Add to ORKGWe consider the Kudla-Millson theta series associated to a quadratic space of signature $(N,N)$. By combining a `see-saw' argument with the Siegel-Weil formula, we show that its (regularized) integral along a torus attached to a totally real field of degree $N$ is the diagonal restriction of an Eisenstein series. It allows us to express the Fourier coefficients of the diagonal restriction as intersection numbers, which generalizes a result of Darmon-Pozzi-Vonk to totally real fields.Comment: 46 page
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This is the final version. Available on open access from Springer via the DOI in this recordWe inves...
We give a formula for certain values and derivatives of Siegel series and use them to compute Fourie...
AbstractWe give a Katok–Sarnak type correspondence for Niebur type Poincaré series and Eisenstein se...
We compute the diagonal restriction of the first derivative with respect to the weight of a p-adic f...
In this paper, we study the diagonal restrictions of certain Hilbert theta series for a totally real...
The Kudla-Millson theta series $\theta_{km}$ of a pseudoeuclidean space $V$ of signature $(p,q)$ and...
In this work we give an explicit formula for the Fourier coefficients of Eisenstein series correspon...
Let $K$ be an imaginary quadratic field where $p$ splits, $p\geq5$ a prime number and $f$ an eigen-n...
The aim of this article is to prove the Siegel-Weil formula over function fields for the dual reduct...
We report on recent joint work with Tonghai Yang [BY] on a conjecture of Kudla relating the arithmet...
We prove modularity of formal series of Jacobi forms that satisfy a natural symmetry condition. They...
A generalization of Serre's $p$-adic Eisenstein series in the case of Siegel modular forms is studie...
Using the theta correspondence, we study a lift from (not necessarily rapidly decreasing) closed dif...
We study algebraic cycles in the moduli space of $\mathrm{PGL}_2$-shtukas, arising from the diagonal...
We study the arithmetic of degree $N-1$ Eisenstein cohomology classes for locally symmetric spaces a...
This is the final version. Available on open access from Springer via the DOI in this recordWe inves...
We give a formula for certain values and derivatives of Siegel series and use them to compute Fourie...
AbstractWe give a Katok–Sarnak type correspondence for Niebur type Poincaré series and Eisenstein se...