58 citations · 144 across the 19 of their papers we have counts for
21 papers
On twisted period functions and Moments of a weighted mean square of Dirichlet L-functions on the critical line
Sebastien Darses, Berend Ringeling, Emmanuel Royer
We extend to Dirichlet L-functions associated with arbitrary primitive characters a range of objects and properties -- including Eisenstein series and period functions -- that were…
A large sieve inequality of Elliott--Montgomery--Vaughan type for Maass forms on GL(n,R) with applications
Yuk-Kam Lau, Ming Ho Ng, Emmanuel Royer +1
In this paper, we establish a large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms on GL(n, R) and explore three applications.
Kloosterman paths of prime powers moduli, II
Guillaume Ricotta, Emmanuel Royer, Igor Shparlinski
G. Ricotta and E. Royer (2018) have recently proved that the polygonal paths joining the partial sums of the normalized classical Kloosterman sums $S(a,b;p^n)/p^(n/2) converge in l…
Formal deformations of the algebra of Jacobi forms and Rankin-Cohen brackets
Youngju Choie, François Dumas, François Martin +1
This work is devoted to the algebraic and arithmetic properties of Rankin-Cohen brackets allowing to define and study them in several natural situations of number theory. It focuse…
Kloosterman paths of prime powers moduli
Guillaume Ricotta, Emmanuel Royer
Emmanuel Kowalski and William Sawin proved, using a deep independence result of Kloosterman sheaves, that the polygonal paths joining the partial sums of the normalized classical K…
Sign changes of fourier coefficients of modular forms of half integral weight, 2
Yujiao Jiang, Yuk-Kam Lau, Guangshi Lü +2
In this paper, we investigate the sign changes of Fourier coefficients of half-integral weight Hecke eigenforms and give two quantitative results on the number of sign changes.