Congruence properties for a class of arithmetical functions.
Congruences for hyper -ary overpartition functions.
Congruences for m-ary partitions.
Congruences for Ramanujan's ϕ function
Congruences for the Convolution of Divisor sum function
Congruences for the Fourier coefficients of certain modular forms.
Congruences for the partition function modulo powers of 5
Congruences in ordered pairs of partitions.
Congruences involving F-partition functions.
Congruences involving generalized Frobenius partitions.
Continuity Properties of Voronoi Domains.
Correction to the paper "A theorem in additive number theory''
Corrigendum: A note on self-conjugate -color partitions.
Corrigendum of A Note on the Exceptional Set for Goldbach's Problem in Short Intervals.
Corrigendum to “On short sums of certain multiplicative functions”.
Corrigendum to the paper "Additive problems with prime numbers of special type" (Acta Arith. 96 (2000), 53-88)
Counting problems and semisimple groups.
Cranks and t-cores.
Crible et 3-rang des corps quadratiques
Considérons le cardinal de l’ensemble des racines cubiques de l’unité dans le groupe des classes de , où est un discriminant fondamental. Un résultat de Davenport et Heilbronn calcule la valeur moyenne de ces nombres quand varie. On obtient ici géométriquement une borne explicite pour le reste, avec la possibilité supplémentaire de restreindre les à des progressions arithmétiques. Des techniques de crible permettent alors d’évaluer la 3-partie des , où est pseudo-premier d’ordre . On...
Critical Dimensions for counting Lattice Points in Euclidean Annuli
We study the number of lattice points in ℝd, d ≥ 2, lying inside an annulus as a function of the centre of the annulus. The average number of lattice points there equals the volume of the annulus, and we study the L1 and L2 norms of the remainder. We say that a dimension is critical, if these norms do not have upper and lower bounds of the same order as the radius goes to infinity. In [Duke Math. J., 107 (2001), No. 2, 209–238], it was proved that...