathematical Society. Accepté.
- The number of fields generated by the square root of values of a given polynomial (with
Pam Cutter and Tom Tucker), Canadian Mathematical Bulletin. Accepté.
- Smooth numbers: Computational number theory and beyond, MSRI workshop.
Accepté
- Upper bounds for |L(1,\chi)| (with K. Soundararajan), Quarterly Journal of Mathematics,
Oxford. Accepté.
- Two contradictory conjectures concerning Carmichael numbers (with Carl Pomerance),
Mathematics of Computation 71 (2002), 873-881..
- Rabinowicz revisited (with Richard Mollin), Acta Arithmetica 96 (2001), 139-153.
- The spectrum of multiplicative functions (with K. Soundararajan), Annals of Mathematics
153 (2001), 407-470.
- Large Character Sums (with K. Soundararajan), Journal of the American Mathematical
Society 14 (2001), 365-397.
- Product of integers in an interval, modulo squares (with John Selfridge), Electronic
Journal of Combinatorics 8(1) (2001), R5.
- More points on curves over finite fields than expected (with Brad Brock), Finite Fields
and their Applications 7 (2001), 70-91.
- The least common multiple and lattice points on hyperbolas (with Jorge
Jiménez-Urroz), Quart. J. Math (Oxford) 51 (2000), 343-352.
- Zeros of Fekete polynomials (with Brian Conrey, K. Soundararajan and Bjorn Poonen),
Annales de l'Institut Fourier (Grenoble) 50 (2000), 865-889.
- An upper bound on the least inert prime in a real quadratic field, (with Richard Mollin
and Hugh C. Williams), Canadian Journal of Mathematics 52 (2000), 369-380.
- ABC implies no ``Siegel Zeroes'' for L-functions of characters with negative
discriminant (with Harold M. Stark), Inventiones Mathematicae 139 (2000), 509-523.
- On the scarcity of powerful binomial coefficients, Mathematika 46 (1999), 397-410.
- Borwein and Bradley's Apéry-like formulae for \zeta (4n+3)(with G. Almkvist),
Experimental Mathematics 8 (1999), 197-204.
- The set of differences of a given set (with F. Roesler), American Mathematical Monthly
106 (1999), 338-344.
- Motivating the multiplicative spectrum (with K. Soundararajan), in Topics in Number
Theory (S.D. Ahlgren et.al eds.), Kluwer, Netherlands (1999), 1-15.
- ABC means we can count squarefrees, International Mathematical Research Notices 19
(1998), 991-1009.
- A binary additive problem of Erdos and the order of 2 mod p^2 (with K. Soundararajan),
Ramanujan Journal, 2 (1998), 283-298.
- On the exponential sum over k-free numbers (with Joerg Brüdern, Alberto Perelli,
Bob Vaughan and Trevor Wooley), Philosophical Transactions of the Royal Society, 356
(1998), 739-761.
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