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Various topics on Bernoulli numbers and zeta functions. The purpose is to introduce readers to the elementary theories of Bernoulli numbers and zeta functions and to present several specific topics rather independent with each other. This is not a monograph, nor lecture notes. This may be used as a textbook but we do not expect systematic reading from the beginning till the end. This is rather a book of surveys on independent topics related to Bernoulli numbers and zeta functions. Also, the book contains numerous number theoretical formulas concerning Bernoulli numbers.