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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
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
Journal Article
The Ramanujan Journal, ISSN 1382-4090, 10/2017, Volume 44, Issue 1, pp. 63 - 73
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
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
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 12/2012, Volume 8, Issue 8, pp. 2059 - 2068
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
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
Journal Article
Selecta Mathematica, ISSN 1022-1824, 4/2016, Volume 22, Issue 2, pp. 847 - 911
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
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
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
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
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
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 9/2008, Volume 85, Issue 2, pp. 195 - 202
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
Journal Article
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