1 citations · 2 across the 7 of their papers we have counts for
7 papers
On Petersson's partition limit formula
Carlos Castaño-Bernard, Florian Luca
For each prime consider the Legendre character . Let be the number of partitions of into parts such that .…
On the index of the Heegner subgroup of elliptic curves
Carlos Castano-Bernard
Let E be an elliptic curve of conductor N and rank one over Q. So there is a non-constant morphism X+0(N) --> E defined over Q, where X+0(N) = X0(N)/wN and wN is the Fricke involut…
A level N reduction theory of indefinite binary quadratic forms
Carlos Castano-Bernard
In this paper we study a geometric coding algorithm for indefinite binary quadratic forms Q for the congruence subgroup Γ^0(N), with respect to the usual fundamental domain FN, whe…
Coding the real locus of X_0+(N)
Carlos Castano-Bernard
Let X_0+(N) be the Atkin-Lehner quotient of the modular curve X_0(N) associated to the Fricke involution wN. Assume N > 3 prime and endow the real locus X+ 0 (N)(R) with the real t…
Further properties of a function of Ogg and Ligozat
Carlos Castano-Bernard
Certain identities of Ramanujan may be succinctly expressed in terms of the rational function w_N(g) = w_N(f) - 1/w_N(f) on the modular curve X_0(N), where f is a certain modular u…
On the 2-divisibility of certain Heenger points
Carlos Castano-Bernard
Let E be an elliptic curve defined over the rationals and let N be its conductor. Assume N is prime. In this paper we give numerical evidence that suggests some conjectures on the…