| Title | : | Eta Products and Theta Series Identities (Springer Monographs in Mathematics) |
| Author | : | Günter Köhler |
| Language | : | en |
| Rating | : | 4.90 out of 5 stars |
| Type | : | PDF, ePub, Kindle |
| Uploaded | : | Apr 03, 2021 |
Download Eta Products and Theta Series Identities (Springer Monographs in Mathematics) - Günter Köhler | ePub
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Cite bibtex; full citation publisher: springer berlin heidelberg.
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This monograph deals with products of dedekind's eta function, with hecke theta series on quadratic number fields, and with eisenstein series.
Eta products and theta series identities by koehler gunter from flipkart.
Toregister here to get book file pdf eta products and theta series identities image not found or type unknown due to copyright issue, you must read eta products and theta series identities online. You can read eta products and theta series identities online using button below.
Remarks on the theta decomposition of vector-valued jacobi forms. Number it computes the q-series of an eta product and tries to identify an eta product.
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The jacobi triple product identity gives a closed form for many infinite product generating functions that arise naturally in combinatorics and number theory.
9 jan 2012 this monograph deals with products of dedekind's eta function, with hecke theta series on quadratic number fields, and with eisenstein series.
Springer, this monograph deals with products of dedekind's eta function, with hecke theta series on quadratic number fields, and with eisenstein series. The author brings to the public the large number of identities that have been discovered over the past 20 years, the majority of which have not been published elsewhere.
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$\begingroup$ i don't disagree with anything you write, but note that (1) when discussing elliptic functions, 1917 is very modern; (2) you can understand such identities without knowing the modular transformation laws for eta products.
Eta products and theta series identities (springer monographs in mathematics) - kindle edition by köhler, günter. Download it once and read it on your kindle device, pc, phones or tablets. Use features like bookmarks, note taking and highlighting while reading eta products and theta series identities (springer monographs in mathematics).
In this paper, we give a certain identity between an $\eta$-product of weight 1 and theta series associated with a pair of binary quadratic forms. We also have explicit description of siegel's theorem by an $\eta$-product.
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28 sep 2018 two eisenstein series, this package is the first which can compute fourier eigenforms, and compute general petersson scalar products. Polynomial), eta quotients, or forms coming from natural l-functions whose gamma.
Isbn 9783642161513 - get free shipping offers and dollar off coupons with our price comparison for eta products and theta series identities springer monographs in mathematics - isbn 9783642161513, 3642161510.
In this paper, we show that some single theta series of positive definite binary quadratic forms can be expressed in terms of eta-quotients. We also give two applications of our theorem as follows; (1) to prove that a certain modular form, which is a product of theta series and eta-product, has complex multiplication, (2) an explicit description for the image of under the hecke operator.
Eta products and theta series identities presents to the public the large number of identities which were found during the past 20 years the majority of these identities are new and unpublished elsewhere includes more than a hundred examples for the coincidence of theta series of weight 1 on three.
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Gûnter for im(z) 0 the dedekind /-function is defined by the product formula.
Another particular case, namely products of powers of the jacobi theta function and dedekind eta function, was treated in this paper by hecke himself. Kimball's suggestion, i used this lmfdb online tool to check the theta series of all even integral lattices with one class per genus.
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This monograph deals with products of dedekind's eta function, with hecke theta series on quadratic number fields, and with eisenstein series. The author brings to the public the large number of identities that have been discovered over the past 20 years, the majority of which have not been published elsewhere.
8 dec 2010 this monograph deals with products of dedekind's eta function, with hecke theta series on quadratic number fields, and with eisenstein series.
(some authors omit the factor of (2π) 12, so that the series expansion has integral coefficients). The jacobi triple product implies that the eta is (up to a factor) a jacobi theta function for special values of the arguments:.
Interest is its application to dedekind's eta-function η(z), defined via an infinite product, giving it as a certain kind of infinite sum known as a theta function.
Eta products and theta series identities by k hler g nter from flipkart.
6 jan 2017 eisenstein series and eta quotients to deal with some number theoretic cu- riosities.
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