Letters in mathematical physics, ISSN 1573-0530, 2018, Volume 108, Issue 12, pp. 2627 - 2633

...Lett Math Phys (2018) 108:2627–2633
https://doi.org/10.1007/s11005-018-1085-9
A generating function for Rankin–Cohen brackets
Michael Pevzner 1,2
Received: 26...

Geometry | Deformation quantization | Rankin–Cohen brackets | 53D55 | Theoretical, Mathematical and Computational Physics | Complex Systems | Group Theory and Generalizations | Physics | COVARIANT | Rankin-Cohen brackets | QUANTIZATION | PHYSICS, MATHEMATICAL | OPERATORS | DEFORMATION-THEORY | MODULAR-FORMS | Quantum Algebra | Mathematics

Geometry | Deformation quantization | Rankin–Cohen brackets | 53D55 | Theoretical, Mathematical and Computational Physics | Complex Systems | Group Theory and Generalizations | Physics | COVARIANT | Rankin-Cohen brackets | QUANTIZATION | PHYSICS, MATHEMATICAL | OPERATORS | DEFORMATION-THEORY | MODULAR-FORMS | Quantum Algebra | Mathematics

Journal Article

International Journal of Number Theory, ISSN 1793-0421, 08/2019, Volume 15, Issue 7, pp. 1403 - 1412

We show that a holomorphic newform
g
that is a Hecke eigenfunction can be uniquely determined by certain noncentral critical values of a family of convolution...

MATHEMATICS | convolution L-functions | Eisenstein series | Rankin-Cohen brackets | CUSP FORMS | Cuspforms | MODULAR-FORMS

MATHEMATICS | convolution L-functions | Eisenstein series | Rankin-Cohen brackets | CUSP FORMS | Cuspforms | MODULAR-FORMS

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 10/2017, Volume 44, Issue 1, pp. 63 - 73

...–Cohen brackets and then we compute the adjoint maps of these linear maps with respect to the Petersson scalar product...

Primary 11F46 | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | Mathematics | Siegel modular forms | Secondary 11F25 | 11F66 | Fourier Analysis | Adjoint map | Dirichlet series | Number Theory | Combinatorics | JACOBI | MATHEMATICS | FOURIER COEFFICIENTS | CONSTRUCTION | DEGREE-2 | Rankin-Cohen brackets | DIFFERENTIAL-OPERATORS | CUSP FORMS | Sciences education

Primary 11F46 | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | Mathematics | Siegel modular forms | Secondary 11F25 | 11F66 | Fourier Analysis | Adjoint map | Dirichlet series | Number Theory | Combinatorics | JACOBI | MATHEMATICS | FOURIER COEFFICIENTS | CONSTRUCTION | DEGREE-2 | Rankin-Cohen brackets | DIFFERENTIAL-OPERATORS | CUSP FORMS | Sciences education

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 4/2016, Volume 39, Issue 3, pp. 533 - 544

...–Cohen brackets, and then we compute the adjoint maps of these linear maps with respect to the Petersson scalar product...

Fourier Analysis | Adjoint map | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | Primary 11F50 | Mathematics | Number Theory | Jacobi forms | Secondary 11F25 | Combinatorics | 11F66 | MATHEMATICS | SERIES | CONSTRUCTION | Rankin-Cohen brackets | CUSP FORMS | Sciences education

Fourier Analysis | Adjoint map | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | Primary 11F50 | Mathematics | Number Theory | Jacobi forms | Secondary 11F25 | Combinatorics | 11F66 | MATHEMATICS | SERIES | CONSTRUCTION | Rankin-Cohen brackets | CUSP FORMS | Sciences education

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 5/2011, Volume 25, Issue 1, pp. 141 - 147

...Ramanujan J (2011) 25: 141–147
DOI 10.1007/s11139-010-9229-2
Notes on Rankin–Cohen brackets
Youngju Choie · M i nH oL e e
Received: 29 January 2010 / Accepted...

Fourier Analysis | Modular forms | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | Mathematics | Number Theory | Combinatorics | 11F12 | 11F11 | Rankin-Cohen brackets | MATHEMATICS

Fourier Analysis | Modular forms | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | Mathematics | Number Theory | Combinatorics | 11F12 | 11F11 | Rankin-Cohen brackets | MATHEMATICS

Journal Article

International Journal of Number Theory, ISSN 1793-0421, 12/2012, Volume 8, Issue 8, pp. 2059 - 2068

...–Cohen brackets.

MaassShimura operator | Eigenforms | RankinCohen brackets | Quasimodular forms | MATHEMATICS | quasimodular forms | Maass-Shimura operator | Rankin-Cohen brackets | Mathematics - Number Theory

MaassShimura operator | Eigenforms | RankinCohen brackets | Quasimodular forms | MATHEMATICS | quasimodular forms | Maass-Shimura operator | Rankin-Cohen brackets | Mathematics - Number Theory

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 3/2010, Volume 264, Issue 3, pp. 513 - 519

... (which in the case of the unit disk is also called the Rankin–Cohen bracket) in terms of the covariant differentiation.

Holomorphic discrete series | Rankin–Cohen brackets | Mathematics, general | Bi-linear invariant differential operators | Mathematics | Transvectants | Semi simple Lie groups and Lie algebras | Covariant differentiation | Rankin-Cohen brackets | MATHEMATICS | MODULAR-FORMS | Matematik

Holomorphic discrete series | Rankin–Cohen brackets | Mathematics, general | Bi-linear invariant differential operators | Mathematics | Transvectants | Semi simple Lie groups and Lie algebras | Covariant differentiation | Rankin-Cohen brackets | MATHEMATICS | MODULAR-FORMS | Matematik

Journal Article

Pacific journal of mathematics, ISSN 0030-8730, 2018, Volume 297, Issue 2, pp. 381 - 403

We investigate the cases for which the Rankin-Cohen brackets of two quasimodular eigenforms give rise to eigenforms...

Eigenforms | Nearly holomorphic modular forms | Rankin-Cohen brackets | Quasimodular forms | MATHEMATICS | quasimodular forms | eigenforms | nearly holomorphic modular forms

Eigenforms | Nearly holomorphic modular forms | Rankin-Cohen brackets | Quasimodular forms | MATHEMATICS | quasimodular forms | eigenforms | nearly holomorphic modular forms

Journal Article

MOSCOW MATHEMATICAL JOURNAL, ISSN 1609-3321, 2004, Volume 4, Issue 1, pp. 111 - 130

We settle in this paper a question left open in our paper "Modular Hecke algebras and their Hopf symmetry", by showing how to extend the Rankin-Cohen brackets from modular forms to modular Hecke algebras...

MATHEMATICS | MATHEMATICS, APPLIED | inner Schwarzian cocycle | Hopf symmetry | quadratic differential | transverse fundamental class | modular Hecke algebras | Rankin-Cohen brackets | Rankin-Cohen deformations of algebras

MATHEMATICS | MATHEMATICS, APPLIED | inner Schwarzian cocycle | Hopf symmetry | quadratic differential | transverse fundamental class | modular Hecke algebras | Rankin-Cohen brackets | Rankin-Cohen deformations of algebras

Journal Article

10.
Full Text
Differential symmetry breaking operators: II. Rankin–Cohen operators for symmetric pairs

Selecta Mathematica, ISSN 1022-1824, 4/2016, Volume 22, Issue 2, pp. 847 - 911

Rankin–Cohen brackets are symmetry breaking operators for the tensor product of two holomorphic discrete series representations of
$$SL(2,\mathbb {R})$$
S
L
(
2
,
R...

Hermitian symmetric spaces | Branching laws | Rankin–Cohen brackets | 53C10 | Jacobi polynomial | Mathematics | Invariant theory | Verma modules | 11F55 | Symmetric pair | Primary 22E47 | F-method | Mathematics, general | Secondary 22E46 | BRACKETS | MATHEMATICS, APPLIED | REPRESENTATIONS | HOLOMORPHIC DISCRETE-SERIES | TENSOR-PRODUCTS | RESTRICTIONS | Rankin-Cohen brackets | MODULAR-FORMS | DECOMPOSABILITY | MATHEMATICS | RESPECT | REDUCTIVE SUBGROUPS | Representation Theory

Hermitian symmetric spaces | Branching laws | Rankin–Cohen brackets | 53C10 | Jacobi polynomial | Mathematics | Invariant theory | Verma modules | 11F55 | Symmetric pair | Primary 22E47 | F-method | Mathematics, general | Secondary 22E46 | BRACKETS | MATHEMATICS, APPLIED | REPRESENTATIONS | HOLOMORPHIC DISCRETE-SERIES | TENSOR-PRODUCTS | RESTRICTIONS | Rankin-Cohen brackets | MODULAR-FORMS | DECOMPOSABILITY | MATHEMATICS | RESPECT | REDUCTIVE SUBGROUPS | Representation Theory

Journal Article

The Ramanujan journal, ISSN 1382-4090, 2014, Volume 36, Issue 3, pp. 1 - 8

Given a fixed modular form of level 1 we define a family of linear operators between spaces of cusp forms by use of the Rankin-Cohen brackets and we compute the adjoint maps of such family...

Rankin-Cohen brackets | Adjoint map | Modular forms | FORMS | MATHEMATICS

Rankin-Cohen brackets | Adjoint map | Modular forms | FORMS | MATHEMATICS

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 2/2017, Volume 42, Issue 2, pp. 443 - 451

... us
to correct the corresponding results in Kim (2002).
Keywords Hermitian Jacobi forms · Hermitian modular forms · Rankin–Cohen
brackets
Mathematics Subject...

Hermitian Jacobi forms | Secondary 11F60 | Fourier Analysis | Primary 11F55 | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | Hermitian modular forms | Mathematics | Number Theory | Combinatorics | MATHEMATICS | Rankin-Cohen brackets | HEAT OPERATOR | Computer science

Hermitian Jacobi forms | Secondary 11F60 | Fourier Analysis | Primary 11F55 | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | Hermitian modular forms | Mathematics | Number Theory | Combinatorics | MATHEMATICS | Rankin-Cohen brackets | HEAT OPERATOR | Computer science

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 1/2016, Volume 39, Issue 1, pp. 133 - 147

...–Cohen brackets of modular forms can be expressed in terms of such operators. As an application, we obtain differential operators associated to certain theta series...

Jacobi-like forms | Modular forms | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | 11F50 | Mathematics | 11F11 | Fourier Analysis | Theta series | Quasimodular forms | Number Theory | Combinatorics | MATHEMATICS | Rankin-Cohen brackets

Jacobi-like forms | Modular forms | Functions of a Complex Variable | Rankin–Cohen brackets | Field Theory and Polynomials | 11F50 | Mathematics | 11F11 | Fourier Analysis | Theta series | Quasimodular forms | Number Theory | Combinatorics | MATHEMATICS | Rankin-Cohen brackets

Journal Article

Algebra & Number Theory, ISSN 1937-0652, 2013, Volume 7, Issue 8, pp. 1883 - 1917

The Rankin-Cohen bracket of two Eisenstein series provides a kernel yielding products of the periods of Hecke eigenforms at critical values...

Rankin-Cohen brackets | Eichler-Shimura-Manin theory | L-functions | Noncritical values | MATHEMATICS | noncritical values | PERIOD FUNCTIONS | Mathematics - Number Theory

Rankin-Cohen brackets | Eichler-Shimura-Manin theory | L-functions | Noncritical values | MATHEMATICS | noncritical values | PERIOD FUNCTIONS | Mathematics - Number Theory

Journal Article

Functiones et approximatio commentarii mathematici, ISSN 0208-6573, 06/2018, Volume 58, Issue 2, pp. 257 - 268

Journal Article

Journal of noncommutative geometry, ISSN 1661-6952, 2018, Volume 12, Issue 3, pp. 1041 - 1080

Let Gamma = Gamma(N) be a principal congruence subgroup of SL2 (Z). In this paper, we extend the theory of modular Hecke algebras due to Connes and Moscovici...

Hopf actions | Modular Hecke algebras | MATHEMATICS | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | RANKIN-COHEN BRACKETS

Hopf actions | Modular Hecke algebras | MATHEMATICS | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | RANKIN-COHEN BRACKETS

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 9/2008, Volume 85, Issue 2, pp. 195 - 202

...DOI 10.1007/s11005-008-0266-3
Lett Math Phys (2008) 85:195–202
Rankin–Cohen Brackets and Associativity
MICHAEL PEVZNER
FRE 3111 du CNRS, Universit´ e de Reims...

Geometry | discrete series representations | 53D55 | Rankin–Cohen brackets | Mathematical and Computational Physics | 47L80 | Group Theory and Generalizations | Physics | Statistical Physics | 11F11 | 22E46 | quantization | RankinCohen brackets | Quantization | Discrete series representations | REPRESENTATIONS | HOLOMORPHIC DISCRETE-SERIES | TENSOR-PRODUCTS | Rankin-Cohen brackets | PHYSICS, MATHEMATICAL | DIFFERENTIAL-OPERATORS | MODULAR-FORMS

Geometry | discrete series representations | 53D55 | Rankin–Cohen brackets | Mathematical and Computational Physics | 47L80 | Group Theory and Generalizations | Physics | Statistical Physics | 11F11 | 22E46 | quantization | RankinCohen brackets | Quantization | Discrete series representations | REPRESENTATIONS | HOLOMORPHIC DISCRETE-SERIES | TENSOR-PRODUCTS | Rankin-Cohen brackets | PHYSICS, MATHEMATICAL | DIFFERENTIAL-OPERATORS | MODULAR-FORMS

Journal Article

Journal of noncommutative geometry, ISSN 1661-6952, 2016, Volume 9, Issue 4, pp. 1155 - 1173

Journal Article

Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009, 2017, Volume 221, pp. 329 - 341

Conference Proceeding

Advances in mathematics (New York. 1965), ISSN 0001-8708, 2007, Volume 212, Issue 1, pp. 293 - 314

...–Cohen brackets and the Hopf algebra of transverse geometry, Mosc. Math. J. 4 (1) (2004) 111–130, 311]. We use Fedosov's method of deformation quantization of symplectic manifolds to reconstruct Zagier's deformation...

Modular forms | Hopf algebra | Deformation quantization | Rankin–Cohen brackets | Rankin-Cohen brackets | MATHEMATICS | modular forms | OPERATORS | deformation quantization | hopf algebra

Modular forms | Hopf algebra | Deformation quantization | Rankin–Cohen brackets | Rankin-Cohen brackets | MATHEMATICS | modular forms | OPERATORS | deformation quantization | hopf algebra

Journal Article

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