Cross, The Euler Phi-function...

The Euler -Function in the Gaussian IntegersAuthor(s): James T. CrossSource: The American Mathematical Monthly, Vol. 90, No. 8 (Oct., 1983), pp. 518-528Published by: Mathematical Association of AmericaStable URL: http://www.jstor.org/stable/2322785Accessed: 09/11/2009 01:48

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Issue Table of ContentsThe American Mathematical Monthly, Vol. 90, No. 8 (Oct., 1983), pp. 505-546+C89-C100+547-582Front MatterThe Quarterly Reports of S. Ramanujan [pp. 505-516]Miscellanea [p. 516][Photos] [pp. 517+570]The Euler -Function in the Gaussian Integers [pp. 518-528]Generic Geometry [pp. 529-545]The William Lowell Putnam Mathematical Competition [pp. 546-553]Center SectionTelegraphic Reviews [pp. C89-C94]Section Reports [pp. C95-C100]

Progress ReportsManifolds with the Same Spectrum [pp. 553-555]

NotesCharacterization of Smooth Domains in C by Their Biholomorphic Self-Maps [pp. 555-557]The Sequence of Derivatives of a C Function [pp. 557-560]An Inequality for Variations [p. 560]Measure, Category, and the Sums of Sets [pp. 561-562]

The Teaching of MathematicsSerendipity in Mathematics or How One is Led to Discover that 1 3 5 (2n - 1/n2 n! = 1/2 + 3/16 + 15144 + = ln4 [pp. 562-566]

Problems and SolutionsElementary Problems: E3013-E3018 [pp. 566-567]Solutions of Elementary ProblemsE2910 [p. 567]E2912 [pp. 568-569]E2915 [p. 569]

Advanced Problems: 6439-6441 [p. 569]Solutions of Advanced Problems6367 [p. 570]6370 [p. 571]6373 [pp. 571-572]6375 [p. 572]6376 [p. 573]6378 [p. 573]

ReviewsReview: untitled [pp. 574-575]Review: untitled [pp. 575-576]Review: untitled [pp. 576-579]Review: untitled [pp. 579-580]

Letters to the Editor [pp. 581-582]Miscellanea: Where Have All the Residents Gone? Gone to Infinity Every One. [p. 582]Back Matter