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Titlebook: Exploring the Riemann Zeta Function; 190 years from Riema Hugh Montgomery,Ashkan Nikeghbali,Michael Th. Rass Book 2017 Springer Internation

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Forschungsgruppe Konsum und VerhaltenWe prove a version of Bagchi’s Theorem and of Voronin’s Universality Theorem for the family of primitive cusp forms of weight 2 and prime level, and discuss under which conditions the argument will apply to a general reasonable family of automorphic .-functions.
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https://doi.org/10.1007/978-3-319-50950-1A Taniyama product for the Riemann zeta function is defined and an analogue of Mertens’ theorem is proved.
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The Temptation of the Exceptional Characters,We survey some of the history and results related to the topic of the title with an emphasis admittedly biased toward our joint works thereon.
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,On a Cubic Moment of Hardy’s Function with a Shift,An asymptotic formula for . is derived, where . is Hardy’s function. The cubic moment of .(.) is also discussed, and a mean value result is presented which supports the author’s conjecture that
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Friendship, Intimacy, and Humor,zeta function as a meromorphic function in the plane with a functional equation. Riemann is a very remarkable figure in the history of mathematics. The present article describes his career including the major mathematical highlights, and gives some discussion of his published and unpublished work on the zeta function.
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Hugh Montgomery,Ashkan Nikeghbali,Michael Th. RassIllustrates mathematical results and solves open problems in a simple manner.Features contributions by experts in analysis, number theory, and related fields.Contains new results in rapidly progressin
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