On the ...-factor attached to motives.
On the finiteness of for motives associated to modular forms.
On the Fourier coefficients of modular forms. II.
On the generalized principal ideal theorem of complex multiplication
In the -th cyclotomic field a prime number, , the prime is totally ramified and the only ideal above is generated by , with the primitive -th root of unity . Moreover these numbers represent a norm coherent set, i.e. . It is the aim of this article to establish a similar result for the ray class field of conductor over an imaginary quadratic number field where is the power of a prime ideal in . Therefore the exponential function has to be replaced by a suitable elliptic function....
On the group orders of elliptic curves over finite fields
On the Hasse principle for Witt groups.
On the height constant for curves of genus two
On the height constant for curves of genus two, II
On the height of algebraic numbers with real conjugates
On the height of the Sylvester resultant.
On the heights of totally -adic numbers
Bombieri and Zannier established lower and upper bounds for the limit infimum of the Weil height in fields of totally -adic numbers and generalizations thereof. In this paper, we use potential theoretic techniques to generalize the upper bounds from their paper and, under the assumption of integrality, to improve slightly upon their bounds.
On the image of -adic Galois representations for abelian varieties of type I and II.
On the Iwasawa theory of CM elliptic curves at supersingular primes
On the leading terms of zeta isomorphisms and -adic -functions in non-commutative Iwasawa theory.
On the mappings of elliptic curves defined over into .
On the meromorphic continuation of degree two -functions.
On the modular curve . (Sur la courbe modulaire .)
On the modular curve . (Sur la courbe modulaire .)
On the Newton stratification
On the number of elliptic curves with CM cover large algebraic fields
Elliptic curves with CM unveil a new phenomenon in the theory of large algebraic fields. Rather than drawing a line between and or and they give an example where the line goes beween and and another one where the line goes between and .