25 citations · 132 across the 31 of their papers we have counts for
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math.NT2001★ 25 cited
On a conjecture of Jacquet
Michael Harris, Stephen S. Kudla
In this note, we prove in full generality a conjecture of Jacquet concerning the nonvanishing of the triple product L-function at the central point. Let $\kay$ be a number field an…
math.NT2001★ 4 cited
Derivatives of Eisenstein series and Faltings heights
S. Kudla, M. Rapoport, T. Yang
We prove a relation between a generating series for the heights of Heegner cycles on the arithmetic surface associated to a Shimura curve and the second term in the Laurent expansi…
math.NT2001★ 14 cited
Integrals of Borcherds forms
Stephen S. Kudla
In his Inventiones papers in 1995 and 1998, Borcherds constructed holomorphic automorphic forms with product expansions on bounded domains associated to rational quadrat…