11 citations · 11 across the 4 of their papers we have counts for
4 papers
Modular Forms in Pari/GP
Karim Belabas, Henri Cohen
We give theoretical and practical information on the Pari/GP modular forms package available since the spring of 2018. Thanks to the use of products of two Eisenstein series, this…
Computing the residue of the Dedekind zeta function
Karim Belabas, Eduardo Friedman
Assuming the Generalized Riemann Hypothesis, Bach has shown that one can calculate the residue of the Dedekind zeta function of a number field K by a clever use of the splitting of…
Factoring polynomials over global fields
K. Belabas, M. van Hoeij, J. Klueners +1
Let K be a global field and f in K[X] be a polynomial. We present an efficient algorithm which factors f in polynomial time.
Counting horoballs and rational geodesics
Sa'ar Hersonsky, Frederic Paulin
Let M be a geometrically finite pinched negatively curved Riemannian manifold with at least one cusp. We study the asymptotics of the number of geodesics in M starting from and ret…