Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Marzec, Jolanta"'
Autor:
Bouganis, Thanasis, Marzec, Jolanta
In this work we obtain algebraicity results on special $L$-values attached to Siegel-Jacobi modular forms. Our method relies on a generalization of the doubling method to the Jacobi group obtained in our previous work, and on introducing a notion of
Externí odkaz:
http://arxiv.org/abs/2005.10282
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:
Marzec, Jolanta
In this work, we make a detailed study of the Fourier coefficients of cuspidal Siegel modular forms of degree 2. We derive a very general relation between the Fourier coefficients that extends previous work in this direction by Andrianov, Kowalski-Sa
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.702462
Autor:
Marzec, Jolanta
It is known that among Siegel modular forms of degree $2$ and level $1$ the only functions that violate the Ramanujan conjecture are Saito-Kurokawa lifts of modular forms of level $1$. These are precisely the functions whose Fourier coefficients sati
Externí odkaz:
http://arxiv.org/abs/1811.12854
Autor:
Bouganis, Thanasis, Marzec, Jolanta
In this work we study the analytic properties of the standard L-function attached to Siegel-Jacobi modular forms of higher index, generalizing previous results of Arakawa and Murase. Furthermore, we obtain algebraicity results on special L-values in
Externí odkaz:
http://arxiv.org/abs/1706.07287
Autor:
Marzec, Jolanta
We prove that paramodular newforms of odd square-free level have infinitely many non-zero fundamental Fourier coefficients.
Comment: 12 pages, corrected a mistake in the proof on the last page and a few typos, to appear in J. Number Theory
Comment: 12 pages, corrected a mistake in the proof on the last page and a few typos, to appear in J. Number Theory
Externí odkaz:
http://arxiv.org/abs/1607.03007
Publikováno v:
Proceedings: Biological Sciences, 2010 Jul 01. 277(1690), 2001-2006.
Externí odkaz:
https://www.jstor.org/stable/25706413
Autor:
Bouganis, Thanasis, Marzec, Jolanta
Publikováno v:
Documenta Mathematica, 2019, Vol.24, pp.2613-2684 [Peer Reviewed Journal]
In this work we study the analytic properties of the standard $L$-function attached to Siegel-Jacobi modular forms of higher index, generalizing previous results of Arakawa and Murase. Moreover, we obtain results on the analytic properties of Klingen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55ed5268434183245953584da79838d4
https://doi.org/10.4171/dm/735
https://doi.org/10.4171/dm/735
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