Appendix: A refinement of the strong multiplicity one theorem for \(GL(2)\)

DOI10.1007/BF01231576zbMath0823.11021MaRDI QIDQ1320064

Dinakar Ramakrishnan

Publication date: 6 November 1995

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

Full work available at URL: https://eudml.org/doc/144203

zbMATH Keywords

Rankin-Selberg \(L\)-functionautomorphic representations

Mathematics Subject Classification ID

Automorphic forms, one variable (11F12) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

Further refinement of strong multiplicity one for GL(2) ⋮ A refinement of strong multiplicity one for spectra of hyperbolic manifolds ⋮ Comparing Hecke eigenvalues of newforms ⋮ Distinguishing newforms by the prime divisors of their Fourier coefficients ⋮ Newform theory for Hilbert Eisenstein series ⋮ On strong multiplicity one for automorphic representations. ⋮ A mild Tchebotarev theorem for GL\((n)\) ⋮ Separators of Siegel modular forms of degree two ⋮ On some applications of automorphic forms to number theory ⋮ Congruence module for \(\text{GL}(2)\) of an imaginary quadratic field and Iwasawa theory of biquadratic CM field ⋮ Paramodular abelian varieties of odd conductor ⋮ Matching densities for Galois representations ⋮ Distinguishing newforms by their Hecke eigenvalues ⋮ The Fourier coefficients of Eisenstein series newforms ⋮ Comparing Hecke coefficients of automorphic representations ⋮ On an elliptic curve defined over $\mathbb {Q}(\sqrt {-23})$ ⋮ A conjectural refinement of strong multiplicity one for GL(n) ⋮ Resonances and \(\Omega\)-results for exponential sums related to Maass forms for \(\mathrm{SL}(n, \mathbb{Z})\) ⋮ The sign changes of Fourier coefficients of Eisenstein series ⋮ \(l\)-adic representations associated to modular forms over imaginary quadratic fields. II

Cites Work

• Unnamed Item
• Unnamed Item
• On the Ramanujan conjecture and finiteness of poles for certain \(L\)-functions
• Quelques applications du théorème de densité de Chebotarev
• Automorphic forms on \(\mathrm{GL}(2)\). Part II
• Analytic Proof of the Strong Multiplicity One Theorem
• On Certain L-Functions
• On Euler Products and the Classification of Automorphic Representations I
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$