Algebraic number theory
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Summary
It is shown that Im (Mz) = Im (z) |cz+d|2 for M = ( a b c d ) and that for M ∈ SL2(Z), the form Q|M corresponds to M−1z.
- Type
- article
- Published
- 1992-07-23
- Cited by
- 3,006
- References
- 221
- Access
- Open access
- OpenAlex
- https://openalex.org/W2184036715
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:117821128
Keywords
Mathematics, Algebraic number, Algebra over a field, Pure mathematics, Mathematical analysis
References
- Vorlesungen über die Theorie der algebraischen Zahlen
- Geometrie der Zahlen
- Lezioni sulla teoria dei numeri algebrici
- Exposition by Emil Artin: A Selection
- Theory of Algebraic Numbers : Notes by Gerhard Würges from lectures held at the Mathematisches Institut, Göttingen, Germany in the Winter Semester, 1956/7
- Algebraic Numbers and Algebraic Functions
- Sur la théorie des nombres entiers algébriques
- Advanced Number Theory
- Theory of algebraic numbers
- An Introduction to Analytic Number Theory
- Primes of the form x2 + ny2
- Theory Of Algebraic Integers
- On the computation of quadratic 2-class groups
- Li(p)-service? An algorithm for computing p-adic polylogarithms
- Elementary and Analytic Theory of Algebraic Numbers
- Algebraic Number Theory
- Introduction to analytic number theory
- A course in computational algebraic number theory
- Ideal class groups and torsion in Picard groups of varieties
- A classical invitation to algebraic numbers and class fields
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- Une minoration relative explicite pour la hauteur dans une extension d’une extension abélienne
- Average lang-trotter conjecture for 2 elliptic curves
- Arithmetic and geometry of the open p-adic disc
- Dynamics of projective morphisms having identical canonical heights
- Galois-Module Theory for Wildly Ramified Covers of Curves over Finite Fields (with an Appendix by Bernhard Köck and Adriano Marmora)
- Summation formulae and zeta functions
- Théorie géométrique des invariants et majorations de hauteurs
- On the Computation of the Norm-Euclidean Minimum of Algebraic Number Fields
- Lower bounds for heights in cyclotomic extensions and related problems
- Similarity classes of integral p‐adic matrices and representation zeta functions of groups of type A2
- Coincidence and similarity isometries of modules in Euclidean space
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