Concernant la relation de distribution satisfaite par la fonction \(\phi\) associée à un réseau complexe. (On the distribution relation satisfied by the function \(\phi\) associated to a complex lattice)

DOI10.1007/BF01231186zbMath0729.11029OpenAlexW2048969749MaRDI QIDQ805661

Gilles F. Robert

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143784

zbMATH Keywords

elliptic functionscomplex latticefunctions with distribution relation

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Lattices and convex bodies (number-theoretic aspects) (11H06) Elliptic curves (14H52) Arithmetic algebraic geometry (Diophantine geometry) (11G99) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05)

Related Items (14)

GLOBAL UNITS MODULO ELLIPTIC UNITS AND IDEAL CLASS GROUPS ⋮ Product formulae on elliptic curves ⋮ The index of elliptic units in \(\mathbb Z_p\)-extensions. II ⋮ On the conjecture of Birch and Swinnerton-Dyer ⋮ On the two-variables main conjecture for extensions of imaginary quadratic fields ⋮ A comparison of elliptic units in certain prime power conductor cases ⋮ Indice des unités elliptiques dans les $\mathbb{Z}_p$-extensions ⋮ Kato's Euler system ⋮ \(p\)-adic \(L\)-functions and rational points on elliptic curves with complex multiplication ⋮ Amélioration d'une congruence pour certains éléments de Stickelberger quadratiques ⋮ Jacobi form and distribution formulas ⋮ Invariants and coinvariants of semilocal units modulo elliptic units ⋮ Construction of elliptic \(\mathfrak{p}\)-units ⋮ Elliptic units, indices and \(\mathbb Z_p\)-extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculus on arithmetic surfaces
• Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication
• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• Some applications of Kronecker's limit formulas
• Integrality Properties of the Values of Partial Zeta Functions
• Nombres de Hurwitz et unités elliptiques. Un critère de régularité pour les extensions abéliennes d'un corps quadratique imaginaire
• A simple proof of η(— 1/τ)= η(τ)√τ/i

This page was built for publication: Concernant la relation de distribution satisfaite par la fonction \(\phi\) associée à un réseau complexe. (On the distribution relation satisfied by the function \(\phi\) associated to a complex lattice)