14 citations · 14 across the 1 of their papers we have counts for
2 papers
math.AG2002★ 14 cited
Curves of every genus with many points, II: Asymptotically good families
Noam D. Elkies, Everett W. Howe, Andrew Kresch +3
We resolve a 1983 question of Serre by constructing curves with many points of every genus over every finite field. More precisely, we show that for every prime power q there is a…
math.NT2000
On the genera of X_0(N)
János A. Csirik, Joseph L. Wetherell, Michael E. Zieve
Let g_0(N) be the genus of the modular curve X_0(N). We record several properties of the sequence {g_0(N)}. Even though the average size of g_0(N) is 1.25N/pi^2, a random positive…