Synopsis
The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL ( ) to be a holomorphic function 2 (JC = upper half-plane) satisfying the t\-10 transformation eouations 2Tiimcz- k CT ]d a-r +b z ) (1) ( (cT+d) e cp(T, z) cp CT +d ' CT +d (2) rjl(T, z+h+]l) and having a Four-ier expansion of the form 00 e2Tii(nT +rz) (3) cp(T, z) 2: c(n, r) 2:: rE n=O 2 r 4nm Here k and m are natural numbers, called the weight and index of rp, respectively. Note that th e function cp (T, 0) is an ordinary modular formofweight k, whileforfixed T thefunction z-+rjl(-r, z) isa function of the type normally used to embed the elliptic curve / T + into a projective space. If m= 0, then cp is independent of z and the definition reduces to the usual notion of modular forms in one variable. We give three other examples of situations where functions satisfying (1)-(3) arise classically: 1. Theta series. Let Q: -+ be a positive definite integer valued quadratic form and B the associated bilinear form.
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for The Theory of Jacobi Forms (Progress in Mathematics)
Stock Image
The Theory of Jacobi Forms (Progress in Mathematics)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar2716030070006
Stock Image
The Theory of Jacobi Forms (Progress in Mathematics)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9781468491647_new
Buy New
US$ 141.10
Shipping:
US$ 15.76
From United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
The Theory of Jacobi Forms
Published by
Birkhäuser Boston Sep 2013, 2013
ISBN 10: 1468491644
ISBN 13: 9781468491647
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL (~) to be a holomorphic function 2 (JC = upper half-plane) satisfying the t-10 transformation eouations 2Tiimcz k CT +d a-r +b z ) (1) ( (cT+d) e cp(T,z) cp CT +d ' CT +d (2) rjl(T, z+h+]l) and having a Four ier expansion of the form 00 e2Tii(nT +rz) (3) cp(T,z) 2: c(n,r) 2:: rE~ n=O 2 r ~ 4nm Here k and m are natural numbers, called the weight and index of rp, respectively. Note that th e function cp (T, 0) is an ordinary modular formofweight k, whileforfixed T thefunction z-+rjl(-r,z) isa function of the type normally used to embed the elliptic curve ~/~T + ~ into a projective space. If m= 0, then cp is independent of z and the definition reduces to the usual notion of modular forms in one variable. We give three other examples of situations where functions satisfying (1)-(3) arise classically: 1. Theta series. Let Q: ~-+ ~ be a positive definite integer valued quadratic form and B the associated bilinear form. 160 pp. Englisch. Seller Inventory # 9781468491647
Seller Image
The Theory of Jacobi Forms
Print on DemandSeller: moluna, Greven, Germany
Seller rating 4 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL (~) to be a holomorphic function 2 (JC = upper half-plane) satisfying the t-10 transformation eouat. Seller Inventory # 4205256
Buy New
US$ 130.87
Shipping:
US$ 56.68
From Germany to U.S.A.
Quantity: Over 20 available
Stock Image
The Theory of Jacobi Forms
Published by
Birkhauser Boston Inc, 2013
ISBN 10: 1468491644
ISBN 13: 9781468491647
New
Paperback / softback
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 316. Seller Inventory # C9781468491647
Buy New
US$ 171.72
Shipping:
US$ 18.30
From United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
The Theory of Jacobi Forms
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. 160. Seller Inventory # 26359119658
Stock Image
The Theory of Jacobi Forms
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: New. 2013. Paperback. . . . . . Seller Inventory # V9781468491647
Stock Image
The Theory of Jacobi Forms
Print on DemandSeller: Majestic Books, Hounslow, United Kingdom
Seller rating 4 out of 5 stars
Condition: New. Print on Demand pp. 160 66:B&W 7 x 10 in or 254 x 178 mm Perfect Bound on White w/Gloss Lam. Seller Inventory # 353371381
Buy New
US$ 200.58
Shipping:
US$ 8.55
From United Kingdom to U.S.A.
Quantity: 4 available
Seller Image
The Theory of Jacobi Forms
Seller: preigu, Osnabrück, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. The Theory of Jacobi Forms | Don Zagier (u. a.) | Taschenbuch | v | Englisch | 2013 | Birkhäuser | EAN 9781468491647 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 105124610
Stock Image
The Theory of Jacobi Forms (Progress in Mathematics)
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. 155 pages. 9.75x7.00x0.50 inches. In Stock. Seller Inventory # x-1468491644
Buy New
US$ 207.24
Shipping:
US$ 13.16
From United Kingdom to U.S.A.
Quantity: 2 available