Publications

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     Maclaurin's Inequality and the Generalized Bernoulli Inequality (with I. Ben-Ari), Mathematics Magazine 87 (2014), 14--24.

     The Congruent Number Problem, The Harvard College Mathematics Review 2 (2008), 58--74.

     Prime specialization higher genus I (with B. Conrad), Journal für die reine und angewandte Mathematik 624 (2008), 173--216.

     Prime specialization in genus 0 (with B. Conrad and R. Gross), Trans. Amer. Math. Soc. 360 (2008), 2867--2908.

     Root numbers and ranks in positive characteristic (with B. Conrad and H. Helfgott), Adv. Math. 198 (2005), 684−731.

     Irreducible values of polynomials: a non-analogy, in “Number Fields and Function Fields − Two Parallel Worlds,” Birkhäuser, 2005.

     Partial Euler products on the critical line, Canad. J. Math. 57 (2005), 267−297.

     The Möbius function and the residue theorem (with B. Conrad), J. Number Theory 110 (2005), 22−36.

     Hardy–Littlewood constants, pp. 133−154 in “Mathematical properties of sequences and other combinatorial structures,” Kluwer, 2003.

     On Weil's proof of the bound for Kloosterman sums, J. Number Theory 97 (2002), 439−446.

     The digit principle, J. Number Theory 84 (2000), 230−257.

     A q-analogue of Mahler expansions, I, Adv. Math. 153 (2000), 185−230.

     The origin of representation theory, Enseign. Math. 44 (1998), 361−392.

     Jacobi sums and Stickelberger's congruence, Enseign. Math. 41 (1995), 141−153.


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