- Look up
automorphic or
automorphism in Wiktionary, the free dictionary.
Automorphic may
refer to
Automorphic number, in
mathematics Automorphic form, in...
- In
harmonic analysis and
number theory, an
automorphic form is a well-behaved
function from a
topological group G to the
complex numbers (or
complex vector...
- In mathematics, an
automorphic number (sometimes
referred to as a
circular number) is a
natural number in a
given number base b {\displaystyle b} whose...
- of
conjectures about connections between number theory, the
theory of
automorphic forms, and geometry. It was
proposed by
Robert Langlands (1967, 1970)...
- In mathematics, an
automorphic function is a
function on a
space that is
invariant under the
action of some group, in
other words a
function on the quotient...
- In mathematics, an
automorphic L-function is a
function L(s,π,r) of a
complex variable s, ****ociated to an
automorphic representation π of a reductive...
-
introduced by Petersson (1930), is a
generalization to
other modular forms or
automorphic forms. The
Riemann zeta
function and the
Dirichlet L-function satisfy...
- In mathematics, an
automorphic factor is a
certain type of
analytic function,
defined on
subgroups of SL(2,R),
appearing in the
theory of
modular forms...
-
Arithmetic Theory of
Automorphic Functions,
Princeton University Press, 1994. ISBN 0-691-08092-5 Gelbart, Stephen,
Automorphic Forms on
Adele Groups...
-
geometry over
finite fields with
number theory,
especially the
theory of
automorphic forms,
through the
notions of
elliptic module and the
theory of the geometric...