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Displaying 541 – 560 of 1340

The intersection of a curve with algebraic subgroups in a product of elliptic curves

Evelina Viada (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We consider an irreducible curve $𝒞$ in $E^{n}$ , where $E$ is an elliptic curve and $𝒞$ and $E$ are both defined over $\bar{ℚ}$ . Assuming that $𝒞$ is not contained in any translate of a proper algebraic subgroup of $E^{n}$ , we show that the points of the union $⋃ 𝒞 \cap A (\bar{ℚ})$ , where $A$ ranges over all proper algebraic subgroups of $E^{n}$ , form a set of bounded canonical height. Furthermore, if $E$ has Complex Multiplication then the set $⋃ 𝒞 \cap A (\bar{ℚ})$ , for $A$ ranging over all algebraic subgroups of $E^{n}$ of codimension at least $2$ , is finite. If $E$ has no Complex Multiplication...

The intersection of recurrence sequences

Hans Peter Schlickewei, Wolfgang M. Schmidt (1995)

Acta Arithmetica

The intersection theorem for orderings of higher level in rings.

Ralph Berr (1992)

Manuscripta mathematica

The intrinsic Hodge theory of $p$ -adic hyperbolic curves.

Mochizuki, Shinichi (1998)

Documenta Mathematica

The inverse Galois problem and rational points on moduli spaces.

Michael D. Fried, Helmut Völklein (1991)

Mathematische Annalen

The inverse of the Pascal lower triangular matrix modulo $p$ .

Imani, A., Moghaddamfar, A.R. (2010)

Acta Mathematica Universitatis Comenianae. New Series

The inverse of the star-discrepancy depends linearly on the dimension

Stefan Heinrich, Henryk Woźniakowski, Grzegorz W. Wasilkowski, Erich Novak (2001)

Acta Arithmetica

The inverse problem for representation functions for general linear forms.

Hegarty, Peter (2008)

Integers

The irrationality of some number theoretical series

Jan-Christoph Schlage-Puchta (2007)

Acta Arithmetica

The irreducibility of compositions of linear polynomials over a finite field

S. D. Cohen (1982)

Compositio Mathematica

The Irregularities of Hirzebruch's Examples of Surfaces of General Type with c21= 3c2 .

Masa-Nori Ishida (1983)

Mathematische Annalen

The iterated Carmichael λ-function and the number of cycles of the power generator

Greg Martin, Carl Pomerance (2005)

Acta Arithmetica

The Iwasawa invariants and the higher $K$ -groups associated to real quadratic fields.

Sumida-Takahashi, Hiroki (2005)

Experimental Mathematics

The Iwasawa λ-invariants of ℤₚ-extensions of real quadratic fields

Takashi Fukuda, Hisao Taya (1995)

Acta Arithmetica

1. Introduction. Let k be a totally real number field. Let p be a fixed prime number and ℤₚ the ring of all p-adic integers. We denote by λ=λₚ(k), μ=μₚ(k) and ν=νₚ(k) the Iwasawa invariants of the cyclotomic ℤₚ-extension $k_{\infty}$ of k for p (cf. [10]). Then Greenberg’s conjecture states that both λₚ(k) and μₚ(k) always vanish (cf. [8]). In other words, the order of the p-primary part of the ideal class group of kₙ remains bounded as n tends to infinity, where kₙ is the nth layer of $k_{\infty} / k$ . We know by the Ferrero-Washington...

The Jacobi Sums of Orders Thirteen and Sixty and Related Quadratic Decompositions.

Yun-Cheng Zee (1970)

Mathematische Zeitschrift

The Jacobi-Perron Algorithm and Pisot numbers

Eugène Dubois, Ahmed Farhane, Roger Paysant-Le Roux (2004)

Acta Arithmetica

The joint distribution of additive and complex-valued multiplicative functions

Antanas Laurinčikas (2005)

Acta Mathematica Universitatis Ostraviensis

In the paper the necessary and sufficient conditions for the existence of joint limit distribution for real additive and complex-valued multiplicative function are presented.

The joint distribution of $Q$ -additive functions on polynomials over finite fields

Michael Drmota, Georg Gutenbrunner (2005)

Journal de Théorie des Nombres de Bordeaux

Let $K$ be a finite field and $Q \in K [T]$ a polynomial of positive degree. A function $f$ on $K [T]$ is called (completely) $Q$ -additive if $f (A + B Q) = f (A) + f (B)$ , where $A, B \in K [T]$ and $deg (A) < deg (Q)$ . We prove that the values $(f_{1} (A), ..., f_{d} (A))$ are asymptotically equidistributed on the (finite) image set ${(f_{1} (A), ...,$ $f_{d} ...$

The joint distribution of q-additive functions

Michael Drmota (2001)

Acta Arithmetica

The joint distribution of the binary digits of integer multiples

Johannes Schmid (1984)

Acta Arithmetica

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