We study sums over primes of trace functions of l-adic sheaves. Using an extension of our earlier results on algebraic twists of modular forms to the case of Eisenstein series and bounds for Type II sums based on similar applications of the Riemann hypothesis over finite fields, we prove general estimates with power saving for such sums. We then derive various concrete applications
In Part I [Automorphic forms, representation theory and arithmetic, Pap. Colloq., Bombay 1979, 303-3...
Let $\mathbb{F}_{q}$ be a finite field with characteristic $p$. A fundamental problem in number theo...
AbstractLet C be a smooth curve over R=O/plO, O being the valuation ring of an unramified extension ...
Abstract. We study sums over primes of trace functions of ℓ-adic sheaves. Using an extension of our ...
Abstract. We survey our recent works concerning applications to analytic number theory of trace func...
One contribution of 8 to a Theo Murphy meeting issue ‘Number fields and function fields: coalescence...
Abstract. In the analytic study of trace functions of `-adic sheaves over finite fields, a crucial i...
AbstractAn expression for the number of times a certain trace function associated with a Kloosterman...
Abstract. In the analytic study of trace functions of `-adic sheaves over finite fields, a crucial i...
We develop the notion of stratifiability in the context of derived categories and the six operations...
The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic...
AbstractLet p be a prime number, Qp the field of p-adic numbers, Qp a fixed algebraic closure of Qp,...
We introduce a new comparison principle for exponential sums over finite fields in order to study "s...
Let $\mathbb{F}_{q}$ be a finite field with characteristic $p$. A fundamental problem in number theo...
ii The classical Main Conjecture (MC) in Iwasawa Theory relates values of p-adic L-functions associa...
In Part I [Automorphic forms, representation theory and arithmetic, Pap. Colloq., Bombay 1979, 303-3...
Let $\mathbb{F}_{q}$ be a finite field with characteristic $p$. A fundamental problem in number theo...
AbstractLet C be a smooth curve over R=O/plO, O being the valuation ring of an unramified extension ...
Abstract. We study sums over primes of trace functions of ℓ-adic sheaves. Using an extension of our ...
Abstract. We survey our recent works concerning applications to analytic number theory of trace func...
One contribution of 8 to a Theo Murphy meeting issue ‘Number fields and function fields: coalescence...
Abstract. In the analytic study of trace functions of `-adic sheaves over finite fields, a crucial i...
AbstractAn expression for the number of times a certain trace function associated with a Kloosterman...
Abstract. In the analytic study of trace functions of `-adic sheaves over finite fields, a crucial i...
We develop the notion of stratifiability in the context of derived categories and the six operations...
The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic...
AbstractLet p be a prime number, Qp the field of p-adic numbers, Qp a fixed algebraic closure of Qp,...
We introduce a new comparison principle for exponential sums over finite fields in order to study "s...
Let $\mathbb{F}_{q}$ be a finite field with characteristic $p$. A fundamental problem in number theo...
ii The classical Main Conjecture (MC) in Iwasawa Theory relates values of p-adic L-functions associa...
In Part I [Automorphic forms, representation theory and arithmetic, Pap. Colloq., Bombay 1979, 303-3...
Let $\mathbb{F}_{q}$ be a finite field with characteristic $p$. A fundamental problem in number theo...
AbstractLet C be a smooth curve over R=O/plO, O being the valuation ring of an unramified extension ...
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