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pro vyhledávání: '"Maurischat, Kathrin"'
In their seminal paper, Lubotzky, Phillips and Sarnak (LPS) defined the notion of regular Ramanujan graphs and gave an explicit construction of infinite families of $(p+1)$-regular Ramanujan Cayley graphs, for infinitely many $p$. In this paper we ex
Externí odkaz:
http://arxiv.org/abs/2312.06507
Autor:
Kara, Yasemin, Kumari, Moni, Marzec, Jolanta, Maurischat, Kathrin, Mocanu, Andreea, Smajlović, Lejla
Let $\Gamma\subset \textrm{PSL}_2({\mathbb R})$ be a Fuchsian group of the first kind having a fundamental domain with a finite hyperbolic area, and let $\widetilde\Gamma$ be its cover in $\textrm{SL}_2({\mathbb R})$. Consider the space of twice cont
Externí odkaz:
http://arxiv.org/abs/2002.09061
Autor:
Maurischat, Kathrin
We define Sturm's operator on vector valued Siegel modular forms obtaining an explicit description of their holomorphic projection in case of large absolute weight. However, for small absolute weight, Sturm's operator produces phantom terms in additi
Externí odkaz:
http://arxiv.org/abs/1904.12463
Autor:
Maurischat, Kathrin, Weissauer, Rainer
We give several families of polynomials which are related by Eulerian summation operators. They satisfy interesting combinatorial properties like being integer-valued at integral points. This involves nearby-symmetries and a recursion for the values
Externí odkaz:
http://arxiv.org/abs/1807.11208
Autor:
Maurischat, Kathrin
We show that the special unitary group associated to an involution of the second kind on a central division algebra of degree three does not contain hermitian or skew-hermitian elements. Especially, there are no reflections. For Albert's special cycl
Externí odkaz:
http://arxiv.org/abs/1712.06821
Autor:
Maurischat, Kathrin
In contrast to the wellknown cases of large weights, Sturm's operator does not realize the holomorphic projection operator for lower weights. We prove its failure for arbitrary Siegel genus $m\geq 2$ and scalar weight $\kappa=m+1$. This generalizes a
Externí odkaz:
http://arxiv.org/abs/1609.05000
Autor:
Maurischat, Kathrin, Weissauer, Rainer
We show the analytic continuation of certain Siegel Poincar\'e series to their critical point for weight three in genus two. We proof that this continuation posesses a nonhomomorphic part and describe it. We show that Sturm's operator also produces a
Externí odkaz:
http://arxiv.org/abs/1605.01868
Autor:
Maurischat, Kathrin
Publikováno v:
J. Number Theory (2017)
We define non-holomorphic Poincar\'e series of exponential type for symplectic groups $\mathop{Sp}_m(\mathbb R)$ and continue them analytically in case $m=2$ for the small weight $(4,4)$. For this we construct certain Casimir operators and study the
Externí odkaz:
http://arxiv.org/abs/1602.08231
Autor:
Ballantine, Cristina, Feigon, Brooke, Ganapathy, Radhika, Kool, Janne, Maurischat, Kathrin, Wooding, Amy
We construct explicitly an infinite family of Ramanujan graphs which are bipartite and biregular. Our construction starts with the Bruhat-Tits building of an inner form of $SU_3(\mathbb Q_p)$. To make the graphs finite, we take successive quotients b
Externí odkaz:
http://arxiv.org/abs/1502.02739
Autor:
Maurischat, Kathrin
Publikováno v:
Int. J. Number Theory, Vol. 8, No. 4 (2012), 923-932
We give a full set of Casimir operators for the symplectic group of arbitrary genus in terms of a basis chosen such that the action on representations of known $K$-type becomes transparent. We give examples for the latter.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1011.4777