Ramon M. Nunes
Ramon M. Nunes
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Spectral Reciprocity via Integral Representations
We prove a spectral reciprocity formula for automorphic forms on $\mathrm{GL}(2)$ over a number field that is reminiscent of one found …
Ramon M. Nunes
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DOI
Strong Subconvexity for Self-Dual GL(3) L-Functions
In this paper, we prove strong subconvexity bounds for self-dual $\textrm{GL}(3)$ $L$-functions in the $t$-aspect and for …
Yongxiao Lin
,
Ramon Nunes
,
Zhi Qi
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DOI
Moments of the Distribution of Kk-Free Numbers in Short Intervals and Arithmetic Progressions
We show estimates for the distribution of kk-free numbers in short intervals and arithmetic progressions that, in certain ranges, agree …
Ramon M. Nunes
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DOI
The Twelfth Moment of Dirichlet L-functions with Smooth Moduli
We prove an analogue of Heath-Brown’s bound on the 12th moment of the Riemann zeta function for Dirichlet $L$-functions with …
Ramon M Nunes
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DOI
On Bourgain's bound for short exponential sums and squarefree numbers
We use Bourgain’s recent bound for short exponential sums to prove certain independence results related to the distribution of …
Ramon M. Nunes
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DOI
Squarefree Numbers in Arithmetic Progressions
We give asymptotics for correlation sums linked with the distribution of squarefree numbers in arithmetic progressions over a fixed …
Ramon M. Nunes
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DOI
Equidistribution problems of squarefree numbers
This thesis concerns a few problems linked with the distribution of squarefree integers in arithmetic progressions. Such problems are …
Ramon Moreira Nunes
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