國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁 到查詢結果 [ subject:"Wave functions." ]

切換: 標籤 | MARC模式 | ISBD

On the theory of Maass wave forms

Muhlenbruch, Tobias.

On the theory of Maass wave forms

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	On the theory of Maass wave formsby Tobias Muhlenbruch, Wissam Raji.
作者:	Muhlenbruch, Tobias.
其他作者:	Raji, Wissam.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	xxv, 509 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Forms, Modular.
電子資源:	https://doi.org/10.1007/978-3-030-40475-8
ISBN:	9783030404758$q(electronic bk.)

On the theory of Maass wave forms
Muhlenbruch, Tobias.

On the theory of Maass wave forms[electronic resource] /by Tobias Muhlenbruch, Wissam Raji. - Cham :Springer International Publishing :2020. - xxv, 509 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

1. A Brief Introduction to Modular Forms -- 2. Period Polynomials -- 3. Maass Wave Forms of Real Weight -- 4. Families of Maass Cusp Forms, L-Series and Eichler Integrals -- 5. Period Functions -- 6. Continued Fractions and the Transfer Operator Approach -- 7. Weak Harmonic Maass Wave Forms -- A. Background Material -- References -- Symbol Index -- Index.

This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers will find this unified presentation invaluable, as it treats Maass wave forms as the central area of interest. Subjects at the cutting edge of research are explored in depth, such as Maass wave forms of real weight and the cohomology attached to Maass wave forms and transfer operators. Because Maass wave forms are given a deep exploration, this book offers an indispensable resource for those entering the field. Early chapters present a brief introduction to the theory of classical modular forms, with an emphasis on objects and results necessary to fully understand later material. Chapters 4 and 5 contain the book's main focus: L-functions and period functions associated with families of Maass wave forms. Other topics include Maass wave forms of real weight, Maass cusp forms, and weak harmonic Maass wave forms. Engaging exercises appear throughout the book, with solutions available online. On the Theory of Maass Wave Forms is ideal for graduate students and researchers entering the area. Readers in mathematical physics and other related disciplines will find this a useful reference as well. Knowledge of complex analysis, real analysis, and abstract algebra is required.

ISBN: 9783030404758$q(electronic bk.)

Standard No.: 10.1007/978-3-030-40475-8doiSubjects--Topical Terms:

272963
Forms, Modular.

LC Class. No.: QA243 / .M865 2020

Dewey Class. No.: 512.73

On the theory of Maass wave forms
LDR:02588nmm a2200337 a 4500 001 579836
003 DE-He213
005 20201007134202.0
006 m
007 cr
008 201229s2020
020 $a 9783030404758$q(electronic bk.)
020 $a 9783030404772$q(paper)
024 7 $a 10.1007/978-3-030-40475-8 $2 doi
035 $a 978-3-030-40475-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA243 $b .M865 2020
072 7 $a PBH $2 bicssc
072 7 $a MAT022000 $2 bisacsh
072 7 $a PBH $2 thema
082 0 4 $a 512.73 $2 23
090 $a QA243 $b .M952 2020
100 1 $a Muhlenbruch, Tobias. $3 869325
245 1 0 $a On the theory of Maass wave forms $h [electronic resource] / $c by Tobias Muhlenbruch, Wissam Raji.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xxv, 509 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
505 0 $a 1. A Brief Introduction to Modular Forms -- 2. Period Polynomials -- 3. Maass Wave Forms of Real Weight -- 4. Families of Maass Cusp Forms, L-Series and Eichler Integrals -- 5. Period Functions -- 6. Continued Fractions and the Transfer Operator Approach -- 7. Weak Harmonic Maass Wave Forms -- A. Background Material -- References -- Symbol Index -- Index.
520 $a This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers will find this unified presentation invaluable, as it treats Maass wave forms as the central area of interest. Subjects at the cutting edge of research are explored in depth, such as Maass wave forms of real weight and the cohomology attached to Maass wave forms and transfer operators. Because Maass wave forms are given a deep exploration, this book offers an indispensable resource for those entering the field. Early chapters present a brief introduction to the theory of classical modular forms, with an emphasis on objects and results necessary to fully understand later material. Chapters 4 and 5 contain the book's main focus: L-functions and period functions associated with families of Maass wave forms. Other topics include Maass wave forms of real weight, Maass cusp forms, and weak harmonic Maass wave forms. Engaging exercises appear throughout the book, with solutions available online. On the Theory of Maass Wave Forms is ideal for graduate students and researchers entering the area. Readers in mathematical physics and other related disciplines will find this a useful reference as well. Knowledge of complex analysis, real analysis, and abstract algebra is required.
650 0 $a Forms, Modular. $3 272963
650 0 $a Wave functions. $3 247531
650 1 4 $a Number Theory. $3 274059
700 1 $a Raji, Wissam. $3 869326
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Universitext. $3 558272
856 4 0 $u https://doi.org/10.1007/978-3-030-40475-8
950 $a Mathematics and Statistics (Springer-11649)