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1

Heegner divisors, L -functions and harmonic weak Maass forms

Bruinier, Jan, Ono, Ken

Journal:

Annals of Mathematics

Année:

2010

Langue:

english

Fichier:

PDF, 1.57 MB

english, 2010

2

[Lecture Notes in Mathematics] Borcherds Products on O(2, l) and Chern Classes of Heegner Divisors Volume 1780 || 1. Vector valued modular forms for the metaplectic group

Bruinier, Jan H.

Année:

2002

Langue:

english

Fichier:

PDF, 316 KB

english, 2002

3

The Weil representation and Hecke operators for vector valued modular forms

Jan Hendrik Bruinier, Oliver Stein

Journal:

Mathematische Zeitschrift

Année:

2010

Langue:

english

Fichier:

PDF, 289 KB

english, 2010

4

Borcherds products and arithmetic intersection theory on Hilbert modular surfaces

Bruinier, Jan H., Burgos Gil, José I., Kühn, Ulf

Journal:

Duke Mathematical Journal

Année:

2007

Langue:

english

Fichier:

PDF, 883 KB

english, 2007

5

Coefficients of half-integral weight modular forms

Jan H. Bruinier, Ken Ono

Journal:

Journal of Number Theory

Année:

2003

Langue:

english

Fichier:

PDF, 186 KB

english, 2003

6

Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues

Jan H. Bruinier, Ken Ono, Robert C. Rhoades

Journal:

Mathematische Annalen

Année:

2008

Langue:

english

Fichier:

PDF, 261 KB

english, 2008

7

Identities and congruences for Ramanujan’sω(q)

Jan H. Bruinier, Ken Ono

Journal:

The Ramanujan Journal

Année:

2010

Langue:

english

Fichier:

PDF, 284 KB

english, 2010

8

On the Rank of Picard Groups of Modular Varieties Attached to Orthogonal Groups

Jan Hendrik Bruinier

Journal:

Compositio Mathematica

Année:

2002

Langue:

english

Fichier:

PDF, 152 KB

english, 2002

9

Twisted Borcherds Products on Hilbert Modular Surfaces and Their CM Values

Jan Hendrik Bruinier and Tonghai Yang

Journal:

American Journal of Mathematics

Année:

2007

Langue:

english

Fichier:

PDF, 3.18 MB

english, 2007

10

On two geometric theta lifts

Jens Funke, Jan Hendrik, Bruinier,

Journal:

Duke Mathematical Journal

Année:

2004

Langue:

english

Fichier:

PDF, 404 KB

english, 2004

11

Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products

Bruinier, Jan Hendrik, Schwagenscheidt, Markus

Journal:

Journal of Algebra

Année:

2017

Langue:

english

Fichier:

PDF, 443 KB

english, 2017

12

Heegner divisors in generalized Jacobians and traces of singular moduli

Bruinier, Jan Hendrik, Li, Yingkun

Journal:

Algebra & Number Theory

Année:

2016

Langue:

english

Fichier:

PDF, 1006 KB

english, 2016

13

CM-values of Hilbert modular functions

Jan Hendrik Bruinier, Tonghai Yang

Journal:

Inventiones mathematicae

Année:

2006

Langue:

english

Fichier:

PDF, 843 KB

english, 2006

14

Traces of CM values of modular functions

Bruinier, Jan Hendrik, Funke, Jens

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Année:

2006

Langue:

english

Fichier:

PDF, 308 KB

english, 2006

15

Nonvanishing modulo $\ell$ of Fourier coefficients of half-integral weight modular forms

Bruinier, Jan Hendrik

Journal:

Duke Mathematical Journal

Année:

1999

Langue:

english

Fichier:

PDF, 123 KB

english, 1999

16

The arithmetic of the values of modular functions and the divisors of modular forms

Bruinier, Jan H., Kohnen, Winfried, Ono, Ken

Journal:

Compositio Mathematica

Année:

2004

Langue:

english

Fichier:

PDF, 249 KB

english, 2004

17

[Contributions in Mathematical and Computational Sciences] L-Functions and Automorphic Forms Volume 10 || Harmonic Eisenstein Series of Weight One

Bruinier, Jan Hendrik, Kohnen, Winfried

Année:

2017

Langue:

english

Fichier:

PDF, 263 KB

english, 2017

18

[Contributions in Mathematical and Computational Sciences] L-Functions and Automorphic Forms Volume 10 || The Metaplectic Tensor Product as an Instance of Langlands Functoriality

Bruinier, Jan Hendrik, Kohnen, Winfried

Année:

2017

Langue:

english

Fichier:

PDF, 649 KB

english, 2017

19

Corrigendum to “Coefficients of half-integral weight modular forms”: [J. Number Theory 99 (2003) 164–179]

Jan H. Bruinier, Ken Ono

Journal:

Journal of Number Theory

Année:

2004

Langue:

english

Fichier:

PDF, 149 KB

english, 2004

20

The arithmetic of Borcherds' exponents

Jan H. Bruinier, Ken Ono

Journal:

Mathematische Annalen

Année:

2003

Langue:

english

Fichier:

PDF, 155 KB

english, 2003

21

Hilbert class polynomials and traces of singular moduli

Jan Hendrik Bruinier, Paul Jenkins, Ken Ono

Journal:

Mathematische Annalen

Année:

2006

Langue:

english

Fichier:

PDF, 228 KB

english, 2006

22

Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues

Jan H. Bruinier, Ken Ono, Robert C. Rhoades

Journal:

Mathematische Annalen

Année:

2009

Langue:

english

Fichier:

PDF, 83 KB

english, 2009

23

Faltings heights of CM cycles and derivatives of

Jan Hendrik Bruinier, Tonghai Yang

Journal:

Inventiones mathematicae

Année:

2009

Langue:

english

Fichier:

PDF, 924 KB

english, 2009

24

Borcherds products and Chern classes of Hirzebruch-Zagier divisors

Jan Hendrik Bruinier

Journal:

Inventiones mathematicae

Année:

1999

Langue:

english

Fichier:

PDF, 226 KB

english, 1999

25

Eisenstein series attached to lattices¶and modular forms on orthogonal groups

Jan Hendrik Bruinier, Michael Kuss

Journal:

manuscripta mathematica

Année:

2001

Langue:

english

Fichier:

PDF, 132 KB

english, 2001

26

Twisted Borcherds products on Hilbert modular surfaces and their CM values

Bruinier, Jan H. (Jan Hendrik), Yang, Tonghai

Journal:

American Journal of Mathematics

Année:

2007

Langue:

english

Fichier:

PDF, 595 KB

english, 2007

27

Harmonic Maass forms and periods

Jan Hendrik Bruinier

Journal:

Mathematische Annalen

Année:

2013

Langue:

english

Fichier:

PDF, 315 KB

english, 2013

28

Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms

Bruinier, Jan Hendrik, Ono, Ken

Journal:

Advances in Mathematics

Année:

2013

Langue:

english

Fichier:

PDF, 278 KB

english, 2013

29

On the converse theorem for Borcherds products

Bruinier, Jan Hendrik

Journal:

Journal of Algebra

Année:

2014

Langue:

english

Fichier:

PDF, 420 KB

english, 2014

30

Regularized theta lifts for orthogonal groups over totally real fields

Bruinier, Jan Hendrik

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Année:

2012

Langue:

english

Fichier:

PDF, 391 KB

english, 2012

31

Heights of Kudla–Rapoport divisors and derivatives of\(L\)-functions

Bruinier, Jan Hendrik, Howard, Benjamin, Yang, Tonghai

Journal:

Inventiones mathematicae

Année:

2015

Langue:

english

Fichier:

PDF, 837 KB

english, 2015

32

Regularized theta liftings and periods of modular functions

Bruinier, Jan H., Funke, Jens, Imamoḡlu, Özlem

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Année:

2015

Langue:

english

Fichier:

PDF, 578 KB

english, 2015

33

[Lecture Notes in Mathematics] Borcherds Products on O(2, l) and Chern Classes of Heegner Divisors Volume 1780 || Subject Index and Notation Index

Bruinier, Jan H.

Année:

2002

Langue:

english

Fichier:

PDF, 132 KB

english, 2002

34

KUDLA’S MODULARITY CONJECTURE AND FORMAL FOURIER–JACOBI SERIES

BRUINIER, JAN HENDRIK, WESTERHOLT-RAUM, MARTIN

Journal:

Forum of Mathematics, Pi

Année:

2015

Langue:

english

Fichier:

PDF, 421 KB

english, 2015

35

Class polynomials for nonholomorphic modular functions

Bruinier, Jan Hendrik, Ono, Ken, Sutherland, Andrew V.

Journal:

Journal of Number Theory

Année:

2016

Langue:

english

Fichier:

PDF, 525 KB

english, 2016

36

[Contributions in Mathematical and Computational Sciences] L-Functions and Automorphic Forms Volume 10 || Bounds for Fourier-Jacobi Coefficients of Siegel Cusp Forms of Degree Two

Bruinier, Jan Hendrik, Kohnen, Winfried

Année:

2017

Langue:

english

Fichier:

PDF, 199 KB

english, 2017

37

[Lecture Notes in Mathematics] Borcherds Products on O(2, l) and Chern Classes of Heegner Divisors Volume 1780 || 3. The Fourier expansion of the theta lift

Bruinier, Jan H.

Année:

2002

Langue:

english

Fichier:

PDF, 379 KB

english, 2002

38

Cones of Heegner divisors

Bruinier, Jan Hendrik, Möller, Martin

Journal:

Journal of Algebraic Geometry

Année:

2019

Fichier:

PDF, 290 KB

2019

39

A CONVERSE THEOREM FOR BORCHERDS PRODUCTS ON

BRUINIER, JAN HENDRIK, SCHWAGENSCHEIDT, MARKUS

Journal:

Nagoya Mathematical Journal

Année:

2019

Langue:

english

Fichier:

PDF, 486 KB

english, 2019

40

Two applications of the curve lemma for orthogonal groups

Jan Hendrik Bruinier

Journal:

Mathematische Nachrichten

Année:

2004

Langue:

english

Fichier:

PDF, 214 KB

english, 2004

41

Computation of Harmonic Weak Maass Forms

Bruinier, Jan H., Strömberg, Fredrik

Journal:

Experimental Mathematics

Année:

2012

Langue:

english

Fichier:

PDF, 240 KB

english, 2012

42

Vector valued formal Fourier-Jacobi series

Bruinier, Jan Hendrik

Journal:

Proceedings of the American Mathematical Society

Année:

2014

Langue:

english

Fichier:

PDF, 182 KB

english, 2014

43

10.1155/s1073792803204165

Bruinier, Jan, Kühn, Ulf

Journal:

International Mathematics Research Notices

Année:

2003

Langue:

english

Fichier:

PDF, 419 KB

english, 2003

44

[Lecture Notes in Mathematics] Borcherds Products on O(2, l) and Chern Classes of Heegner Divisors Volume 1780 || 5. Chern classes of Heegner divisors

Bruinier, Jan H.

Année:

2002

Langue:

english

Fichier:

PDF, 267 KB

english, 2002

45

Lattices with many Borcherds products

Bruinier, Jan Hendrik, Ehlen, Stephan, Freitag, Eberhard

Journal:

Mathematics of Computation

Année:

2015

Langue:

english

Fichier:

PDF, 1.86 MB

english, 2015

46

Degenerate Whittaker functions for $\Sp_n(\R)$

Bruinier, Jan, Funke, Jens, Kudla, Stephen

Journal:

International Mathematics Research Notices

Année:

2016

Langue:

english

Fichier:

PDF, 423 KB

english, 2016

47

[Contributions in Mathematical and Computational Sciences] L-Functions and Automorphic Forms Volume 10 ||

Bruinier, Jan Hendrik, Kohnen, Winfried

Année:

2017

Langue:

english

Fichier:

PDF, 5.13 MB

english, 2017

48

[Contributions in Mathematical and Computational Sciences] L-Functions and Automorphic Forms Volume 10 || An Introduction to the Theory of Harmonic Maass Forms

Bruinier, Jan Hendrik, Kohnen, Winfried

Année:

2017

Langue:

english

Fichier:

PDF, 393 KB

english, 2017

49

[Contributions in Mathematical and Computational Sciences] L-Functions and Automorphic Forms Volume 10 || A Note on the Growth of Nearly Holomorphic Vector-Valued Siegel Modular Forms

Bruinier, Jan Hendrik, Kohnen, Winfried

Année:

2017

Langue:

english

Fichier:

PDF, 213 KB

english, 2017

50

[Contributions in Mathematical and Computational Sciences] L-Functions and Automorphic Forms Volume 10 || Computing Invariants of the Weil Representation

Bruinier, Jan Hendrik, Kohnen, Winfried

Année:

2017

Langue:

english

Fichier:

PDF, 275 KB

english, 2017