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山中 卓 (大阪大学 大学院理学研究科 物理学専攻)先生が作成された科研費LaTeXを、坂東 慶太 (名古屋学院大学) が了承を得てテンプレート登録しています。 詳細はこちら↓をご確認ください。 http://osksn2.hep.sci.osaka-u.ac.jp/~taku/kakenhiLaTeX/

In this paper, we do exactly what the title implies: prove the Čebotarev Density Theorem. This is an extremely valuable theorem because it is a vast generalization of Dirichlet's Theorem on primes in an arithmetic progression. Our theorem goes even further to the case of other number fields; we will show that the prime ideals in an imaginary quadratic field K are virtually equidistributed among the conjugacy classes of Artin symbols in the Galois group of a Galois extension L over K. Note that L need not be abelian over K!

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This thesis looks at motivational forces between work, development and responsibility. Especially the factors self-actualization and altruism. A narrative literature review is combined with a survey study to identify related findings and trends in literature and how these match the contemporary society and people's beliefs. It is found that the economic view of man as being uttermost selfish, is reflected in peoples' views of work-motivation, and even in people's view of 'the will to help'. However, this view of man cannot be motivated by recent psychological findings, and neither is it as visible when asking survey-participants more self-reflecting questions. The conclusion is that altruism is, for some reason, hidden away, but is an intrinsic part of human motivation. It is also hypothesized that a society which guarantees every citizen a basic salary, or other types of basic rights, with no counter performance required in return, can use higher motivational needs such as self-actualization and altruism to motivate a more prosocial and more creative work-force. \emph{keywords: altruism, motivation, volunteering, effectivity, responsibility}

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