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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4 papers · 2 filters

math.NT2019★ 2 cited

$Λ$ -adic Families of Jacobi Forms

Matteo Longo, Marc-Hubert Nicole

We show that Hida's families of $p$ -adic elliptic modular forms generalize to $p$ -adic families of Jacobi forms. We also construct $p$ -adic versions of theta lifts from elliptic mo…

math.NT2019★ 8 cited

Partial sums of the cotangent function

Sandro Bettin, Sary Drappeau

Nous prouvons l'existence de formules de réciprocité pour des sommes de la forme $\sum_{m = 1}^{k - 1} f (\frac{m}{k}) cot (π \frac{mh}{k})$ , où $f$ est une fonction $C^{1}$ par morceaux, qui…

math.NT2019

Diophantine approximation with nonsingular integral transformations

S. G. Dani, Arnaldo Nogueira

Let $Γ$ be the multiplicative semigroup of all $n \times n$ matrices with integral entries and positive determinant. Let $1 \leq p \leq n - 1$ and $V = R^{n} \oplus \dots \oplus R^{n}$ ($p…

math.NT2019

Limit laws for rational continued fractions and value distribution of quantum modular forms

Sandro Bettin, Sary Drappeau

We study the limiting distributions of Birkhoff sums of a large class of cost functions (observables) evaluated along orbits, under the Gauss map, of rational numbers in $(0, 1]$ or…

Λ-adic Families of Jacobi Forms

Partial sums of the cotangent function

Diophantine approximation with nonsingular integral transformations

Limit laws for rational continued fractions and value distribution of quantum modular forms

$Λ$ -adic Families of Jacobi Forms