عنوان
پدید آورنده
موضوع
رده
QA343
QA343
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3030044793
(Number (ISBN
3030044807
(Number (ISBN
3030044815
(Number (ISBN
9783030044794
(Number (ISBN
9783030044800
(Number (ISBN
9783030044817
Erroneous ISBN
9783030044794
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Elliptic integrals, elliptic functions and modular forms in quantum field theory /
General Material Designation
[Book]
First Statement of Responsibility
Johannes Blümlein, Carsten Schneider, Peter Paule, editors.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
2019.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xiii, 509 pages) :
Other Physical Details
illustrations (some color)
SERIES
Series Title
Texts & monographs in symbolic computation,
ISSN of Series
0943-853X
CONTENTS NOTE
Text of Note
Intro; Preface; Contents; Contributors; Eta Quotients and Rademacher Sums; 1 Introduction; 2 Eta Quotients in Quantum Field Theory; 2.1 Atkin-Lehner Transformations of Eta Quotients; 2.2 Eichler Integrals of Eta Quotients for On-Shell Sunrise Integrals; 2.3 Eichler Integrals for Quasi-periods at Level 6; 3 Rademacher Sums for Fourier Coefficients of Eta Quotients; 3.1 Genus 0; 3.2 Further Examples of Integer Sequences; 3.3 Genus 1; 3.4 Rational Rademacher Sums; 3.5 Genus 2; 3.6 Genus 3; 3.7 Genus 4; 3.8 Genus 5; 3.9 Genus 6; 3.10 Genus 7; 3.11 Genus 8; 3.12 Genus 13; 3.13 Remarks
Text of Note
4 ConclusionsReferences; On a Class of Feynman Integrals Evaluating to Iterated Integrals of Modular Forms; 1 Introduction; 2 Periodic Functions and Periods; 3 Elliptic Curves; 4 Modular Forms; 5 Iterated Integrals; 6 Precision Calculations; 7 Picard-Fuchs Operators; 8 Feynman Integrals Evaluating to Iterated Integrals of Modular Forms; 9 Conclusions; References; Iterative Non-iterative Integrals in Quantum Field Theory; 1 Introduction; 2 Second-Order Differential Equations and 2F1 Solutions; 3 Iterative Non-iterative Integrals; 4 Numerical Representation
0
8
SUMMARY OR ABSTRACT
Text of Note
This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783030044800
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9783030044794
International Standard Book Number
9783030044817
TOPICAL NAME USED AS SUBJECT
Elliptic functions.
Forms, Modular.
Quantum field theory.
Mathematical Physics.
Quantum Field Theories, String Theory.
Symbolic and Algebraic Manipulation.
Elliptic functions.
Forms, Modular.
Quantum field theory.
(SUBJECT CATEGORY (Provisional
COM018000
UYAM
UYAM
DEWEY DECIMAL CLASSIFICATION
Number
515/
.
983
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA343
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Blümlein, J., (Johannes)
Paule, Peter
Schneider, Carsten
ORIGINATING SOURCE
Date of Transaction
20200823080607.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
