This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After ...

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Euler Systems Karl Rubin One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of ...

Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analysis with important implications for number theory. The main ...

Thus, no matter whether the equation p = q+r+s fails because the left-hand side is less than the right or more, a book can be made against me. That's the Dutch book argument for additivity when the ...

Former Nvidia programmer Luke Durant used an unusual computer setup to discover a Mersenne prime that is — wait for it — 41 million digits long.

Prof. Dr. Eva Viehmann, investigator at Mathematics Münster, has been awarded the Gottfried Wilhelm Leibniz Prize 2024, the most highly endowed German research funding prize. The German Research ...

$\bullet$ Arithmetic of function fields. $\bullet$ Structure theory of Shimura varieties and their function field analogues. $\bullet$ $p$-adic Hodge theory. $\bullet ...

Research uncovers how P-stalk ribosomes regulate cytokine responses, driving immune evasion in tumors across multiple cancer ...