Results 51 to 60 of about 106,424 (299)

Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH [PDF]

Mathematics of Computation, 2015
Followed referee's advice including changing ...
Loïc Grenié, Giuseppe Molteni
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Zeta functions and asymptotic additive bases with some unusual sets of primes [PDF]

The Ramanujan Journal, 2016
Fix $ \in(0,1]$, $ _0\in[0,1)$ and a real-valued function $\varepsilon(x)$ for which $\limsup_{x\to\infty}\varepsilon(x)\le 0$. For every set of primes ${\mathcal P}$ whose counting function $ _{\mathcal P}(x)$ satisfies an estimate of the form $$ _{\mathcal P}(x)= \, (x)+O\bigl(x^{ _0+\varepsilon(x)}\bigr),$$ we define a zeta function $ _ ...
William D. Banks
openalex   +5 more sources

Adelic amplitudes and intricacies of infinite products

Nuclear Physics B, 2023
For every prime number p it is possible to define a p-adic version of the Veneziano amplitude and its higher-point generalizations. Multiplying together the real amplitude with all its p-adic counterparts yields the adelic amplitude.
Christian Baadsgaard Jepsen
doaj   +1 more source

p-Adic open string amplitudes with Chan-Paton factors coupled to a constant B-field

Nuclear Physics B, 2020
We establish rigorously the regularization of the p-adic open string amplitudes, with Chan-Paton rules and a constant B-field, introduced by Ghoshal and Kawano.
H. García-Compeán, Edgar Y. López, W. A. Zúñiga-Galindo   +2 more
doaj   +1 more source

Factorization of number into prime numbers viewed as decay of particle into elementary particles conserving energy [PDF]

, 2008
Number theory is considered, by proposing quantum mechanical models and string-like models at zero and finite temperatures, where the factorization of number into prime numbers is viewed as the decay of particle into elementary particles conserving ...
Sugamoto, Akio
core   +1 more source

Computation of stagnation coating flow of electro-conductive ternary Williamson hybrid $$\mathrm{GO}-\mathrm{AU}-{\mathrm{Co}}_{3}{\mathrm{O}}_{4}/\mathrm{EO}$$ GO - AU - Co 3 O 4 / EO nanofluid with a Cattaneo–Christov heat flux model and magnetic induction

Scientific Reports, 2023
Modern smart coating systems are increasingly exploiting functional materials which combine multiple features including rheology, electromagnetic properties and nanotechnological capabilities and provide a range of advantages in diverse operations ...
K. Bhagya Swetha Latha, M. Gnaneswara Reddy, D. Tripathi, O. Anwar Bég, S. Kuharat, Hijaz Ahmad, Dilber Uzun Ozsahin, Sameh Askar   +7 more
doaj   +1 more source

Riemann zeta fractional derivative—functional equation and link with primes [PDF]

Advances in Difference Equations, 2019
Abstract This paper outlines further properties concerning the fractional derivative of the Riemann ζ function. The functional equation, computed by the introduction of the Grünwald–Letnikov fractional derivative, is rewritten in a simplified form that reduces the computational cost.
Emanuel Guariglia, Emanuel Guariglia
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Modified L-functions

Lietuvos Matematikos Rinkinys, 2008
The sequence of generalized prime numbers q0 = 1, qn = pkn+1 -1, n ∈ N, and the corresponding zeta-function Zk(s) = \prodp>2( 1 - (pk - 1)-s)-1 , s = σ + it, are analyzed.
Eugenijus Stankus
doaj   +1 more source

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

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