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Summability methods based on the Riemann Zeta function
Published 1988-01-01“…This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable. …”
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On the Mellin transforms of the fourth power of the Riemann zeta-function
Published 2023-09-01Get full text
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The sixth power moment of the Riemann zeta-function in the critical strip
Published 2001-12-01Get full text
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A multidimensional limit theorem for powers of the Riemann zeta-function
Published 1999-12-01Get full text
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The Mellin transform of the square of the Riemann zeta-function in the critical strip
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Exploring the q-Riemann zeta function and q-Bernoulli polynomials
Published 2005-01-01“…A new formula for the q-Riemann zeta function ζq(s) due to Kim in terms of nested series of ζq(n) is derived. …”
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On Value Distribution for the Mellin Transform of the Fourth Power of the Riemann Zeta Function
Published 2025-01-01Subjects: Get full text
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A limit theorem for the Riemann zeta-functions in the space of continuous functions
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Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function
Published 2025-01-01“… In 2017, Garunkštis, Laurinčikas and Macaitienė proved the discrete universality theorem for the Riemann zeta-function shifted by imaginary parts of nontrivial zeros of the Riemann zeta-function. …”
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Integral and Series Representations of Riemann's Zeta Function and Dirichlet's Eta Function and a Medley of Related Results
Published 2013-01-01“…Contour integral representations of Riemann's Zeta function and Dirichlet's Eta (alternating Zeta) function are presented and investigated. …”
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Theta function identities from optical neural network transformations
Published 1993-01-01Subjects: Get full text
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The general chain transform and self-reciprocal functions
Published 1985-01-01Subjects: Get full text
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Dirichlet summations and products over primes
Published 1993-01-01“…We derive new classes of infinite products taken over the primes, for example expressing ∏p(11−p−n)(1−p−m)−1 as an infinite produce of Riemann zeta functions, this product being taken over the set of rational numbers α/β geater than zero with a relatively prime to βζ(n)∏α,βζ(αm+βn)1/β.…”
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