Number Theory

Arithmetic Algebraic Geometry: Relative splitting of one-motives by D. Bertrand The Hasse principle in a pencil of algebraic varieties by J.-L. Colliot-Thelene Stark-Heegner points over real quadratic fields by H. Darmon On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces by F. Diamond The ABC conjecture and exponents of class groups of quadratic fields by M. R. Murty Heights of points on subvarieties of ${\mathbb G}_m^n$ by W. Schmidt A note on a geometric analogue of Ankeny-Artin-Chowla's conjecture by J. Yu and J.-K. Yu Automorphic Forms: Determinant of representations of division algebras of prime degree over local fields by S. Jayasree and R. Tandon Mod $p$ modular forms by C. Khare On exceptions of integral quadratic forms by A. K. Lal and B. Ramakrishnan A brief survey on the theta correspondence by D. Prasad Deformations of Siegel-Hilbert Hecke eigensystems and their Galois representations by J. Tilouine Elementary and Analytic Number Theory: A new key identity for Gollnitz' (Big) partition theorem by K. Alladi and G. E. Andrews Some local-convexity theorems for the zeta-function-like analytic functions--III by R. Balasubramanian and K. Ramachandra Perfect powers in products of terms in an arithmetical progression IV by R. Balasubramanian and T. N. Shorey On some connections between probability and number theory by J.-M. Deshouillers Inhomogeneous minima of a class of quaternary quadratic forms of type (2,2) by M. Raka and U. Rani On an arithmetical inequality, II by S. Srinivasan Transcendental Number Theory: Algebraic numbers close to 1: results and methods by F. Amoroso Transcendence in positive characteristic by W. D. Brownawell Minorations des hauteurs normalisees des sous-varietes de varietes abeliennes by S. David and P. Philippon Klein polygons and geometric diagrams by G. Lachaud Sails and Klein polyhedra by G. Lachaud Automata and transcendence by D. S. Thakur.