Results 11 to 20 of about 67,078 (181)

Variants on Andrica’s Conjecture with and without the Riemann Hypothesis

Mathematics, 2018
The gap between what we can explicitly prove regarding the distribution of primes and what we suspect regarding the distribution of primes is enormous. It is (reasonably) well-known that the Riemann hypothesis is not sufficient to prove Andrica’s ...
Matt Visser
doaj   +3 more sources

Remarks on the Connection of the Riemann Hypothesis to Self-Approximation

Computation
By the Bagchi theorem, the Riemann hypothesis (all non-trivial zeros lie on the critical line) is equivalent to the self-approximation of the function ζ(s) by shifts ζ(s+iτ).
Antanas Laurinčikas
doaj   +3 more sources

Riemann hypothesis for period polynomials of modular forms. [PDF]

Proc Natl Acad Sci U S A, 2016
Jin S, Ma W, Ono K, Soundararajan K.
europepmc   +2 more sources

The Riemann hypothesis and tachyonic off-shell string scattering amplitudes

European Physical Journal C: Particles and Fields, 2022
The study of the $$\mathbf{4}$$ 4 -tachyon off-shell string scattering amplitude $$ A_4 (s, t, u) $$ A 4 ( s , t , u ) , based on Witten’s open string field theory, reveals the existence of poles in the s-channel and associated to a continuum of complex “
Carlos Castro Perelman
doaj   +1 more source

Do Sojourn Effects on Personality Trait Changes Last? A Five‐Year Longitudinal Study

European Journal of Personality, EarlyView., 2020
Abstract This study examined sojourners' long‐term personality trait changes over five years, extending previous research on immediate sojourn effects. A sample of German students (N = 1095) was surveyed thrice (T1–T3) over the course of an academic year.
Julia Richter, Julia Zimmermann, Franz J. Neyer, Christian Kandler, Mitja Back   +4 more
wiley   +1 more source

Toward the Unification of Physics and Number Theory [PDF]

Reports in Advances of Physical Sciences, 2019
This paper introduces the notion of simplex-integers and shows how, in contrast to digital numbers, they are the most powerful numerical symbols that implicitly express the information of an integer and its set theoretic substructure.
Klee Irwin
doaj   +1 more source

Who Knows Best What the Next Year Will Hold for You? The Validity of Direct and Personality‐based Predictions of Future Life Experiences Across Different Perceivers

European Journal of Personality, EarlyView., 2020
Abstract This study explored the validity of person judgements by targets and their acquaintances (‘informants’) in longitudinally predicting a broad range of psychologically meaningful life experiences. Judgements were gathered from four sources (targets, N = 189; and three types of informants, N = 1352), and their relative predictive validity was ...
Nele M. Wessels, Johannes Zimmermann, Daniel Leising, Jan‐Erik Lönnqvist   +3 more
wiley   +1 more source

The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation

Journal of Nigerian Society of Physical Sciences, 2022
The analysis of the derivation of the Riemann Analytic Continuation Formula from Euler’s Quadratic Equation is presented in this paper. The connections between the roots of Euler’s quadratic equation and the Analytic Continuation Formula of the Riemann ...
Opeyemi O. Enoch, Adejimi A. Adeniji, Lukman O. Salaudeen   +2 more
doaj   +1 more source

Supersymmetry and the Riemann zeros on the critical line

Physics Letters B, 2019
We propose a new way of studying the Riemann zeros on the critical line using ideas from supersymmetry. Namely, we construct a supersymmetric quantum mechanical model whose energy eigenvalues correspond to the Riemann zeta function in the strip ...
Ashok Das, Pushpa Kalauni
doaj   +1 more source

A lattice gas of prime numbers and the Riemann Hypothesis [PDF]

, 2013
In recent years, there has been some interest in applying ideas and methods taken from Physics in order to approach several challenging mathematical problems, particularly the Riemann Hypothesis.
Vericat, Fernando
core   +3 more sources