《自守形式與l-函數(精裝)》
l-functions and functoriality
james w. cogdell
i l-functions for gl(n) and converse theorems
1 modular forms and automorphic representations
2 l-functions for gln and converse theorems
ii l-functions via eisenstein series
3 the origins: langlands
4 the method: langlands-shahidi
5 the results: shahidi
iii functoriality
6 langlands conjectures and functoriality
7 the converse theorem and functoriality
8 symmetric powers and applications
references
twisted hilbert modular l-functions and spectral theory
gergely harcos
1 lecture one: some quadratic forms
2 lecture two: more quadratic forms
3 lecture three: preliminaries from number theory
4 lecture four: subconvexity of twisted l-functions
acknowledgments
references
the voronoi formula for the triple divisor function
xiaoqing li
1 introduction
2 proof of the main theorem
acknowledgments
references
linnik's ergodic method and the hasse principle for ternary
quadratic forms
philippe michel
1 foreword
2 integral quadratic forms
3 the hasse principle
4 quadratic forms over lattices
5 equidistribution on adelic quotient
6 properties of the adeles
7 the hasse integral principle and equidistribution of adelic orbits
8 the ergodic method
references
automorphic periods and representation theory
andre reznikov
1 automorphic representations and frobenius reciprocity
2 bounds on periods and representation theory
acknowledgments
references
eisenstein series, l-functions and representation theory
freydoon shahidi
1 preliminaries
2 l-groups, l-functions and generic representations
3 eisenstein series and intertwining operators;the constant term
4 constant term and automorphic l-functions
5 examples
6 local coefficients, nonconstant term and the crude functional equation
7 the main induction, functional equations and multiplicativity
8 twists by highly ramified characters, holomorphy and boundedness
9 examples of functoriality with applications
10 applications to representation theory
references
lecture notes on some analytic properties of automorphic
l-functions for sl2(z)
yangbo ye
1 introduction
2 an integral representation and functional equation
3 a converse theorem
4 the phragmen-lindelof principle and convexity
5 the rankin-selberg theory
references
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