HAEMONIC ANALYSIS ON THE POSITIVE RATIONALS. DETERMINATION OF THE GROUP GENERATED BY THE RATIOS (an plus b)/(An plus B)

被引：5

作者：

Elliott, P. D. T. A. ^{[1
]}

Kish, Jonathan ^{[2
]}

机构：

[1] Univ Colorado Boulder, Dept Math, Boulder, CO 80309 USA

[2] Univ Colorado Boulder, Dept Appl Math, Boulder, CO 80309 USA

来源：

关键词：

ADDITIVE ARITHMETIC FUNCTIONS; SHIFTED PRIMES; MULTIPLICATIVE FUNCTIONS; PROGRESSIONS;

D O I：

10.1112/S0025579317000304

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The multiplicative group generated by a certain sequence of rationals is determined, settling a 30-year conjecture.

引用

页码：919 / 943

页数：25

共 25 条

[1] On products of shifted primes [J].

Berrizbeitia, P ;

Elliott, PDTA .

[2]

BRITTON JL, 1956, P GLASGOW MATH ASSOC, V3, P45

[3]

Dress F., 1978, C R ACAD SCI PARIS A, V287, pA43

[4]

Elliott P., 1990, PROGR MATH, V81, P63

Elliott, P. D. T. A. .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2010, 642 :57-108

[6]

Elliott P. D. T. A., 1974, ACTA ARITH, VXXVI, P11

[7]

Elliott P D T A, 1997, CAMBRIDGE TRACTS MAT, V122

[8]

Elliott P.D.T.A, 1985, GRUNDLEHREN MATH WIS, V272

[9]

Elliott P.D.T.A., 1992, NOTAS SOC MAT CHILE, V11, P1

[10] MULTIPLICATIVE FUNCTIONS ON ARITHMETIC PROGRESSIONS [J].

ELLIOTT, PDTA .