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Uniformly Diophantine numbers in a fixed real quadratic field
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- 01 July 2009, pp. 827-844
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Primes with an average sum of digits
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- 01 March 2009, pp. 271-292
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q-series and weight 3/2 Maass forms
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- 01 May 2009, pp. 541-552
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Hilbert modular forms and p-adic Hodge theory
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- 21 September 2009, pp. 1081-1113
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The exceptional zero conjecture for Hilbert modular forms
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- 01 January 2009, pp. 1-55
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On the parity of ranks of Selmer groups IV. With an appendix by Jean-Pierre Wintenberger
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- 03 December 2009, pp. 1351-1359
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Produit eulérien motivique et courbes rationnelles sur les variétés toriques
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- 03 December 2009, pp. 1360-1400
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On Ihara’s lemma for Hilbert modular varieties
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- 09 September 2009, pp. 1114-1146
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Perfect powers from products of consecutive terms in arithmetic progression
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- 01 July 2009, pp. 845-864
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Tate–Shafarevich groups in anticyclotomic ℤp-extensions at supersingular primes
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- 19 February 2009, pp. 293-308
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Geometric Weil representation: local field case
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- 01 January 2009, pp. 56-88
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Mock Jacobi forms in basic hypergeometric series
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- 01 May 2009, pp. 553-565
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Independence of points on elliptic curves arising from special points on modular and Shimura curves, II: local results
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- 01 May 2009, pp. 566-602
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Classification of two-dimensional split trianguline representations of p-adic fields
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- 01 July 2009, pp. 865-914
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Sums of smooth squares
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- 03 December 2009, pp. 1401-1441
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Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number
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- 01 January 2009, pp. 89-111
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Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
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- 01 March 2009, pp. 309-363
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The Gross–Kohnen–Zagier theorem over totally real fields
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- 10 August 2009, pp. 1147-1162
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Stark units and the main conjectures for totally real fields
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- 23 October 2009, pp. 1163-1195
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On the Eisenstein ideal for imaginary quadratic fields
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- 01 May 2009, pp. 603-632
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