Arithmetic Fujita approximation

Arithmetic Fujita approximation

— We prove an arithmetic analogue of Fujita’s approximation theorem in Arakelov geometry, conjectured by Moriwaki, by using slope method and measures associated to R-filtrations. Résumé. — On démontre un analogue arithmétique du théorème d’approximation de Fujita en géométrie d’Arakelov — conjecturé par Moriwaki — par la méthode de pentes et les mesures associées aux R-filtrations.

SOCIÉTÉ MATHÉMATIQUE DE FRANCE quatrième série - tome 43 fascicule 4 juillet - août 2010 Huayi CHEN Arithmetic Fujita approximation

Combinational arithmetic systems for the approximation

The concepts of arithmetic building blocks (ABB) and combinational arithmetic (CA) nets as well as their applications have been previously reported in References 3, 4, and 5. The unique ABB, resulting from the efforts of minimizing the set of building blocks in Reference 3, is designed at the arithmetic level, employing the redundant signed-digit number system,2 and is to be implemented as one ...

Diophantine Approximation with Arithmetic Functions, Ii

We prove that real numbers can be well-approximated by the normalized Fourier coefficients of newforms.

Diophantine Approximation with Arithmetic Functions, I

We prove a strong simultaneous Diophantine approximation theorem for values of additive and multiplicative functions provided that the functions have certain regularity on the primes.