The main result of this dissertation is an asymptotic formula for the fourth moment of automorphic $L$-functions of prime power level. This is a continuation of the work of Rouymi, who computed the first three moments at prime power level, and a generalisation of results obtained for prime level by Duke, Friedlander & Iwaniec and Kowalski, Michel & Vanderkam
Individual values of L-functions inside the critical strip have great arithmetic significance (such ...
Spectral moment formulae of various shapes have proven to be very successful in studying the statist...
We investigate properties of prime numbers and L-functions, and interactions between these two topic...
The main result of this dissertation is an asymptotic formula for the fourth moment of automorphic L...
Il risultato principale di questa tesi \ue8 una formula asintotica per il momento quarto di funzioni...
Le résultat principal de cette thèse est une formule asymptotique pour le quatrième moment des fonct...
Le résultat principal de cette thèse est une formule asymptotique pour le quatrième moment des fonct...
Le résultat principal de cette thèse est une formule asymptotique pour le quatrième moment des fonct...
Il risultato principale di questa tesi è una formula asintotica per il momento quarto di funzioni a...
The asymptotic formula of the fourth moment of Dirichlet $L$-functions at the central value was pred...
Doctor of PhilosophyDepartment of MathematicsXiannan LiThe first chapter of this dissertation provid...
Doctor of PhilosophyDepartment of MathematicsXiannan LiThe first chapter of this dissertation provid...
This is the final version. Available on open access from Springer Verlag via the DOI in this recordW...
For a positive integer $q\not\equiv 2 \pmod 4$, this work considers the fourth moment of Dirichlet $...
We present in this dissertation several theorems on the subject of moments of automorphic L-function...
Individual values of L-functions inside the critical strip have great arithmetic significance (such ...
Spectral moment formulae of various shapes have proven to be very successful in studying the statist...
We investigate properties of prime numbers and L-functions, and interactions between these two topic...
The main result of this dissertation is an asymptotic formula for the fourth moment of automorphic L...
Il risultato principale di questa tesi \ue8 una formula asintotica per il momento quarto di funzioni...
Le résultat principal de cette thèse est une formule asymptotique pour le quatrième moment des fonct...
Le résultat principal de cette thèse est une formule asymptotique pour le quatrième moment des fonct...
Le résultat principal de cette thèse est une formule asymptotique pour le quatrième moment des fonct...
Il risultato principale di questa tesi è una formula asintotica per il momento quarto di funzioni a...
The asymptotic formula of the fourth moment of Dirichlet $L$-functions at the central value was pred...
Doctor of PhilosophyDepartment of MathematicsXiannan LiThe first chapter of this dissertation provid...
Doctor of PhilosophyDepartment of MathematicsXiannan LiThe first chapter of this dissertation provid...
This is the final version. Available on open access from Springer Verlag via the DOI in this recordW...
For a positive integer $q\not\equiv 2 \pmod 4$, this work considers the fourth moment of Dirichlet $...
We present in this dissertation several theorems on the subject of moments of automorphic L-function...
Individual values of L-functions inside the critical strip have great arithmetic significance (such ...
Spectral moment formulae of various shapes have proven to be very successful in studying the statist...
We investigate properties of prime numbers and L-functions, and interactions between these two topic...