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pro vyhledávání: '"Walling, Lynne H"'
Autor:
Walling, Lynne H.
We find nice representatives for the 0-dimensional cusps of the degree $n$ Siegel upper half-space under the action of $\Gamma_0(\stufe)$. To each of these we attach a Siegel Eisenstein series, and then we make explicit a result of Siegel, realizing
Externí odkaz:
http://arxiv.org/abs/1702.06494
Autor:
Walling, Lynne H.
We extend some recent work of D. McCarthy, proving relations among some Fourier coefficients of a degree 2 Siegel modular form $F$ with arbitrary level and character, provided there are some primes $q$ so that $F$ is an eigenform for the Hecke operat
Externí odkaz:
http://arxiv.org/abs/1608.00158
Autor:
Walling, Lynne H.
We construct a basis for the space of half-integral weight Siegel Eisenstein series of level 4N where N is odd and square-free. Then we restrict our attention to those Eisenstein series generated from elements of $\Gamma_0(4)$, commenting on why this
Externí odkaz:
http://arxiv.org/abs/1605.09292
Autor:
Walling, Lynne H.
We evaluate the action of Hecke operators on Siegel Eisenstein series of arbitrary degree, level and character. For square-free level, we simultaneously diagonalise the space with respect to all the Hecke operators, computing the eigenvalues explicit
Externí odkaz:
http://arxiv.org/abs/1412.4588
Autor:
Walling, Lynne H.
It is known that average Siegel theta series lie in the space of Siegel Eisenstein series. Also, every lattice equipped with an even integral quadratic form lies in a maximal lattice. Here we consider average Siegel theta series of degree 2 attached
Externí odkaz:
http://arxiv.org/abs/1110.6346
Autor:
Walling, Lynne H.
We introduce an alternate set of generators for the Hecka algebra, and give an explicit formula for the action of these operators on Fourier coefficients. With this, we compute the eigenvalues of Hecke operators acting on average Siegel theta series
Externí odkaz:
http://arxiv.org/abs/1110.6351
Autor:
Walling, Lynne H.
We evaluate the action of Hecke operators on Siegel Eisenstein series of degree 2, square-free level and arbitrary character, without using knowledge of their Fourier coefficients. From this we construct a basis of simultaneous eigenforms for the ful
Externí odkaz:
http://arxiv.org/abs/1110.2797
Autor:
Walling, Lynne H.
We present an explicit set of matrices giving the action of the Hecke operators $T(p)$, $T_j(p^2)$ on Siegel modular forms.
Externí odkaz:
http://arxiv.org/abs/0711.1747
Autor:
Caulk, Suzanne, Walling, Lynne H.
We define Hilbert-Siegel modular forms and Hecke "operators" acting on them. As with Hilbert modular forms, these linear transformations are not linear operators until we consider a direct product of spaces of modular forms (with varying groups), mod
Externí odkaz:
http://arxiv.org/abs/0710.4224
Autor:
Walling, Lynne H.
Given a Siegel theta series and a prime p not dividing the level of the theta series, we apply to the theta series the n+1 Hecke operators that generate the local Hecke algebra at p. We show that the average theta series is an eigenform and we comput
Externí odkaz:
http://arxiv.org/abs/0710.4222