Results 121 to 130 of about 1,298,002 (233)
The Diophantine equation $x^4 + y^4 = 1$ in algebraic number fields [PDF]
, 1968 L. J. Mordell
openalex +1 more source
Oscillatory integrals with phases arising from algebraic number fields [PDF]
arXivWe develop a theory of oscillatory integrals whose phase is given by the trace of a polynomial over an algebraic number field. We present an application to the singular integral for a version of Tarry's problem for algebraic integers.
arxiv
Algebraic Differential Characters [PDF]
arXiv, 1996 We give a construction of algebraic differential characters, receiving classes of algebraic bundles with connection, lifitng the Chern-Simons invariants defined with S. Bloch, the classes in the Chow group and the analytic secondary invariants if the variety is defined over the field of complex numbers.
arxiv
On finite arithmetic groups [PDF]
International Journal of Group Theory, 2013 Let $F$ be a finite extension of $Bbb Q$, ${Bbb Q}_p$ or a globalfield of positive characteristic, and let $E/F$ be a Galois extension.We study the realization fields offinite subgroups $G$ of $GL_n(E)$ stable under the naturaloperation of the Galois ...
Dmitry Malinin
doaj
Character Sums in Algebraic Number Fields
Journal of Number Theory, 1994 AbstractPeriodic arithmetical functions in algebraic number fields are investigated in regard to their average order. In particular, a new inequality of Pólya-Vinogradov type for character sums is obtained.
openaire +2 more sources
On the genera of quadratic and hermitian forms over an algebraic number field [PDF]
, 1963 Vidit Nanda
openalex +1 more source
Galois Cohomology and Class Number in Constant Extension of Algebraic Function Fields [PDF]
, 1969 James R. C. Leitzel
openalex +1 more source
waring's problem for algebraic number fields and primes of the form $(p^{r} - 1)/(p^{r} - 1)$ [PDF]
, 1962 Paul T. Bateman, Rosemarie M. Stemmler
openalex +1 more source
Inequalities for ideal bases in algebraic number fields [PDF]
, 1964 K. Mahler
openalex +1 more source