Results 61 to 70 of about 640,811 (318)
Decomposition formulas of zeta functions of graphs and digraphs [PDF]
, 2003 We give a decomposition formula of the zeta function of a regular covering of a graph G with respect to equivalence classes of prime, reduced cycles of G.
Sato, Iwao
core +1 more source
An arithmetic formula for certain coefficients of the Euler product of Hecke polynomials [PDF]
, 2004 In 1997 the author found a criterion for the Riemann hypothesis for the Riemann zeta function, involving the nonnegativity of certain coefficients associated with the Riemann zeta function. In 1999 Bombieri and Lagarias obtained an arithmetic formula for
Li, Xian-Jin
core +3 more sources
The Fourier transform of the non-trivial zeros of the zeta function
, 2017 The non-trivial zeros of the Riemann zeta function and the prime numbers can be plotted by a modified von Mangoldt function. The series of non-trivial zeta zeros and prime numbers can be given explicitly by superposition of harmonic waves.
Csoka, Levente
core +1 more source
Convexity properties of the normalized Steklov zeta function of a planar domain
, 2020 We consider the zeta function ζΩ\zeta_{\Omega} for the Dirichlet-to-Neumann operator of a simply connected planar domain Ω bounded by a smooth closed curve of perimeter 2π2\pi. We name the difference ζΩ-ζD\zeta_{\Omega}-\zeta_{\mathbb{D}} the normalized
A. Jollivet
semanticscholar +1 more source
The Connection between the Zeta function and Primes
, 2023 This paper derives a general formula for the cumulative sum of powered integerreciprocals with constant base and compares it with the formula for the logarithm of the Zeta function.
openaire +1 more source
Matrix model for Riemann zeta via its local factors
Nuclear Physics B, 2020 We propose the construction of an ensemble of unitary random matrices (UMM) for the Riemann zeta function. Our approach to this problem is ‘p-iecemeal’, in the sense that we consider each factor in the Euler product representation of the zeta function to
Arghya Chattopadhyay +3 more
doaj
A Derivation of π(n) Based on a Stability Analysis of the Riemann-Zeta Function [PDF]
, 2010 The prime-number counting function π(n), which is significant in the prime number theorem, is derived by analyzing the region of convergence of the real-part of the Riemann- Zeta function using the unilateral z-transform.
Haranas, Ioannis, Harney, Michael
core +1 more source
Molecular Oncology, EarlyView.There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes +20 more
wiley +1 more source
FEBS Open Bio, EarlyView.By using an electrical pulse stimulation (EPS)‐based in vitro exercise model and chemical activation/inhibition of mechanosensitive Piezo1 channels, we explored changes in protein synthetic response in cultured C2C12 myotubes. Our data showed that application of Piezo1 activator (Yoda1) during EPS significantly enhances the rate of protein synthesis in
Natalia A. Vilchinskaya +3 more
wiley +1 more source
A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres
, 2006 We construct an invariant J_M of integral homology spheres M with values in a completion \hat{Z[q]} of the polynomial ring Z[q] such that the evaluation at each root of unity \zeta gives the the SU(2) Witten-Reshetikhin-Turaev invariant \tau_\zeta(M) of ...
A. Kricker +67 more
core +2 more sources