Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Zemel, Shaul"'
Autor:
Zemel, Shaul
Many interesting families of polynomials are indexed by permutations or related objects, and are defined by applying divided difference operators, modified by polynomials, on some initial base case. The fact that these constructions produce well-defi
Externí odkaz:
http://arxiv.org/abs/2404.19395
We consider the generating series of appropriately completed 0-dimensional special cycles on a toroidal compactification of an orthogonal or unitary Shimura variety with values in the Chow group. We prove that it is a holomorphic Siegel, respectively
Externí odkaz:
http://arxiv.org/abs/2404.06254
Autor:
Zemel, Shaul
We develop the theory of Hermitian Jacobi forms of lattice index, for both definite and indefinite Hermitian lattices. We also prove a theta decomposition theorem for vector-valued Jacobi forms (both in the orthogonal and Hermitian settings), with en
Externí odkaz:
http://arxiv.org/abs/2310.16508
Autor:
Zemel, Shaul
A symmetric function of $N$ variables can be given in terms of symmetric polynomials of these variables. We determine those symmetric polynomials in which the dual differential operators take the neatest form when expressed in terms of our original v
Externí odkaz:
http://arxiv.org/abs/2302.00549
Autor:
Zemel, Shaul
We consider a scalar-valued implicit function of many variables, and provide two closed formulae for all of its partial derivatives. One formula is based on products of partial derivatives of the defining function, the other one involves less product
Externí odkaz:
http://arxiv.org/abs/2212.10172
Autor:
Zemel, Shaul
The Vahlen group gives a way for presenting the hyperbolic space of every dimension of a group acting via M\"{o}bius transformations. As Vahlen groups and paravector Vahlen groups are now defined over any field of characteristic different from 2, we
Externí odkaz:
http://arxiv.org/abs/2201.00054
Autor:
Zemel, Shaul
We consider the Clifford algebra and the Clifford group associated with any quadratic module, degenerate or not, over an arbitrary commutative ring with 1. We determine some of the important subalgebras of the Clifford algebra under some conditions,
Externí odkaz:
http://arxiv.org/abs/2112.05046
Autor:
Zemel, Shaul
We show that the Weil representation associated with any discriminant form admits a basis in which the action of the representation involves algebraic integers. The action of a general element of $\operatorname{SL}_{2}(\mathbb{Z})$ on many parts of t
Externí odkaz:
http://arxiv.org/abs/2106.03247
Autor:
Li, Yingkun, Zemel, Shaul
In this paper, we compute the Fourier expansion of the Shintani lift of nearly holomorphic modular forms. As an application, we deduce modularity properties of generating series of cycle integrals of nearly holomorphic modular forms.
Comment: 45
Comment: 45
Externí odkaz:
http://arxiv.org/abs/2012.08280
Autor:
Zemel, Shaul
Publikováno v:
Res. Number Theory, vol 7 paper 58 (2021)
We define Jacobi forms of indefinite lattice index, and show that they are isomorphic to vector-valued modular forms also in this setting. We also consider several operations of the two types of objects, and obtain an interesting bilinear map between
Externí odkaz:
http://arxiv.org/abs/2009.11400