Add to ORKGIn this paper we prove a functional transcendence statement for the j-function which is an analogue of the Ax-Schanuel theorem for the exponential function. It asserts, roughly, that atypical algebraic relations among functions and their compositions with the j-function are governed by modular relations
As usual, let q: = e2piiz and let j(z) be the classical modular function j(z) = n=−
In a set of Hauptmoduls lived a function by the name of Jay. The year was 1979. Jay was quite old, t...
We derive the asymptotic formula for the Fourier coefficients of the j-function using an arithmetic ...
In this paper we prove a functional transcendence statement for the j-function which is an analogue ...
I give a model-theoretic setting for the modular j function and its derivatives. These structures, h...
Inspired by work done for systems of polynomial exponential equations, we study systems of equations...
We prove the Existential Closedness conjecture for the differential equation of the j-function and i...
We prove some unconditional cases of the Existential Closedness problem for the modular j-function. ...
We first prove some equivalent statements on J-stability of families of critically finite entire fun...
Inspired by the idea of blurring the exponential function, we define blurred variants of the j-funct...
In [1], J. Ax proved a transcendency theorem for certain differential fields of characteristic zero:...
The purpose of this thesis is to provide model-theoretic structures to study Shimura varieties. Two ...
RésuméWe describe here the state of the art in transcendence methods, proving in an abstract setting...
International audienceWe introduce and discuss a variant of Schanuel conjecture in the framework of ...
We introduce and discuss a variant of Schanuel conjecture in the framework of the Carlitz exponentia...
As usual, let q: = e2piiz and let j(z) be the classical modular function j(z) = n=−
In a set of Hauptmoduls lived a function by the name of Jay. The year was 1979. Jay was quite old, t...
We derive the asymptotic formula for the Fourier coefficients of the j-function using an arithmetic ...
In this paper we prove a functional transcendence statement for the j-function which is an analogue ...
I give a model-theoretic setting for the modular j function and its derivatives. These structures, h...
Inspired by work done for systems of polynomial exponential equations, we study systems of equations...
We prove the Existential Closedness conjecture for the differential equation of the j-function and i...
We prove some unconditional cases of the Existential Closedness problem for the modular j-function. ...
We first prove some equivalent statements on J-stability of families of critically finite entire fun...
Inspired by the idea of blurring the exponential function, we define blurred variants of the j-funct...
In [1], J. Ax proved a transcendency theorem for certain differential fields of characteristic zero:...
The purpose of this thesis is to provide model-theoretic structures to study Shimura varieties. Two ...
RésuméWe describe here the state of the art in transcendence methods, proving in an abstract setting...
International audienceWe introduce and discuss a variant of Schanuel conjecture in the framework of ...
We introduce and discuss a variant of Schanuel conjecture in the framework of the Carlitz exponentia...
As usual, let q: = e2piiz and let j(z) be the classical modular function j(z) = n=−
In a set of Hauptmoduls lived a function by the name of Jay. The year was 1979. Jay was quite old, t...
We derive the asymptotic formula for the Fourier coefficients of the j-function using an arithmetic ...