1,291 research outputs found
On some p-adic power series attached to the arithmetic of
In this paper, we prove that the derivative of the Iwasawa power series
associated to p-adic L-functions of are not divisible by
p. This extends previous results obtained by Ferrero and Washington in 1979
On the p-adic Leopoldt Transform of a power series
In this paper we give a bound for the Iwasawa lambda invariant of an abelian
number field attached to the cyclotomic Z_p-extension of that field. We also
give some properties of Iwaswa power series attached to p-adic L-functions
On L-functions of cyclotomic function fields
We study two criterions of cyclicity for divisor class groups of functions
fields, the first one involves Artin L-functions and the second one involves
"affine" class groups. We show that, in general, these two criterions are not
linked
Universal Gauss-Thakur sums and L-series
In this paper we study the behavior of the function omega of Anderson-Thakur
evaluated at the elements of the algebraic closure of the finite field with q
elements F_q. Indeed, this function has quite a remarkable relation to explicit
class field theory for the field K=F_q(T). We will see that these values,
together with the values of its divided derivatives, generate the maximal
abelian extension of K which is tamely ramified at infinity. We will also see
that omega is, in a way that we will explain in detail, an universal
Gauss-Thakur sum. We will then use these results to show the existence of
functional relations for a class of L-series introduced by the second author.
Our results will be finally applied to obtain a new class of congruences for
Bernoulli-Carlitz fractions, and an analytic conjecture is stated, implying an
interesting behavior of such fractions modulo prime ideals of A=F_q[T].Comment: Corrected several typos and an error in the proof of Proposition 21
Section 3. Improved the general presentation of the pape
On the linear independence of p-adic L-functions modulo p
Inspired by Warren Sinnott 's method we prove a linear independence result
modulo p for the Iwasawa power series associated to Kubota-Leopoldt p-adic
L-functions
The Spectrum of the two dimensional Hubbard model at low filling
Using group theoretical and numerical methods we have calculated the exact
energy spectrum of the two-dimensional Hubbard model on square lattices with
four electrons for a wide range of the interaction strength. All known
symmetries, i.e.\ the full space group symmetry, the SU(2) spin symmetry, and,
in case of a bipartite lattice, the SU(2) pseudospin symmetry, have been taken
explicitly into account. But, quite remarkably, a large amount of residual
degeneracies remains giving strong evidence for the existence of a yet unknown
symmetry. The level spacing distribution and the spectral rigidity are found to
be in close to but not exact agreement with random matrix theory. In contrast,
the level velocity correlation function presents an unexpected exponential
decay qualitatively different from random matrix behavior.Comment: 4 pages, latex (revtex), 3 uuencoded postscript figure
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