Results 31 to 40 of about 2,560,834 (159)
It is shown that the space of invariant trilinear forms on smooth representations of a semisimple Lie group is finite dimensional if the group is a product of hyperbolic groups.
Anton Deitmar
doaj +1 more source
Modular inflation observables and j-inflation phenomenology
Modular inflation is the restriction to two fields of automorphic inflation, a general group based framework for multifield scalar field theories with curved target spaces, which can be parametrized by the comoving curvature perturbation ℛ and the ...
Rolf Schimmrigk
doaj +1 more source
Overconvergent algebraic automorphic forms [PDF]
A general theory of overconvergent p-adic modular forms and eigenvarieties is presented for connected reductive algebraic groups G whose real points are compact modulo centre, extending earlier constructions due to Buzzard, Chenevier and Yamagami for ...
David Loeffler, Loeffler, David
core +1 more source
An Integral Representation of Standard Automorphic L Functions for Unitary Groups
Let F be a number field, G a quasi-split unitary group of rank n. We show that given an irreducible cuspidal automorphic representation π of G(A), its (partial) L function LS(s,π,σ) can be represented by a Rankin-Selberg-type integral involving cusp ...
Yujun Qin
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The paper presents the method of identifying the most vulnerable territories under exogenous processes caused by aridification/humidification. It is based on the assumption that some forms and types of relief increase resistance of terrestrial ecosystems
D. A. Chupina +2 more
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These findings confirm that the Campanian‐aged Bozbent Member turbiditic sequence in the Eastern Pontides was deposited in an extensional fore‐arc basin and therefore exhibits the petrographic and geochemical characteristics of passive margin sandstones.
Çiğdem Saydam Eker +6 more
wiley +1 more source
Modular analogs of character formulas and minimal lifts of modular forms
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley +1 more source
Squashed toric manifolds and higher depth mock modular forms
Squashed toric sigma models are a class of sigma models whose target space is a toric manifold in which the torus fibration is squashed away from the fixed points so as to produce a neck-like region.
Rajesh Kumar Gupta +2 more
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A higher rank shifted convolution problem with applications to L$L$‐functions
Abstract While several instances of shifted convolution problems for GL(3)×GL(2)${\rm GL}(3) \times {\rm GL}(2)$ have been solved, the case where one factor is the classical divisor function and one factor is a GL(3)${\rm GL}(3)$ Fourier coefficient has remained open. We solve this case in the present paper.
Valentin Blomer, Junxian Li
wiley +1 more source
Lefschetz decompositions of Kudla–Millson theta functions
Abstract In the 1980s 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 X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley +1 more source

