Holomorphic automorphic forms and cohomology

QR Code

Holomorphic automorphic forms and cohomology

We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least 2 this correspondence is given by the Eichler integral. We use Knopp’s generalization of this integral to real weights, and apply...

Full description

Bibliographic Details
Main Authors:	Bruggeman, Roelof, Choie, YoungJu, Diamantis, Nikolaos
Format:	Article
Language:	English
Published:	American Mathematical Society 2018
Online Access:	https://eprints.nottingham.ac.uk/41245/

Similar Items

Higher-order Maass forms
by: Bruggeman, Roelof, et al.
Published: (2012)

Automorphic forms of higher order
by: Deitmar, Anton, et al.
Published: (2009)

Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition
by: Bruggeman, Roelof, et al.
Published: (2016)

The dimensions of spaces of holomorphic second-order cusp forms with characters
by: Blann, Thomas
Published: (2012)

Separating invariants and local cohomology
by: Dufresne, Emilie, et al.
Published: (2015)

Holomorphic Factorization of Determinants of Laplacians using Quasi-Fuchsian Uniformization
by: Mcintyre, Andrew, et al.
Published: (2008)

Petit algebras and their automorphisms
by: Brown, Christian
Published: (2018)

The automorphisms of Petit's algebras
by: Brown, C., et al.
Published: (2017)

A new multiple Dirichlet series induced by a higher-order form
by: Diamantis, Nikolaos, et al.
Published: (2010)

Cohomological approach to classify nilpotent Leibniz algebras.
by: Rakhimov , I.S., et al.
Published: (2012)

A cohomological approach for classifying nilpotent Leibniz algebras
by: Rakhimov , Isamiddin Sattarovich, et al.
Published: (2010)

Cohomology spaces of low dimensional complex associative algebras
by: Mohammed, Nadia F., et al.
Published: (2017)

Differential cohomology and locally covariant quantum field theory
by: Becker, Christian, et al.
Published: (2017)

Vanishing of some Galois cohomology groups for elliptic curves
by: Lawson, Tyler, et al.
Published: (2016)

A correspondence of modular forms and applications to values of L-series
by: Diamantis, Nikolaos, et al.
Published: (2015)

Automorphisms of finite cyclic 3-groups
by: Fatin Hanani, Hasan, et al.
Published: (2024)

Automorphisms of Fuchsian Groups of Genus Zero
by: Md Tap, Abu Osman
Published: (1988)

Automorphisms of Surface Groups of Genus Two
by: Abu Osman, M.T
Published: (1988)

Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions
by: Bringmann, Kathrin, et al.
Published: (2013)

Ergodic properties of bogoliubov automorphisms in free probability
by: Fidaleo, Francesco, et al.
Published: (2010)

Generalized derivations and automorphisms of some classes of algebras
by: Adamu, Abdulkadir
Published: (2019)

The automorphism groups and derivation algebras of two-dimensional algebras
by: Houida, Ahmed, et al.
Published: (2018)

Products of Eisenstein series, their L-functions, and Eichler cohomology for arbitrary real weights
by: Neururer, Michael
Published: (2016)

Finite cyclic q-group’s automorphisms with qr-generator
by: Fatin Hanani, Hasan, et al.
Published: (2024)

Mapping spaces and automorphism groups of toric noncommutative spaces
by: Barnes, Gwendolyn E., et al.
Published: (2017)

A description of an automorphism of a split metacyclic p-group
by: Idham Arif Alias,
Published: (2010)

A description of an automorphism of a split metacyclic p-group
by: Alias, Idham Arif
Published: (2010)

A matrix representation of an automorphism of a metacyclic P-group
by: Alias, Idham Arif, et al.
Published: (2009)

A description of an automorphism of a non-split metacyclic p-group
by: Alias, Idham Arif
Published: (2011)

Period polynomials, derivatives of L-functions, and zeros of polynomials
by: Diamantis, Nikolaos, et al.
Published: (2018)

A converse theorem for double Dirichlet series and Shintani zeta functions
by: Diamantis, Nikolaos, et al.
Published: (2014)

Period polynomials, derivatives of L-functions, and zeros of polynomials
by: Diamantis, Nikolaos, et al.
Published: (2017)

Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings
by: Brown, Christian, et al.
Published: (2018)

Kernels for products of L-functions
by: Diamantis, Nikolaos, et al.
Published: (2013)

Regularized inner products and errors of modularity
by: Bringmann, Kathrin, et al.
Published: (2017)

Form to Behaviour: Rethinking Group Form
by: Smolik, Andrei
Published: (2021)

The Number Poems: Forms of Construction, Constructions of Form
by: Welton, Matthew
Published: (2021)

The Impact of Culture, Prior Commitment and Anchoring Effect on preferences for Loyalty Programs
by: Zizos, Nikolaos
Published: (2013)

Buyer-Supplier Relationships: An Examination of How a Small-Medium Supplier can Cooperate Effectively with a Large Buyer
by: Kritsilis, Nikolaos
Published: (2013)

Home based formulation of personalised medicines by means of inkjet printing technique
by: Scoutaris, Nikolaos
Published: (2011)