Hida theory for special orders

DOI10.1142/S1793042123500161WikidataQ114071758 ScholiaQ114071758MaRDI QIDQ5877884

Luca Dall'Ava

Publication date: 16 February 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.00559

zbMATH Keywords

quaternion algebrasHida familiescontrol theoremsHijikata-Pizer-Shemanske orders

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• The Shimura covering of a Shimura curve: automorphisms and étale subcoverings
• Congruences between modular forms and related modules
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
• An algorithm for computing modular forms on \(\Gamma_0(N)\)
• Newforms and functional equations
• Heegner points on Hijikata-Pizer-Shemanske curves and the Birch and Swinnerton-Dyer conjecture
• Arithmetic of Weil curves
• \(p\)-adic deformations of cohomology classes of subgroups of \(\text{GL}(N,\mathbb{Z})\)
• \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
• On zeta functions of quaternion algebras
• Approximations of the balanced triple product \(p\)-adic \(L\)-function
• A NOTE ON CONTROL THEOREMS FOR QUATERNIONIC HIDA FAMILIES OF MODULAR FORMS
• On rigid analytic uniformizations of Jacobians of Shimura curves
• Représentations cuspidales du groupe linéaire
• Iwasawa modules attached to congruences of cusp forms
• The basis problem for modular forms on Γ₀(𝑁)
• Hida families and p-adic triple product L-functions
• The action of the canonical involution on modular forms of weight 2 on \(\Gamma_0(M)\)
• Modular Forms

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