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Longer titles found: Generalized Riemann hypothesis (view), Grand Riemann hypothesis (view)

searching for Riemann hypothesis 54 found (326 total)

Popular mathematics (927 words) [view diff] case mismatch in snippet view article find links to article

Press. ISBN 978-0-691-22759-7. Dan Rockmore (2006). Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers. Vintage. ISBN 0-375-72772-8

Standard conjectures on algebraic cycles (1,509 words) [view diff] exact match in snippet view article find links to article

Weil conjectures, namely Weil's Riemann hypothesis (i.e. an analog over finite fields of the well known Riemann hypothesis) that remained open at the end

Sergei Stepanov (mathematician) (530 words) [view diff] exact match in snippet view article

theory. He is known for his 1969 proof using elementary methods of the Riemann hypothesis for zeta-functions of hyperelliptic curves over finite fields, first

Foundations of Algebraic Geometry (306 words) [view diff] exact match in snippet view article find links to article

curves in positive characteristic, which he used in his proof of the Riemann hypothesis for curves over finite fields. Weil introduced abstract rather than

Leonard E. Baum (305 words) [view diff] exact match in snippet view article find links to article

and work on mathematical problems relating to prime numbers and the Riemann hypothesis. He died at his home in Princeton, New Jersey, on August 14, 2017

Charles M. Newman (460 words) [view diff] exact match in snippet view article find links to article

real zeros of Fourier transforms is intimately associated with the Riemann hypothesis, via the De Bruijn-Newman constant. He is a member of the National

Nobushige Kurokawa (175 words) [view diff] case mismatch in snippet view article find links to article

(Japanese) Pursuit of the Riemann Hypothesis: ABC to Z, 2012. (Japanese) Beyond the Riemann Hypothesis: Deep Riemann Hypothesis (DRH), 2013. (Japanese)

Nicholas Polson (207 words) [view diff] exact match in snippet view article find links to article

Carlo, (aka Particle filter). He has also worked more recently on Riemann hypothesis. Polson was educated at Worcester College, Oxford University and the

Supersingular elliptic curve (2,351 words) [view diff] exact match in snippet view article find links to article

(1936) discovered supersingular elliptic curves during his work on the Riemann hypothesis for elliptic curves by observing that positive characteristic elliptic

Friedrich Karl Schmidt (439 words) [view diff] exact match in snippet view article find links to article

Dedekind–Weber approach. Artin in his thesis [Art 1921] translated the Riemann hypothesis to the function field analogue (actually for quadratic fields). Several

Miller–Rabin primality test (5,573 words) [view diff] exact match in snippet view article find links to article

deterministic, but its correctness relies on the unproven extended Riemann hypothesis. Michael O. Rabin modified it to obtain an unconditional probabilistic

Jean-Marc Deshouillers (372 words) [view diff] case mismatch in snippet view article find links to article

greater than 5 is a sum of three prime numbers) under the Generalized Riemann Hypothesis. Together with François Dress and Gérald Tenenbaum he discovered the

Dorje C. Brody (1,011 words) [view diff] exact match in snippet view article find links to article

million-dollar problem: the Riemann hypothesis (Update)". Retrieved 20 January 2018. "Quantum Physicists Attack the Riemann Hypothesis". Quanta Magazine. Retrieved

Lambda (2,763 words) [view diff] exact match in snippet view article find links to article

Kevin A. (2024). Equivalents of the Riemann hypothesis. Volume 3: Further steps towards resolving the Riemann hypothesis / Kevin Broughan (University of Waikato

Jacobian variety (806 words) [view diff] exact match in snippet view article find links to article

field was constructed by Weil (1948) as part of his proof of the Riemann hypothesis for curves over a finite field. The Abel–Jacobi theorem states that

Barry Mazur (922 words) [view diff] exact match in snippet view article find links to article

mathematics. Mazur, Barry; Stein, William (2016). Prime numbers and the Riemann hypothesis. New York, NY: Cambridge University Press. ISBN 978-1-107-49943-0

Global field (1,054 words) [view diff] exact match in snippet view article find links to article

a finite field, was built up during the 1930s, culminating in the Riemann hypothesis for curves over finite fields settled by André Weil in 1940. The terminology

Sarvadaman Chowla (372 words) [view diff] case mismatch in snippet view article find links to article

mathématiques, Université de Montréal. OCLC 43730416. Chowla, S. (1965). Riemann Hypothesis and Hilbert's Tenth Problem. New York: Routledge. ISBN 978-0-677-00140-1

William A. Stein (237 words) [view diff] case mismatch in snippet view article find links to article

OCLC 268798336. Mazur, Barry; Stein, William (2016). Prime Numbers and the Riemann Hypothesis. New York, NY: Cambridge University Press. ISBN 978-1-107-49943-0

Peter Borwein (782 words) [view diff] case mismatch in snippet view article find links to article

Computational Excursions in Analysis and Number Theory (2002), The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike (with Stephen Choi

Pseudo algebraically closed field (542 words) [view diff] exact match in snippet view article find links to article

fields is (pseudo-finite and hence) PAC. Ax deduces this from the Riemann hypothesis for curves over finite fields. Infinite algebraic extensions of finite

Primality test (3,825 words) [view diff] exact match in snippet view article find links to article

analytic number theory are true.[which?] Similarly, under the extended Riemann hypothesis, the deterministic Miller's test, which forms the basis of the probabilistic

9000 (number) (1,003 words) [view diff] case mismatch in snippet view article

Sequences. OEIS Foundation. Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved

Bombieri–Vinogradov theorem (533 words) [view diff] case mismatch in snippet view article find links to article

without the averaging is about of the strength of the Generalized Riemann Hypothesis (GRH). Elliott–Halberstam conjecture (a generalization of Bombieri–Vinogradov)

Beckenbach Book Prize (514 words) [view diff] case mismatch in snippet view article find links to article

Bracketology 2018: Roland van der Veen and Jan van de Craats, The Riemann Hypothesis: A Million Dollar Problem 2021: Nathan Carter, Introduction to the

Daniel Bump (463 words) [view diff] exact match in snippet view article find links to article

Bump, D., Choi, K. K., Kurlberg, P., & Vaaler, J. (2000). "A local Riemann hypothesis, I". Mathematische Zeitschrift, 233(1), pp. 1–18. Bump, D., & Diaconis

8000 (number) (1,039 words) [view diff] case mismatch in snippet view article

Sequences. OEIS Foundation. Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved

Oscar Zariski (1,397 words) [view diff] exact match in snippet view article find links to article

place, to support the use of the Jacobian variety in his proof of the Riemann hypothesis for curves over finite fields, a direction rather oblique to Zariski's

Levi L. Conant Prize (771 words) [view diff] case mismatch in snippet view article find links to article

Bulletin of the AMS. 42: 57–78. 2005. 2008: J. Brian Conrey for "The Riemann Hypothesis". Notices of the AMS. 50 (3): 341–353. 2003; and Shlomo Hoory, Nathan

Gauss–Kuzmin–Wirsing operator (3,078 words) [view diff] exact match in snippet view article find links to article

for the Riemann hypothesis". arXiv:math.NT/0307215. Báez-Duarte, Luis (2005). "A sequential Riesz-like criterion for the Riemann hypothesis". International

Brun's theorem (1,263 words) [view diff] exact match in snippet view article find links to article

(in an unpublished thesis) that B2 < 2.1754 (assuming the extended Riemann hypothesis). It has been shown unconditionally that B2 < 2.347. There is also

7000 (number) (1,291 words) [view diff] case mismatch in snippet view article

Sequences. OEIS Foundation. Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved

Computational topology (1,567 words) [view diff] exact match in snippet view article find links to article

lies in the complexity class coNP, provided that the generalized Riemann hypothesis holds. He uses instanton gauge theory, the geometrization theorem

5000 (number) (1,477 words) [view diff] case mismatch in snippet view article

Sequences. OEIS Foundation. Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved

Zeev Rudnick (682 words) [view diff] case mismatch in snippet view article find links to article

of the American Mathematical Society Conrey, J. Brian (2003). "The Riemann Hypothesis" (PDF). Notices of the AMS. 50 (3): 352. Tao, Terence (2008). Structure

6000 (number) (1,635 words) [view diff] case mismatch in snippet view article

Sequences. OEIS Foundation. Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved

4000 (number) (2,053 words) [view diff] case mismatch in snippet view article

Sequences. OEIS Foundation. Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved

Robert Churchhouse (867 words) [view diff] exact match in snippet view article find links to article

1017/S0305004100045072. Churchhouse, Robert F.; Irving J., Good (1968). "The Riemann hypothesis and pseudorandom features of the Möbius sequence". Mathematics of

Marvin Minsky (3,030 words) [view diff] case mismatch in snippet view article find links to article

Marvin Minsky once suggested that an AI program designed to solve the Riemann Hypothesis might end up taking over all the resources of Earth to build more

Euclidean domain (2,422 words) [view diff] exact match in snippet view article find links to article

absolute value of the field norm; see below). Assuming the extended Riemann hypothesis, if K is a finite extension of Q and the ring of integers of K is

André Weil (3,110 words) [view diff] exact match in snippet view article find links to article

theories. Among his major accomplishments were the 1940s proof of the Riemann hypothesis for zeta-functions of curves over finite fields, and his subsequent

Hermite class (1,123 words) [view diff] case mismatch in snippet view article find links to article

doi:10.1016/0022-1236(92)90103-P. Louis de Branges. "A proof of the Riemann Hypothesis" (PDF). p. 6. Archived from the original (PDF) on November 9, 2006

Non-Hermitian quantum mechanics (1,426 words) [view diff] case mismatch in snippet view article find links to article

118.130201. PMID 28409977. S2CID 46816531. "Quantum Physicists Attack the Riemann Hypothesis | Quanta Magazine". Quanta Magazine. Retrieved 2018-06-12.

Matt Flynn (politician) (1,309 words) [view diff] case mismatch in snippet view article

called Pryme Knumber in 2012 and a followup work, Bernie Weber and the Riemann Hypothesis, in 2017. Flynn has written a progressive political blog and was a

Abelian variety (3,158 words) [view diff] exact match in snippet view article find links to article

into projective space. Meanwhile, in order to make the proof of the Riemann hypothesis for curves over finite fields that he had announced in 1940 work,

Prime gap (3,787 words) [view diff] exact match in snippet view article find links to article

these remain unproved. Harald Cramér came close, proving that the Riemann hypothesis implies the gap gn satisfies g n = O ( p n log ⁡ p n ) , {\displaystyle

3000 (number) (2,086 words) [view diff] case mismatch in snippet view article

Sequences. OEIS Foundation. Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved

Gerrit van Dijk (mathematician) (819 words) [view diff] exact match in snippet view article

editor with Masato Wakayama: Casimir force, Casimir operators, and the Riemann hypothesis : mathematics for innovation in industry and science. Berlin; New

Existence (13,423 words) [view diff] case mismatch in snippet view article find links to article

Choi, Stephen; Rooney, Brendan; Weirathmueller, Andrea (2008). The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike. Springer Science

Anneli Lax New Mathematical Library (1,524 words) [view diff] case mismatch in snippet view article find links to article

University; translated by Robert G. Burns NML/046 ebook 2015 The Riemann Hypothesis - Roland van der Veen, Leiden University and Jan van de Craats, University

Existential risk from artificial intelligence (13,244 words) [view diff] case mismatch in snippet view article find links to article

Marvin Minsky once suggested that an AI program designed to solve the Riemann Hypothesis might end up taking over all the resources of Earth to build more

1000 (number) (24,094 words) [view diff] case mismatch in snippet view article

Sequences. OEIS Foundation. Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved

AI alignment (12,992 words) [view diff] case mismatch in snippet view article find links to article

Minsky, who once suggested that an AI program designed to solve the Riemann Hypothesis might end up taking over all the resources of Earth to build more

Germán Sierra (5,112 words) [view diff] exact match in snippet view article find links to article

with the quantum counting algorithm allows for a verification of the Riemann hypothesis for numbers far beyond the reach of any classical computer. Moreover