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Titlebook: Automorphic Forms; Research in Number T Bernhard Heim,Mehiddin Al-Baali,Florian Rupp Conference proceedings 2014 Springer International Pub

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发表于 2025-3-21 19:19:08 | 显示全部楼层 |阅读模式
期刊全称Automorphic Forms
期刊简称Research in Number T
影响因子2023Bernhard Heim,Mehiddin Al-Baali,Florian Rupp
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发行地址Presents research on number theory and automorphic forms presented at the Inaugural Conference on Modern Number Theory and Its Applications at German University of Technology in Oman in February 2012.
学科分类Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Automorphic Forms; Research in Number T Bernhard Heim,Mehiddin Al-Baali,Florian Rupp Conference proceedings 2014 Springer International Pub
影响因子.This edited volume presents a collection of carefully refereed articles covering the latest advances in Automorphic Forms and Number Theory, that were primarily developed from presentations given at the 2012 “International Conference on Automorphic Forms and Number Theory,” held in Muscat, Sultanate of Oman. The present volume includes original research as well as some surveys and outlines of research altogether providing a contemporary snapshot on the latest activities in the field and covering the topics of:.Borcherds products.Congruences and Codes.Jacobi forms.Siegel and Hermitian modular forms.Special values of L-series.Recently, the Sultanate of Oman became a member of the International Mathematical Society. In view of this development, the conference provided the platform for scientific exchange and collaboration between scientists of different countries from all over the world. In particular, an opportunity was established for a close exchange between scientists and students of Germany, Oman, and Japan. The conference was hosted by the Sultan Qaboos University and the German University of Technology in Oman..
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On the Genus Version of the Basis Problem II: The Case of Oldforms,e of the present paper is to complete the result of Waldspurger and others by a precise description, which cusp forms beyond the newforms are linear combinations of theta series attached to lattices in a given genus. Due to Siegel’s theorem it is reasonable to restrict attention to cusp forms. The a
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On Formal Series of Jacobi Forms and Borcherds Products,iegel modular forms, these Jacobi forms have a kind of symmetry. In this paper, we give one conjecture on the Fourier-Jacobi expansion that is true for Siegel modular forms with small levels. Our conjecture is useful to show the convergence of Maass lifts and Borcherds products.
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On ,-Adic Properties of Siegel Modular Forms,s of our results are also valid for vector-valued modular forms. In our approach to .-adic Siegel modular forms we follow Serre [18] closely; his proofs however do not generalize to the Siegel case or need some modifications.
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Restrictions of Jacobi Forms of Several Variables,special cases . = .. and .. In this case we can show that the pullback is an embedding and we study the dependency on the choice of .. Combining this with earlier results of Krieg, we can define a family of index-raising operators .. → .. for all ., which interpolate the operators . defined by Eichl
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