The General Theory of Dirichlet Series

G. B. M.

doi:10.1038/096312a0

On strong Rieszian summability

Proceedings of the Glasgow Mathematical Association ◽

10.1017/s2040618500033578 ◽

1957 ◽

Vol 3 (3) ◽

pp. 123-131 ◽

Cited By ~ 7

Author(s):

Martin Glatfeld

Keyword(s):

General Theory ◽

Dirichlet Series ◽

Linear Method ◽

New Method ◽

Non Linear ◽

Specialized Form

Recently H.-E. Richert [10] introduced a new method of summability, for which he completely solved the “summability problem” for Dirichlet series, and which led also to an extension of our knowledge of the relations between the abscissae of ordinary and absolute Rieszian summability. This non-linear method, which may best be characterized by the notion “strong Rieszian summability” †, depends on three parameters, on the order k;, the type λ, and the index p;. While Richert's paper deals almost exclusively with the application of that method of summability in a specialized form (namely the case p = 2, λn=log n) to Dirichlet series, it is the object of the present paper, to consider the general theory of strong Rieszian summability.

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Erratum

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004100044315 ◽

1969 ◽

Vol 65 (1) ◽

pp. 369-369

Author(s):

S. L. Segal

Keyword(s):

General Theory ◽

Dirichlet Series

Mr K. A. Jukes has kindly pointed out that on page 398 line 21 and page 400 line 12 of my paper ‘Summability by Dirichlet Convolutions’, this journal 63 (1967), 393–400, Theorem 56 of Hardy and Riesz, The general theory of Dirichlet series, is misquoted.

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Extreme self-sacrifice beyond fusion: Moral expansiveness and the special case of allyship

Behavioral and Brain Sciences ◽

10.1017/s0140525x18001620 ◽

2018 ◽

Vol 41 ◽

Cited By ~ 2

Author(s):

Daniel Crimston ◽

Matthew J. Hornsey

Keyword(s):

General Theory ◽

Biological Markers ◽

Natural Environment ◽

Relevant Dimension ◽

Special Case

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.

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