Geodesic

Sommaire du Fascicule no. 1

Uniform bounds for Fourier coefficients of theta-series with arithmetic applications
p. 1-21
Distinguishing Hecke eigenvalues of primitive cusp forms
p. 23-34
On higher-power moments of ${\mit\Delta }(x)$ (II)
p. 35-54
Four squares of primes and 165 powers of 2
p. 55-70
Normal integral bases and ray class groups
p. 71-85
On the number of representations of a positive integer by a binary quadratic form
p. 87-98

Sommaire du Fascicule no. 2

Ergodic and Diophantine properties of algorithms of Selmer type
p. 99-111
Action of Hecke operators on products of Igusa theta constants with rational characteristics
p. 113-133
On the difference of the consecutive primitive roots
p. 135-148
Sur la proximité des nombres puissants
p. 149-157
The modular degree and the congruence number of a weight 2 cusp form
p. 159-167
Sur le spectre d'un polynôme à plusieurs variables
p. 169-181
A generalization of a third irreducibility theorem of I. Schur
p. 183-197

Sommaire du Fascicule no. 3

More precise Pair Correlation Conjecture on the zeros of the Riemann zeta function
p. 199-214
Chen's double sieve, Goldbach's conjecture and the twin prime problem
p. 215-273
A quantitative lower bound for the greatest prime factor of $(ab+1)(bc+1)(ca+1)$
p. 275-294
On Karatsuba Conjecture and the Lindelöf Hypothesis
p. 295-300

Sommaire du Fascicule no. 4

Linear mod one transformations and the distribution of fractional parts $\{\xi (p/q)^n\} $
p. 301-311
A note on circular distributions
p. 313-322
The Erdős Theorem and the Halberstam Theorem in function fields
p. 323-330
Des obstructions globales à la descente des revêtements
p. 331-348
Hilbert symbols as maps of functors
p. 349-368
Generalization of two identities in Ramanujan's lost notebook
p. 369-389
Ranks of quadratic twists of an elliptic curve
p. 391-396
Correction to “A note on the existence of certain infinite families of imaginary quadratic fields” (Acta Arith. 110 (2003), 37–43)
p. 397