Mean-value theorems and extensions of the Elliott-Daboussi theorem on additive arithmetic semigroups

The Ramanujan Journal ◽

10.1007/s11139-007-9115-8 ◽

2007 ◽

Vol 15 (1) ◽

pp. 47-75

Author(s):

Wen-Bin Zhang

Keyword(s):

Additive Arithmetic ◽

Mean Value Theorems

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Mean-value theorems of multiplicative functions on additive arithmetic semigroups

Mathematische Zeitschrift ◽

10.1007/pl00004658 ◽

1998 ◽

Vol 229 (2) ◽

pp. 195-233 ◽

Author(s):

Wen-Bin Zhang

Keyword(s):

Additive Arithmetic ◽

Multiplicative Functions ◽

Mean Value Theorems

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Mean-value theorems of multiplicative functions on additive arithmetic semigroups

Mathematische Zeitschrift ◽

10.1007/s00209-004-0675-7 ◽

2004 ◽

Vol 248 (2) ◽

Author(s):

Wen-Bin Zhang

Keyword(s):

Additive Arithmetic ◽

Multiplicative Functions ◽

Mean Value Theorems

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Mean-Value Theorems for Multiplicative Functions on Additive Arithmetic Semigroups via Hal�sz's Method

Monatshefte für Mathematik ◽

10.1007/s00605-002-0503-2 ◽

2003 ◽

Vol 138 (4) ◽

pp. 319-353 ◽

Author(s):

Wen-Bin Zhang

Keyword(s):

Additive Arithmetic ◽

Multiplicative Functions ◽

Mean Value Theorems

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Mean Value Theorems and Linear Operators

American Mathematical Monthly ◽

10.2307/2306688 ◽

1955 ◽

Vol 62 (4) ◽

pp. 217 ◽

Author(s):

Philip Hartman ◽

Aurel Wintner

Keyword(s):

Linear Operators ◽

Mean Value Theorems

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Differentiation and completeness: Mean Value Theorems, Taylor's Theorem

Numbers and Functions ◽

10.1017/cbo9780511755248.012 ◽

2000 ◽

pp. 224-250

Keyword(s):

Mean Value Theorems

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A family of the Cauchy type mean-value theorems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.10.018 ◽

2005 ◽

Vol 306 (2) ◽

pp. 730-739 ◽

Author(s):

Josip E. Pečarić ◽

Ivan Perić ◽

H.M. Srivastava

Keyword(s):

Cauchy Type ◽

Mean Value Theorems

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Mean-Value Theorems for Primes in Short Intervals

Proceedings of the London Mathematical Society ◽

10.1112/plms/s3-37.2.230 ◽

1978 ◽

Vol s3-37 (2) ◽

pp. 230-242 ◽

Author(s):

S. J. Ricci

Keyword(s):

Mean Value Theorems ◽

Short Intervals

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Note on Mean-Value Theorems for the Riemann Zeta-Function

Journal of the London Mathematical Society ◽

10.1112/jlms/s1-10.1.136 ◽

1935 ◽

Vol s1-10 (2) ◽

pp. 136-138 ◽

Author(s):

H. Davenport

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Mean Value Theorems ◽

The Riemann Zeta Function ◽

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General Mean-Value Theorems

Number Theory Arising From Finite Fields ◽

10.1201/9780203908150.ch6 ◽

2001 ◽

Keyword(s):

Mean Value Theorems

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Mean Value Theorems

The Handbook of Integration ◽

10.1201/9781439865842-30 ◽

1992 ◽

pp. 99-101

Keyword(s):

Mean Value Theorems

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