On the analytic form of the geometric theory of automorphic forms  Robert Langlands Printed May 31, 2018; original is undated (MayHad we but world enough, and time, . . .

Source URL: www.jmilne.org

125 Documenta Math. Lifting from two Elliptic Modular Forms to Siegel Modular Forms of Half-Integral Weight

Source URL: documenta.sagemath.org

• Mathematical analysis
• Mathematics
• Modular forms
• Algebra
• Automorphic forms
• Analytic number theory
• Linear algebra
• Eisenstein series
• Theta constant
• Hecke operator
• Siegel modular form
• Jacobi form

The Rankin-Selberg method for automorphic distributions Stephen D. Miller? and Wilfried Schmid?? 1 2

Source URL: www.math.harvard.edu

• Mathematical analysis
• Mathematics
• Fourier analysis
• Modular forms
• Generalized functions
• Analytic number theory
• Special functions
• RankinSelberg method
• Maass wave form
• Fourier transform
• Bessel function
• Dirac delta function

On Zagier’s cusp form and the Ramanujan τ function

Source URL: www.mast.queensu.ca

• Mathematical analysis
• Modular forms
• Mathematics
• Number theory
• Cusp form
• Ramanujan tau function
• Automorphic form
• Petersson inner product
• RamanujanPetersson conjecture
• Hecke operator

SERRE’S CONJECTURE OVER IMAGINARY QUADRATIC FIELDS By Mehmet Haluk S ¸ eng¨

Source URL: www.math.uni-bonn.de

• Algebraic number theory
• Conjectures
• Galois theory
• Modular forms
• Analytic number theory
• Galois module
• Jean-Pierre Serre
• Hecke operator
• Automorphic form
• Algebraic number field
• variste Galois
• RamanujanPetersson conjecture

Review of SL2 (R) by Serge Lang Given the formalism of quantum mechanics, the study of those of its laws which are invariant under the Lorentz group inevitably leads to infinite-dimensional representations of both the ho

Source URL: www.sunsite.ubc.ca

• Representation theory of Lie groups
• Representation theory
• Automorphic form
• SL2
• Discrete series representation
• Unitary representation
• Selberg trace formula
• Matrix coefficient
• Representation theory of SL2
• Abstract algebra
• Group theory
• Mathematical analysis

Shimura varieties and the Selberg trace formula * R.P. Langlands This paper is a report on work in progress rather than a description of theorems which have attained their final form. The results I shall describe are par

Source URL: www.sunsite.ubc.ca

• Mathematics
• Analytic number theory
• Algebraic geometry
• Shimura variety
• Selberg trace formula
• Explicit formula
• Representation theory
• Modular form
• Arthur–Selberg trace formula
• Mathematical analysis
• Abstract algebra
• Automorphic forms

March 15, 1968 Ankara, Turkey Dear Serre, Thank you very much for your letter and the various reprints. I should have anticipated the trouble you would have with the functional equation but I did not. Please accept my ap

Source URL: www.sunsite.ubc.ca

• Class field theory
• Number theory
• Representation theory of Lie groups
• Representation theory
• Automorphic form
• Langlands program
• Artin L-function
• Gelfand–Naimark–Segal construction
• Abstract algebra
• Mathematics
• Mathematical analysis

PDF Document

Source URL: www.sunsite.ubc.ca

• Modular forms
• Automorphic forms
• Analytic number theory
• Number theory
• Fractals
• Eisenstein series
• Cusp form
• Representation theory
• Hecke operator
• Mathematical analysis
• Abstract algebra
• Mathematics

Review of The theory of Eisenstein systems by M. Scott Osborne and Garth Warner The Laplace-Beltrami operator on the upper half-plane with respect to the hyperbolic metric is ∂2 ∂x2

Source URL: www.sunsite.ubc.ca

• Modular forms
• Selberg trace formula
• Fuchsian group
• Automorphic form
• Cusp form
• Congruence subgroup
• Hecke operator
• Induced representation
• Möbius transformation
• Abstract algebra
• Mathematical analysis
• Mathematics