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Showing 1 to 6 of 6 for “"Modulform"”.
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Singuläre Modulformen und involutive Algebren
… Dissertation wird die Theorie der Siegelschen Modulformen, insbesondere die von E. Freitag in den LNM 1487 (Singular Modular Forms and Theta Relations) gewonnenen Resultate verallgemeinert. Ausgangspunkt der Arbeit ist eine endlich-dimensionale Algebra über den rationalen Zahlen, ausgestattet …
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Lineare Unabhängigkeit von Hermiteschen Modulformen
In the theory of modular forms it is desired to be able to validate the linear independance of modular forms by calculation. Normally, this is done by the calculation of the Fourier coefficients of the modular forms. In general, no exact bounds are known for the number of Fourier coefficients that …
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Hilbert modular forms for the fields Q( 5), Q( 13) and Q( 17)
More than a 100 years ago David Hilbert gave his drafts of a new type of functions of several complex variables to his student Ludwig Otto Blumenthal, who made them the foundation of his Habilschrift "Über Modulfunktionen von mehreren Veränderlichen". Hilbert had investigated both the theory of …
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Paramodular forms of degree 2 with particular emphasis on level t = 5
This PhD thesis deals with paramodular forms of degree 2 with arbitrary multiplier systems. The presented construction methods are Maaß lifts and Borcherds' products.The goal of this thesis was to determine the algebraic structure of the graded algebra of all paramodular forms of degree 2 with …
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On Hermitian theta series and modular forms
In their paper glqq Hermitian quadratic forms and Hermitian modular formsgrqq ~(1978) the authors D.M. Cohen und H.L. Resnikoff introduce the construction of Hermitian modular forms using theta series. One starts with lattices over imaginary quadratic fields, which are, when considered as …
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Modular forms for the orthogonal group O(2,5)
This thesis deals with modular forms for orthogonal groups of signature (2,n), n>2, with particular emphasis on the case n=5. First we determine suitable generators and the abelian characters of some orthogonal groups. Then we present a few methods for constructing orthogonal modular forms: by …