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2005, Cambridge tracts in mathematics, ISBN 0521850649, Volume 167, vi, 193
Poincaré duality algebras originated in the work of topologists on the cohomology of closed manifolds, and Macaulay's dual systems in the study of irreducible... 
Poincaré series | Duality theory (Mathematics) | Steenrod algebra | Poincare series
Book
Ramanujan Journal, ISSN 1382-4090, 01/2019, Volume 48, Issue 1, pp. 47 - 62
We consider the reproducing kernel function of the theta Bargmann-Fock Hilbert space associated with given full-rank lattice and pseudo-character, and we deal... 
Hermite–Gauss series | Poincaré series | Von Neumann lattice | Weierstrass σ-function | Lattice sums | Automorphic reproducing kernel function | Complex Hermite polynomials | Theta Bargmann–Fock space | MATHEMATICS | Theta Bargmann-Fock space | Hermite-Gauss series | Poincare series | Weierstrass s-function
Journal Article
Forum Mathematicum, ISSN 0933-7741, 11/2018, Volume 30, Issue 6, pp. 1437 - 1459
We study a real analytic Jacobi–Eisenstein series of matrix index and deduce several arithmetically interesting properties. In particular, we prove the... 
11F37 | quadratic forms | 11F50 | Jacobi–Eisenstein series | Dirichlet series | 11F30 | hyperbolic space | Jacobi-Eisenstein series | MATHEMATICS, APPLIED | ZETA-FUNCTIONS | POINCARE-SERIES | THEOREM | MODULAR-FORMS | MATHEMATICS | INTEGRAL WEIGHT | FOURIER COEFFICIENTS | CUSP FORMS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2018, Volume 466, Issue 2, pp. 1476 - 1485
We prove some non-vanishing results of Hilbert Poincaré series. We derive these results, by showing that the Fourier coefficients of Hilbert Poincaré series... 
Hilbert modular forms | Poincaré series | Non-vanishing | MATHEMATICS | MATHEMATICS, APPLIED | Poincare series
Journal Article
Journal of Algebra, ISSN 0021-8693, 02/2019, Volume 520, pp. 440 - 459
We study Cohen–Macaulay non-Gorenstein local rings admitting certain totally reflexive modules. More precisely, we give a description of the Poincaré series of... 
Large homomorphisms | G-regular local ring | Quasi-Gorenstein ideal | Totally reflexive module | Quasi-complete intersection ideal | Poincaré series | EXT | CUBE | LOCAL-RINGS | Poincare series | DIMENSION ZERO | MATHEMATICS | CONSTRUCTION | BRAUER-THRALL
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 6/2019, Volume 292, Issue 1, pp. 591 - 610
In this article we study the homology of spaces $$\mathrm{Hom}({\mathbb Z}^n,G)$$ Hom ( Z n , G ) of ordered pairwise commuting n-tuples in a Lie group G. We... 
Finite reflection group | 57T10 | Representation space | Mathematics, general | 55N10 | Mathematics | Characteristic degree | Hilbert–Poincaré series | Primary 22E99 | Secondary 20F55
Journal Article
Journal of Number Theory, ISSN 0022-314X, 11/2019, Volume 204, pp. 579 - 598
In this article, we study the twisted analogue of the traces of singular moduli on 3-dimensional hyperbolic space. We prove that the twisted traces of Niebur... 
Niebur Poincaré series | Traces of singular moduli | MATHEMATICS | TWISTED BORCHERDS PRODUCTS | TRACES | VALUES | HILBERT MODULAR SURFACES | HEEGNER POINTS | Niebur Poincare series
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 07/2019, Volume 58, pp. 46 - 69
We investigate the structure of the generalized Weierstrass semigroups at several points on a curve defined over a finite field. We present a description of... 
Poincaré | Riemann-Roch spaces | Generalized Weierstrass semigroups | MATHEMATICS | MATHEMATICS, APPLIED | GOPPA CODES | POINTS | GAPS | Generalized Weicrstrass semigroups | Poincare | PAIR | Computer science
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2015, Volume 432, Issue 2, pp. 1077 - 1094
We construct an infinite family of half-integral weight Poincaré series coming from vector valued harmonic weak Maass forms, and investigate linear relations... 
Half-integral weight modular forms | Harmonic weak Maass forms | Weakly holomorphic modular forms | Poincaré series | MATHEMATICS | MATHEMATICS, APPLIED | WEAK MAASS FORMS | Poincare series
Journal Article
Advances in Applied Mathematics, ISSN 0196-8858, 04/2018, Volume 95, pp. 177 - 198
Let be the unique even self-dual lattice of signature . The automorphism group acts on the hyperbolic space . We study a Poincaré series defined for in ,... 
Exponential sum | Poincaré series | Analytic continuation | Hyperbolic reflection group | Leech Lattice | FORMS | MATHEMATICS, APPLIED | Poincare series
Journal Article
Journal of Algebra, ISSN 0021-8693, 03/2018, Volume 498, pp. 129 - 152
We study the Poincaré series of modules over a fiber product of commutative local rings. We introduce the notion of a weak complete intersection ideal; these... 
Fiber product | Golod homomorphism | Local ring | Golod ring | Poincaré series | Weak complete intersection | MATHEMATICS | HOMOMORPHISMS | ALGEBRA RETRACTS | MODULES | FREE RESOLUTIONS | LOCAL-RINGS | Poincare series
Journal Article
2006, Monograph series on nonlinear science and complexity, ISBN 0444521895, Volume 2
eBook
1993, ISBN 9780691021133, Volume 41., 255
Book
Glasnik Matematicki, ISSN 0017-095X, 2018, Volume 53, Issue 2, pp. 239 - 264
We use Poincare series of K-finite matrix coefficients of genuine integrable representations of the metaplectic cover of SL2 (R) to construct a spanning set... 
R | Cusp forms of half-integral weight | Metaplectic cover of SL | Poincaré series | MATHEMATICS | MATHEMATICS, APPLIED | metaplectic cover of SL2(R) | Poincare series | MODULAR-FORMS
Journal Article
The Ramanujan Journal, ISSN 1382-4090, 4/2018, Volume 45, Issue 3, pp. 639 - 645
The ring of Jacobi forms of even weights is generated by the weak Jacobi forms $$\phi _{-2,1}$$ ϕ-2,1 and $$\phi _{0,1}$$ ϕ0,1 . Bringmann and the first author... 
Weak Jacobi forms | Maass–Jacobi–Poincaré series | Fourier Analysis | 11F37 | Functions of a Complex Variable | Field Theory and Polynomials | Primary 11F50 | Secondary 11F27 | Mathematics | Number Theory | Combinatorics | Theta decomposition | MATHEMATICS | Maass-Jacobi-Poincare series
Journal Article
Advances in Mathematics, ISSN 0001-8708, 08/2015, Volume 281, pp. 624 - 669
We prove a nonvanishing result for Koecher–Maass series attached to Siegel cusp forms of weight and degree in certain strips on the complex plane. When , we... 
Koecher–Maass series | Siegel modular forms | Koecher-Maass series | MATHEMATICS | EISENSTEIN SERIES | POINCARE-SERIES | DIRICHLET SERIES | MODULAR-FORMS
Journal Article
Advances in Mathematics, ISSN 0001-8708, 07/2014, Volume 259, pp. 421 - 447
Given two positive integers and we consider Gorenstein Artinian local rings whose maximal ideal satisfies and . We say that is a when it has maximal length... 
Compressed Gorenstein ring | Golod map | Poincaré series | DG algebra | Secondary | Primary | CODIMENSION | FREE RESOLUTIONS | Poincare series | CONJECTURE | MATHEMATICS | ALGEBRAS | BETTI NUMBERS | SOCLE | GROWTH | HOMOLOGY | Algebra
Journal Article
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