DIOPHANTINE APPROXIMATION WITH ARITHMETIC FUNCTIONS, I

被引：0

作者：

Alkan, Emre ^{[1
]}

Ford, Kevin ^{[2
]}

Zaharescu, Alexandru ^{[2
]}

机构：

[1] Koc Univ, Dept Math, TR-34450 Istanbul, Turkey

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 361卷 / 05期

基金：

美国国家科学基金会;

关键词：

Diophantine approximation; additive functions; multiplicative functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：2263 / 2275

页数：13

共 50 条

[21] EFFECTIVE LOWER BOUND ON DIOPHANTINE APPROXIMATION OF ALGEBRAIC FUNCTIONS BY RATIONAL FUNCTIONS
OSGOOD, CF
MATHEMATIKA, 1973, 20 (39) : 4 - 15
[22] MONODROMY AND DIOPHANTINE APPROXIMATION FOR A NUMBER LINKED TO ELLIPTIC FUNCTIONS
HUTTNER, M
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 304 (12): : 315 - 318
[23] A quantitative Khintchine-Groshev theorem for S-arithmetic diophantine approximation
Han, Jiyoung
INDAGATIONES MATHEMATICAE-NEW SERIES, 2023, 34 (06): : 1355 - 1372
[24] Flows on S-arithmetic homogeneous spaces and applications to metric Diophantine approximation
Kleinbock, Dmitry
Tomanov, George
COMMENTARII MATHEMATICI HELVETICI, 2007, 82 (03) : 519 - 581
[25] Nonclassical Study on certain Diophantine Inequalities involving Multiplicative Arithmetic Functions
Boudaoud, Said
Bellaouar, Djamel
Boudaoud, Abdelmadjid
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2020, 14 (01): : 17 - 39
[26] Simultaneous approximation of reals by values of arithmetic functions
Wong, Erick B.
ANATOMY OF INTEGERS, 2008, 46 : 289 - 297
[27] INCOMPLETENESS OF DIOPHANTINE ARITHMETIC
GERMANO, GM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (03): : A380 - A380
[28] SIMULTANEOUS DIOPHANTINE APPROXIMATION FOR ALGEBRAIC-FUNCTIONS IN POSITIVE CHARACTERISTIC
DEMATHAN, B
MONATSHEFTE FUR MATHEMATIK, 1991, 111 (03): : 187 - 193
[29] On diophantine approximation
Hua, LK
COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1941, 32 : 395 - 396
[30] A diophantine equation appearing in diophantine approximation
Jin, Y
Schmidt, AL
INDAGATIONES MATHEMATICAE-NEW SERIES, 2001, 12 (04): : 477 - 482

← 1 2 3 4 5 →