Titlebook: Analytic Number Theory; Proceedings of a Con Bruce C. Berndt,Harold G. Diamond,Adolf Hildebrand Conference proceedings 1990 Birkhäuser Bost

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Discovering Mathematics with MapleThe question of the horizontal distribution of the zeros of derivatives of Riemann’s zeta-function is an interesting one in view of its connection with the Riemann Hypothesis.

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maudtin

Vector Spaces and Linear Mappings,We use the letter . to denote positive integers. Ω(.) is the number of prime factors in the factorization of ., counted with multiplicity.

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合乎习俗

Evaluations of Selberg Character Sums,The .-dimensional Selberg character sums .. (.) are evaluated for all . ≥ 0 when the character . is trivial or quadratic. Additional character sum evaluations related to integral formulas of Selberg are conjectured.

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Highbrow

Zeros of Derivatives Of the Riemann Zeta-Function Near the Critical Line,The question of the horizontal distribution of the zeros of derivatives of Riemann’s zeta-function is an interesting one in view of its connection with the Riemann Hypothesis.

Lament

On some Exponential Sums,Let . be a multiplicative function, and let α be an irrational number. In this paper we want to estimate the exponential sum .. If . is the constant multiplicative function 1 then trivially . in fact, the sum is bounded in this case.