Zobrazeno 1 - 10
of 901 543
pro vyhledávání: '"P forms"'
Autor:
Kamat, Rudra R., Mishra, Hemant K.
A fundamental result in symplectic linear algebra states that for a given positive semi-definite quadratic form on a symplectic space there exists a symplectic in which the quadratic form reduces to a normal form. The special case of the aforemention
Externí odkaz:
http://arxiv.org/abs/2412.01492
Publikováno v:
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze. 22 (1): 287-304, 2021
Differential $p$-forms and $q$-vector fields with constant coefficients are studied. Differential $p$-forms of degrees $p=1,2,n-1,n$ with constant coefficients on a smooth $n$-dimensional manifold $M$ are characterized. In the contravariant case, the
Externí odkaz:
http://arxiv.org/abs/2412.15771
Autor:
Nadarajan, Vignesh Arumugam
In this article, we consider the problem of estimating the correlation of Hecke eigenvalues of GL2 automorphic forms with a class of functions of algebraic origin defined over finite fields called trace functions. The class of trace functions is vast
Externí odkaz:
http://arxiv.org/abs/2412.15722
Autor:
Wolff, Golo
We consider cubic forms $\phi_{a,b}(x,y,z) = ax^3 + by^3 - z^3$ with coefficients $a,b \in \mathbb{Z}$. We give an asymptotic formula for how many of these forms are locally soluble everywhere, i.e. we give an asymptotic formula for the number of pai
Externí odkaz:
http://arxiv.org/abs/2412.14980
Autor:
Oh, Byeong-Kweon, Yoon, Jongheun
Let $F$ be a local field and let $R$ be its ring of integers. For a positive integer $n$, an integral quadratic form defined over $R$ is called primitively $n$-universal if it primitively represents all quadratic forms of rank $n$. It was proved in a
Externí odkaz:
http://arxiv.org/abs/2412.14709
In this article, we derive estimates of Teichm\"uller modular forms, and associated invariants. Let $\mathcal{M}_{g}$ denote the moduli space of compact hyperbolic Riemann surfaces of genus $g\geq 2$, and let $\overline{M}_{g}$ be the Deligne-Mumford
Externí odkaz:
http://arxiv.org/abs/2412.13997
Autor:
Tajima, Ryota
For a normalized newform $g \in S_{k}(\Gamma_{0}(N))$ with complex multiplication by an imaginary quadratic field $K$, there is a mock modular form $F^{+}$ corresponding to $g$. K. Bringmann et al. modified $F^{+}$ in order to obtain a $p$-adic modul
Externí odkaz:
http://arxiv.org/abs/2412.12811
Autor:
Li, Liping, Ying, Jiangang
The primary aim of this article is to investigate the domination relationship between two $L^2$-semigroups using probabilistic methods. According to Ouhabaz's domination criterion, the domination of semigroups can be transformed into relationships in
Externí odkaz:
http://arxiv.org/abs/2412.08886
Autor:
Takeda, Nobuki
We give the pullback formula for vector-valued Hermitian modular forms on CM field. We also give the equivalent condition for a differential operator on Hermitian modular forms to preserve the automorphic properties.
Externí odkaz:
http://arxiv.org/abs/2412.06532
Autor:
Rosen, Esme
We examine the families of hypergeometric series associated to a special class of modular hypergeometric Galois representations recently studied by Allen, Grove, Long, and Tu. The underlying motives allow us to express a special $L$-value of the corr
Externí odkaz:
http://arxiv.org/abs/2412.07054