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Functional determinants, generalized btz geometries and selberg zeta function
(IOP PUBLISHING LTD, 2010)
On a paper of Dressler and Van de Lune
(Springer, 2020-11-19)
If z∈ C and 1 ≤ n is a natural number then ∑d1d2=n(1-zp1)⋯(1-zpm)zq1e1+⋯+qiei=1, where d1=p1r1⋯pmrm, d2=q1e1⋯qiei are the prime decompositions of d1, d2. This is one of the identities involving arithmetic functions that ...
A combinatorial identity and applications
(Unión Matemática Argentina, 2013-05-29)
An identity for the finite sum 1^N rac{z^n}{q^n-r} is given. Related sums (or series) were studied by Scherk, Clausen, Ramanujan, Shanks, Andrews and others. We use such identity to give new formulas for sum_1^infty ...
The Riemann zeta function and tate's thesis
La primera parte del documento abarca los temas clásicos sobre la función zeta de Riemann, principalmente lo que hoy en día se conoce como "Riemann's memoir". La segunda parte del documento da una introducción a la tesis ...
La función zeta de Riemann y su relación con otras funciones aritméticas
(Escuela Colombian de IngenieríaColombiaMatemáticas, 2023)
En este texto se estudiará la relación que tiene la función zeta de Riemann con funciones aritméticas,
para esto se usarán herramientas de la teoría de cuerpos, análisis complejos y teoría de números. La
primera parte ...
ZETA DETERMINANT FOR DOUBLE SEQUENCES OF SPECTRAL TYPE
(AMER MATHEMATICAL SOCPROVIDENCE, 2012)
We study the spectral functions, and in particular the zeta function, associated to a class of sequences of complex numbers, called of spectral type. We investigate the decomposability of the zeta function associated to a ...
Riemann Zeta Function Near the Critical Line
(Wolfram Demonstration Project, 2016)
Riemann Zeta Function Near the Critical Line
(Wolfram Demonstration Project, 2011)