منابع مشابه
Generalized Riemann Hypothesis
(Generalized) Riemann Hypothesis (that all non-trivial zeros of the (Dirichlet L-function) zeta function have real part one-half) is arguably the most important unsolved problem in contemporary mathematics due to its deep relation to the fundamental building blocks of the integers, the primes. The proof of the Riemann hypothesis will immediately verify a slew of dependent theorems ([BRW], [SA])...
متن کاملThe Riemann Hypothesis
Associated to classical semi-simple groups and their maximal parabolics are genuine zeta functions. Naturally related to Riemann’s zeta and governed by symmetries, including that of Weyl, these zetas are expected to satisfy the Riemann hypothesis. For simplicity, G here denotes a classical semi-simple algebraic group defined over the field Q of rationals. With a fixed Borel, as usual, ∆0 stands...
متن کاملYet Another Riemann Hypothesis
This short note presents a peculiar generalization of the Riemann hypothesis, as the action of the permutation group on the elements of continued fractions. The problem is di cult to attack through traditional analytic techniques, and thus this note focuses on providing a numerical survey. These results indicate a broad class of previously unexamined functions may obey the Riemann hypothesis in...
متن کاملThe Riemann Hypothesis
with s = 12 + it, and shows that ξ(t) is an even entire function of t whose zeros have imaginary part between −i/2 and i/2. He further states, sketching a proof, that in the range between 0 and T the function ξ(t) has about (T/2π) log(T/2π) − T/2π zeros. Riemann then continues “Man findet nun in der That etwa so viel reelle Wurzeln innerhalb dieser Grenzen, und es ist sehr wahrscheinlich, dass ...
متن کاملProof of Riemann Hypothesis
Hilbert-Polya conjecture and Riemann hypothesis are proven. The construction of Hilbert-Polya operator is inspired by the conviction that Riemann Zeta function is associated with a physical system allowing superconformal transformations as its symmetries. The proof as such is elementary involving only basic facts about the theory of Hilbert space operators and complex analysis.
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2017
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2017.57117