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Mathematics of Sudoku
The class of Sudoku puzzles consists of a partially completed row-column grid of cells partitioned into N regions each of size N cells, to be filled…
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2016
2016
$\hat{G}$-local systems on smooth projective curves are potentially automorphic
Gebhard Bockle
,
M. Harris
,
Chandrashekhar B. Khare
,
J. Thorne
Acta Mathematica
2016
Corpus ID: 119736511
Let $X$ be a smooth, projective, geometrically connected curve over a finite field $\mathbb{F}_q$, and let $G$ be a split…
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Highly Cited
2012
Highly Cited
2012
Sato–Tate theorem for families and low-lying zeros of automorphic $$L$$L-functions
S. Shin
,
Nicolas Templier
2012
Corpus ID: 119317992
We consider certain families of automorphic representations over number fields arising from the principle of functoriality of…
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2011
2011
Special Values of Green Functions at Big CM Points
J. Bruinier
,
S. Kudla
,
Tonghai Yang
2011
Corpus ID: 16373515
We give a formula for the values of automorphic Green functions on the special rational 0-cycles (big CM points) attached to…
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Highly Cited
2010
Highly Cited
2010
R4 couplings and automorphic unipotent representations
B. Pioline
2010
Corpus ID: 119218850
Four-graviton, eight-derivative couplings in the low energy effective action of toroidal type II string compactifications are…
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Highly Cited
2009
Highly Cited
2009
The Weil representation of SL2(Z) and some applications
Nils R. Scheithauer
2009
Corpus ID: 14989790
The theta function of a positive definite even lattice of even rank generates a representation of SL2(Z) on the group algebra of…
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2005
2005
Geometric Waldspurger periods
Sergey Lysenko
Compositio Mathematica
2005
Corpus ID: 11020438
Abstract Let X be a smooth projective curve. We consider the dual reductive pair $H=\mathrm {G\mathbb {O}}_{2m}$, $G=\mathrm {G…
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Highly Cited
2000
Highly Cited
2000
Arithmeticity in the Theory of Automorphic Forms
G. Shimura
2000
Corpus ID: 123419990
Highly Cited
1997
Highly Cited
1997
AUTOMORPHIC PSEUDODIFFERENTIAL OPERATORS
Paula B. Cohen
,
Y. Manin
,
D. Zagier
1997
Corpus ID: 6629723
The theme of this paper is the correspondence between classical modular forms and pseudodifferential operators (ΨDO’s) which have…
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Review
1997
Review
1997
A survey of Drinfeld modular forms
G. Cornelissen
1997
Corpus ID: 124897609
The possibility of a theory of modular forms for function fields was perhaps implicit in Drinfeld’s original work, but the notion…
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Highly Cited
1981
Highly Cited
1981
The trace formula in invariant form
J. Arthur
1981
Corpus ID: 16424280
Introduction The trace formula for GL2 has yielded a number of deep results on automorphic forms. The same results ought to hold…
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