Zobrazeno 1 - 10
of 1 036
pro vyhledávání: '"11F27"'
Autor:
Kakuhama, Hirotaka
In this paper, we formulate a conjecture that describes the local theta correspondences in terms of the local Langland correspondences for rigid inner twists, which contain the correspondences for quaternionic dual pairs. Moreover, we verify the conj
Externí odkaz:
http://arxiv.org/abs/2409.00805
Autor:
Bieker, Patrick, Kiefer, Paul
We show that a modular unit on two copies of the upper half-plane is a Borcherds product if and only if its boundary divisor is a special boundary divisor. Therefore, we define a subspace of the space of invariant vectors for the Weil representation
Externí odkaz:
http://arxiv.org/abs/2407.06610
Let $\Gamma$ be a cocompact, oriented Fuchsian group which is not on an explicit finite list of possible exceptions and $q$ a sufficiently large prime power not divisible by the order of any non-trivial torsion element of $\Gamma$. Then $|\mathrm{Hom
Externí odkaz:
http://arxiv.org/abs/2407.07193
In the 80's Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety with respect to the other variable.
Externí odkaz:
http://arxiv.org/abs/2406.19921
Autor:
Lee, Yu-Sheng
Let K/F be a CM extension satisfying the ordinary assumption for an odd prime p. In this article, we construct Hida families that interpolate theta lifts of algebraic Hecke characters to a definite unitary group U(2) defined from skew-Hermitian space
Externí odkaz:
http://arxiv.org/abs/2406.12351
Cuspidal automorphic representations $\tau$ of $\mathrm{PGL}_2$ correspond to global long root $A$-parameters for $\mathsf{G}_2$. Using an exceptional theta lift between $\mathrm{PU}_3$ and $\mathsf{G}_2$, we construct the associated global $A$-packe
Externí odkaz:
http://arxiv.org/abs/2405.17375
In this paper, we consider a version of the bias conjecture for second moments in the setting of elliptic curves over finite fields whose trace of Frobenius lies in an arbitrary fixed arithmetic progression. Contrary to the classical setting of reduc
Externí odkaz:
http://arxiv.org/abs/2405.14234
Autor:
Zindulka, Mikuláš
We consider sums of Hurwitz class numbers of the type $\sum_{t \equiv m \pmod{M}}H(4p-t^2)$, where $M$ is composite. For $M=6$ and $8$, we show that these sums can be expressed in terms of coefficients of CM cusp forms. This leads to explicit formula
Externí odkaz:
http://arxiv.org/abs/2405.07565
Autor:
Miller, Niklas
We show that the correct decoding probability of an eavesdropper and error probability of a legitimate receiver in a Rayleigh fading wiretap channel with lattice coset coding are both upper bounded by the theta function in the $\ell^1$-norm of the du
Externí odkaz:
http://arxiv.org/abs/2405.04143
Gross, Kohnen and Zagier proved an averaged version of the algebraicity conjecture for special values of higher Green's functions on modular curves. In this work, we study an analogous problem for special values of Green's functions on hyperbolic $3$
Externí odkaz:
http://arxiv.org/abs/2405.01219