Institut de Mathématiques de Marseille

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19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2018 · math.NTShow all

6 papers · 2 filters

math.NT2018★ 1 cited

Central morphisms and Cuspidal automorphic Representations

Jean-Pierre Labesse, Joachim Schwermer

Let $F$ be a global field. Let $G$ and $H$ be two connected reductive group defined over $F$ endowed with an $F$ -morphism $f : H \to G$ such that the induced morphism $H_{der…

math.NT2018

The $p$ -adic variation of the Gross-Kohnen-Zagier theorem

Matteo Longo, Marc-Hubert Nicole

We relate $p$ -adic families of Jacobi forms to Big Heegner points constructed by B. Howard, in the spirit of the Gross-Kohnen-Zagier theorem. We view this as a GL(2) instance of a…

math.NT2018★ 10 cited

Combinatorial identities and Titchmarsh's divisor problem for multiplicative functions

Sary Drappeau, Berke Topacogullari

Given a multiplicative function $f$ which is periodic over the primes, we obtain a full asymptotic expansion for the shifted convolution sum $\sum_{∣ h ∣ < n \leq x} f (n) τ (n - h)$ , where…

math.NT2018★ 5 cited

Familles de formes modulaires de Drinfeld pour le groupe général linéaire

Marc-Hubert Nicole, Giovanni Rosso

Let $F$ be a function field over $F_{q}$ , $A$ its ring of regular functions outside a place $\infty$ and $p$ a prime ideal of $A$ . First, we develop Hida theory f…

math.NT2018★ 5 cited

Sign changes of Kloosterman sums and exceptional characters

Sary Drappeau, James Maynard

We prove that the existence of exceptional real zeroes of Dirichlet $L$ -functions would lead to cancellations in the sum $\sum_{p\leq x} \Kl(1, p)$ of Kloosterman sums over primes,…

math.NT2018★ 12 cited

Lattices with exponentially large kissing numbers

Serge Vlăduţ

We construct a sequence of lattices ${L_{n_{i}} \subset R^{n_{i}}}$ for $n_{i} ⟶ \infty$ , with exponentially large kissing numbers, namely, $\log_2τ(L_{n_i})> 0.0338…