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Riemann hypothesis · Vinony

Riemann hypothesis

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Riemann hypothesis

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conjecture in mathematics linked to the repartition of prime numbers

AI overview

The Riemann hypothesis is a famous conjecture in mathematics that describes a pattern in how prime numbers are distributed across all numbers. If proven true, it would answer a centuries-old question about the underlying order of primes and would have major implications for cryptography, computer science, and our fundamental understanding of numbers.

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Article

Unsolved problem in mathematics

Do all non-trivial zeros of the Riemann zeta function have a real part equal to one half?

Gallery (5)

Connections

Riemann–Siegel theta function

Categories

1859 introductions Analytic number theory Bernhard Riemann Conjectures Hilbert's problems Hypotheses Millennium Prize Problems Unsolved problems in number theory Zeta and L-functions

Sources

wikipedia.externallinksexternallink

natural number

Entity

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algebraic number field

Carl Ludwig Siegel

Birch and Swinnerton-Dyer conjecture

divisor function

Dirichlet L-function

Anatoly Karatsuba

Generalized Riemann hypothesis

automorphic form

Louis de Branges de Bourcia

local zeta function

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What links here696 pages

Riemann–Siegel theta function

Riemann zeta function

analytic number theory

John Edensor Littlewood

Redheffer matrix

Michael Victor Berry

Riesz–Markov–Kakutani representation theorem

functional derivative

Hilbert–Pólya conjecture

Riemann series theorem

Grothendieck–Hirzebruch–Riemann–Roch theorem

Hugh Montgomery

multiply perfect number

holomorphic functional calculus

singular value decomposition

Relative interior

fractal dimension

Fredholm's theorem