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Displaying 61 – 80 of 204

Heckesche Systeme idealer Zahlen und Knesersche Körpererweiterungen

Toma Albu, Florin Nicolae (1995)

Acta Arithmetica

Einleitung. Eine klassische Konstruktion aus der algebraischen Zahlentheorie ist folgende: Zu jedem algebraischen Zahlkörper K kann man ein sogenanntes System idealer Zahlen S zuordnen, welches eine Untergruppe der multiplikativen Gruppe ℂ* der komplexen Zahlen ist derart, daß die Faktorgruppe S/K* in kanonischer Weise isomorph zu der Klassengruppe $C l_{K}$ von K ist. Diese Konstruktion geht auf Hecke [5] zurück und hat folgende wichtige Eigenschaft, die auch bei dem Hilbertschen Klassenkörper zu K vorkommt:...

Heegner cycles, modular forms and jacobi forms

Nils-Peter Skoruppa (1991)

Journal de théorie des nombres de Bordeaux

We give a geometric interpretation of an arithmetic rule to generate explicit formulas for the Fourier coefficients of elliptic modular forms and their associated Jacobi forms. We discuss applications of these formulas and derive as an example a criterion similar to Tunnel's criterion for a number to be a congruent number.

Heegner points and derivatives of L-series.

B.H. Gross, D.B. Zagier (1986)

Inventiones mathematicae

Heegner Points and Derivatives of L-Series. II.

D. Zagier, W. Kohnen, B. Gross (1987)

Mathematische Annalen

Heegner points and $L$ -series of automorphic cusp forms of Drinfeld type.

Tipp, Ulrich, Rück, Hans-Georg (2000)

Documenta Mathematica

Heegner points on modular curves.

A. Arenas, P. Bayer (2000)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Heegner Points on X ... (11)

Benedict H. GROSS (1981/1982)

Seminaire de Théorie des Nombres de Bordeaux

Height Functions for Groups of S-units of Number Fields and Reductions Modulo Prime Ideals

Stefan Barańczuk (2015)

Bulletin of the Polish Academy of Sciences. Mathematics

A result on the orders of the reductions of an element of the group of S-units of a number field is obtained by investigating three height functions for groups of S-units of number fields which are analogous to local, global and canonical height functions for elliptic curves.

Height pairings for algebraic cycles on abelian varieties

Klaus Künnemann (2001)

Annales scientifiques de l'École Normale Supérieure

Height pairings in families of deformations.

Andrew Plater (1997)

Journal für die reine und angewandte Mathematik

Height preserving linear transformations on semisimple K-algebras.

Valerio Talamanca (1997)

Collectanea Mathematica

Heights and reductions of semi-stable varieties

Shouwu Zhang (1996)

Compositio Mathematica

Heights and regulators of number fields and elliptic curves

Fabien Pazuki (2014)

Publications mathématiques de Besançon

We compare general inequalities between invariants of number fields and invariants of elliptic curves over number fields. On the number field side, we remark that there is only a finite number of non-CM number fields with bounded regulator. On the elliptic curve side, assuming the height conjecture of Lang and Silverman, we obtain a Northcott property for the regulator on the set of elliptic curves with dense rational points over a number field. This amounts to say that the arithmetic of CM fields...

Heights and the central critical values of triple product $L$ -functions

Benedict H. Gross, Stephen S. Kudla (1992)

Compositio Mathematica

Heights and totally p-adic numbers

Lukas Pottmeyer (2015)

Acta Arithmetica

We study the behavior of canonical height functions $h ̂_{f}$ , associated to rational maps f, on totally p-adic fields. In particular, we prove that there is a gap between zero and the next smallest value of $h ̂_{f}$ on the maximal totally p-adic field if the map f has at least one periodic point not contained in this field. As an application we prove that there is no infinite subset X in the compositum of all number fields of degree at most d such that f(X) = X for some non-linear polynomial f. This answers a...

Currently displaying 61 – 80 of 204

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Displaying 61 – 80 of 204

Heckesche Systeme idealer Zahlen und Knesersche Körpererweiterungen

Heegner cycles, modular forms and jacobi forms

Heegner points and derivatives of L-series.

Heegner Points and Derivatives of L-Series. II.

Heegner points and $L$ -series of automorphic cusp forms of Drinfeld type.

Heegner points on modular curves.

Heegner Points on X ... (11)

Height Functions for Groups of S-units of Number Fields and Reductions Modulo Prime Ideals

Height pairings for algebraic cycles on abelian varieties

Height pairings in families of deformations.

Height preserving linear transformations on semisimple K-algebras.

Heights and reductions of semi-stable varieties

Heights and regulators of number fields and elliptic curves

Heights and the central critical values of triple product $L$ -functions

Heights and totally p-adic numbers

Heights in finite projective space, and a problem on directed graphs.

Heights in number fields

Heights of algebraic points on subvarieties of abelian varieties

Heights of Heegner points on Shimura curves.

Heights of powers of Newman and Littlewood polynomials

Currently displaying 61 – 80 of 204