On some solutions of a functional equation related to the partial sums of the Riemann zeta function

In this paper, we prove that infinite-dimensional vector spaces of α-dense curves are generated by means of the functional equations f(x)+f(2x)+⋯+f(nx)=0, with n≥2, which are related to the partial sums of the Riemann zeta function. These curves α-densify a large class of compact sets of the plane for arbitrary small α, extending the known result that this holds for the cases n=2,3. Finally, we prove the existence of a family of solutions of such functional equation which has the property of quadrature in the compact that densifies, that is, the product of the length of the curve by the nth power of the density approaches the Jordan content of the compact set which the curve densifies.

The Zeros of Riemann Zeta Partial Sums Yield Solutions to f(x) + f(2x) + · · · + f(nx) = 0

This paper proves that every zero of any n th , n ≥ 2, partial sum of the Riemann zeta function provides a vector space of basic solutions of the functional equation f(x)+f(2x)+⋯+f(nx)=0,x∈R . The continuity of the solutions depends on the sign of the real part of each zero.

A note on the real projection of the zeros of partial sums of Riemann zeta function

This paper proves that the real projection of each simple zero of any partial sum of the Riemann zeta function ζn(s):=∑nk=11ks,n>2 , is an accumulation point of the set {Res : ζ n (s) = 0}.

Computing the zeros of the partial sums of the Riemann zeta function

In this paper, we introduce a formula for the exact number of zeros of every partial sum of the Riemann zeta function inside infinitely many rectangles of the critical strips where they are situated.

Fast iterative solvers for Cahn-Hilliard problems

Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik, Dissertation, 2016

Lezioni di Geometria Algebrica : Geometria sopra una curva; superficie di Riemann, Integrali abeliani /

Errata slip inserted.

Riemann's method of integration: its extensions with an application.

Mode of access: Internet.

Parallel direct Poisson and biharmonic solvers /

"NSF - OCA - GJ-36936 - 000006."

Linear system solvers for parallel computers /

Includes bibliographical references.

Vorlesungen über Riemann's theorie der Abel'schen integrale /

Encuadernado con: Das Dirichlet'sche princip... Riemann'schen flächen y Theorie der Bessel'schen functionen.

Die partiellen Differential-Gleichungen der mathematischen Physid nach Riemann's Vorlesungen

Mode of access: Internet.

Elements of the theory of functions of a complex variable with especial reference to the methods of Riemann,

Translation of Elemente der Theorie der Funktionen einer complexen veränderlichen Grösse.

On Riemann's theory of algebraic functions and their integrals : a supplement to the usual treatises /

Photocopy. [Ithaca, N.Y. : Cornell University Libraries, 1977]--xii, 76 p. on [44] leaves ; 26 x 38 cm. fold. to 25 x 19 cm.

Ueber Riemann's Theorie der Algebraischen Functionen und ihrer Integrale : eine Ergänzung der Gewöhnlichen Darstellungen /

Includes bibliographical references.

Theorie der Prym'schen Funktionen erster ordnung im Anschluss an die Schöpfungen Riemann's

Mode of access: Internet.