This Fall we will discuss the analytical continuation of Eisenstein series. This is a topic of interest to both number theory students (those interested in modular forms, automorphic forms, and analytic number theory) and to analysis students (anyone interested in spectral theory or analysis on manifolds). Administrivia. • The seminar is entirely based on lectures by the participants on a rotating basis. • Graduate students can take the seminar for credit; if so your grade will be based on your lectures. • No background in number theory is needed this term. Proposed Outline. (1) Introduction: the space of lattices, doubly periodic functions and holomorphic forms. (2) Geometry of the hyperbolic plane and the modular surface. SL2(R). (3) Maas...
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L...
We consider complex-valued modular forms on finite upper half planes Hq and ob-tain Fourier expansio...
One approach to studying the p-adic behavior of L-functions relies on understanding p-adic propertie...
The theory of Eisenstein series is fundamental for the spectral the-ory of automorphic forms. It was...
will consist of two semesters with different foci, both exploring the fruitful interactions between ...
SIGLEAvailable from British Library Lending Division - LD:D54707/85 / BLDSC - British Library Docume...
utomorphic forms are generalizations of periodic functions; they are func-tions on a group that are ...
This paper will formulate and offer evidence for a conjecture on the analytical behaviour of residua...
(Communicated by Helmuth Malonek) Abstract. In this paper we deal with generalizations of the classi...
The modern theory of automorphic forms is a response to many different impulses and influences, abov...
In these days of dizzying scientific progress some apology is called for when offering to the mathem...
Based on the new approach to modular forms presented in [6] that uses rational functions, we prove a...
In these days of dizzying scientific progress some apology is called for when offering to the mathem...
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L...
We prove a conjecture of Matsusaka on the analytic continuation of hyperbolic Eisenstein series in w...
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L...
We consider complex-valued modular forms on finite upper half planes Hq and ob-tain Fourier expansio...
One approach to studying the p-adic behavior of L-functions relies on understanding p-adic propertie...
The theory of Eisenstein series is fundamental for the spectral the-ory of automorphic forms. It was...
will consist of two semesters with different foci, both exploring the fruitful interactions between ...
SIGLEAvailable from British Library Lending Division - LD:D54707/85 / BLDSC - British Library Docume...
utomorphic forms are generalizations of periodic functions; they are func-tions on a group that are ...
This paper will formulate and offer evidence for a conjecture on the analytical behaviour of residua...
(Communicated by Helmuth Malonek) Abstract. In this paper we deal with generalizations of the classi...
The modern theory of automorphic forms is a response to many different impulses and influences, abov...
In these days of dizzying scientific progress some apology is called for when offering to the mathem...
Based on the new approach to modular forms presented in [6] that uses rational functions, we prove a...
In these days of dizzying scientific progress some apology is called for when offering to the mathem...
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L...
We prove a conjecture of Matsusaka on the analytic continuation of hyperbolic Eisenstein series in w...
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L...
We consider complex-valued modular forms on finite upper half planes Hq and ob-tain Fourier expansio...
One approach to studying the p-adic behavior of L-functions relies on understanding p-adic propertie...