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pro vyhledávání: '"Local zeta functions"'
Autor:
Harinck, Pascale, Rubenthaler, Hubert
In this paper we study the zeta functions associated to the minimal spherical principal series of representations for a class of reductive p-adic symmetric spaces, which are realized as open orbits of some prehomogeneous spaces. These symmetric space
Externí odkaz:
http://arxiv.org/abs/2407.06667
The deformation approach of arXiv:2104.07816 for computing zeta functions of one-parameter Calabi-Yau threefolds is generalised to cover also multiparameter manifolds. Consideration of the multiparameter case requires the development of an improved f
Externí odkaz:
http://arxiv.org/abs/2405.08067
Akademický článek
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Autor:
Salch, A.
Begin with the Hasse-Weil zeta-function of a smooth projective variety over the rational numbers. Replace the variety with a finite CW-complex, replace etale cohomology with complex K-theory $KU^*$, and replace the $p$-Frobenius operator with the $p$
Externí odkaz:
http://arxiv.org/abs/2308.01805
Autor:
Oshita, Kazuki, Tsuzuki, Masao
We introduce a local zeta-function for an irreducible admissible supercuspidal representation $\pi$ of the metaplectic double cover of $\SL_2$ over a non-archimedean local field of characteristic zero. We prove a functional equation of the local zeta
Externí odkaz:
http://arxiv.org/abs/2305.16537
Autor:
Kamimoto, Joe
Publikováno v:
Journal of Functional Analysis, Volume 286, Issue 1, 1 January 2024, 110-185
In this paper, we attempt to resolve the singularities of the zero variety of a $C^{\infty}$ function of two variables as much as possible by using ordinary blowings up. As a result, we formulate an algorithm to locally express the zero variety in th
Externí odkaz:
http://arxiv.org/abs/2209.05657
Autor:
Oshita, Kazuki, Tsuzuki, Masao
Publikováno v:
In Journal of Number Theory June 2024 259:57-81
Autor:
Nose, Toshihiro
It is known that local zeta functions associated with real analytic functions can be analytically continued as meromorphic functions to the hole complex plane. In this paper, certain cases of specific (non-real analytic) smooth functions are precisel
Externí odkaz:
http://arxiv.org/abs/2206.10246