Modular forms with integral and half-integral weights

"Modular Forms with Integral and Half-Integral Weights" focuses on the fundamental theory of modular forms of one variable with integral and half-integral weights. The main theme of the book is the theory of Eisenstein series. It is a fundamental problem to construct a basis of the orthogo...

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Bibliografiska uppgifter
Huvudupphovsmän: Wang, Xueli, 19..-...., mathématicien, Pei, Dingyi, 1941 (Författare, medförfattare)
Materialtyp: Livre numérique
Språk:Anglais
Publicerad: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Upplaga:1st ed. 2012.
Länkar:Accès sur la plateforme de l'éditeur
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Anmärkning: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Modular Forms with Integral and Half-Integral Weights, Texte imprimé, 9783642293016
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245 1 0 |a Modular forms with integral and half-integral weights   |c by Xueli Wang, Dingyi Pei. 
250 |a 1st ed. 2012. 
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500 |a Archives Springer e-books (Licence nationale) 
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505 1 |a Theta Functions and Their Transformation Formulae Eisenstein Series The Modular Group and Its Subgroups Modular Forms with Integral Weight or Half-integral Weight Operators on the Space of Modular Forms New Forms and Old Forms.-Construction of Eisenstein Series Weil Representation and Shimura Lifting Trace Formula Integers Represented by Positive Definite Quadratic Forms 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a "Modular Forms with Integral and Half-Integral Weights" focuses on the fundamental theory of modular forms of one variable with integral and half-integral weights. The main theme of the book is the theory of Eisenstein series. It is a fundamental problem to construct a basis of the orthogonal complement of the space of cusp forms; as is well known, this space is spanned by Eisenstein series for any weight greater than or equal to 2. The book proves that the conclusion holds true for weight 3/2 by explicitly constructing a basis of the orthogonal complement of the space of cusp forms. The problem for weight 1/2, which was solved by Serre and Stark, will also be discussed in this book. The book provides readers not only basic knowledge on this topic but also a general survey of modern investigation methods of modular forms with integral and half-integral weights. It will be of significant interest to researchers and practitioners in modular forms of mathematics. Dr. Xueli Wang is a Professor at South China Normal University, China. Dingyi Pei is a Professor at Guangzhou University, China 
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