On the theory of Riemann's Integrals
H.F. Baker (1894)
Mathematische Annalen
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Displaying similar documents to “Fourier Analysis of Riemann Distributions and Explicit Formulas.”
On the theory of Riemann's Integrals
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Riemann-Roch Theorem for Locally Principal Orders.
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B.L. Fridman (1986)
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Bemerkung zu der Abhandlung On the theory of Riemann's Integrals" by H. F. Baker. Bd. 45, der Mathem. Annalen
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The Basic Existence Theorem of Riemann-Stieltjes Integral
Kazuhisa Nakasho, Keiko Narita, Yasunari Shidama (2016)
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In this article, the basic existence theorem of Riemann-Stieltjes integral is formalized. This theorem states that if f is a continuous function and ρ is a function of bounded variation in a closed interval of real line, f is Riemann-Stieltjes integrable with respect to ρ. In the first section, basic properties of real finite sequences are formalized as preliminaries. In the second section, we formalized the existence theorem of the Riemann-Stieltjes integral. These formalizations are...
Riemann-Stieltjes Integral
Keiko Narita, Kazuhisa Nakasho, Yasunari Shidama (2016)
Formalized Mathematics
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In this article, the definitions and basic properties of Riemann-Stieltjes integral are formalized in Mizar [1]. In the first section, we showed the preliminary definition. We proved also some properties of finite sequences of real numbers. In Sec. 2, we defined variation. Using the definition, we also defined bounded variation and total variation, and proved theorems about related properties. In Sec. 3, we defined Riemann-Stieltjes integral. Referring to the way of the article [7],...
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N. Paul Schembari, Michael Schramm (1990)
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On the Maximum Modulus Principle for the Tangential Cauchy-Riemann Equations.
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Riemann problem on the double of a multiply connected circular region
V. V. Mityushev (1997)
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The Riemann problem has been solved in [9] for an arbitrary closed Riemann surface in terms of the principal functionals. This paper is devoted to solution of the problem only for the double of a multiply connected region and can be treated as complementary to [9,1]. We obtain a complete solution of the Riemann problem in that particular case. The solution is given in analytic form by a Poincaré series.
Variation of the argument of the Riemann ξ function on vertical lines
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Note on Riemann's paper ? Versuch einer allgemeinen Auffassung der Integration und Differentiation" Werke pp. 331?344
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Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines
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Acta Arithmetica
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We show that the density functions of nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines are described by the M-function which appears in value distribution of the logarithmic derivative of the Riemann zeta-function on vertical lines.
A family of deformations of the Riemann xi-function
Masatoshi Suzuki (2013)
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We introduce a family of deformations of the Riemann xi-function endowed with two continuous parameters. We show that it has rich analytic structure and that its conjectural (mild) zero-free region for some fixed parameter is a sufficient condition for the Riemann hypothesis to hold for the Riemann zeta function.
Bordered Riemann Surfaces.
M. JURCHESCU (1961)
Mathematische Annalen
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