Mathematical journal
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A mathematical journal is a scientific journal which publishes exclusively mathematical papers. One of the best definitions of the current state of mathematics, as a research field, is that it consists of theorems with proofs published in a reputable mathematical journal, and which have passed through the process of peer review called refereeing. A relatively small proportion of mathematical papers concerned with pure mathematics are published through more general, science-based learned journals. Applied mathematics may be published in publications more oriented towards engineering. Theoretical computer science has a journal literature now more comparable to that of mathematics.
Some of the most prestigious journals in pure mathematics are Annals of Mathematics, Publications Mathématiques de l'IHÉS, Journal of the American Mathematical Society, and Inventiones Mathematicae.