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

searching for Riemann hypothesis 51 found (316 total)

Popular mathematics (925 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

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 (297 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

Standard conjectures on algebraic cycles (1,346 words) [view diff] exact match in snippet view article find links to article

also imply the hardest part of the Weil conjectures, namely the "Riemann hypothesis" conjecture that remained open at the end of the 1960s and was proved

Supersingular elliptic curve (2,234 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

Miller–Rabin primality test (5,242 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

Nobushige Kurokawa (172 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)

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

Jean-Marc Deshouillers (352 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. Among his students was Gérald Tenenbaum. Problème de Waring pour

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

Jacobian variety (805 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

Global field (1,045 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

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

9000 (number) (998 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

Barry Mazur (878 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

Peter Borwein (774 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

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

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

8000 (number) (1,033 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

5000 (number) (1,427 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

Levi L. Conant Prize (749 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 (3,070 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 (1,261 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) (1,217 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

Open Problems in Mathematics (460 words) [view diff] case mismatch in snippet view article find links to article

Conjecture of Birch and Swinnerton-Dyer, by John H. Coates An Essay on the Riemann Hypothesis, by Alain Connes Navier–Stokes Equations: A Quick Reminder and a Few

Computational topology (1,591 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

Oscar Zariski (1,391 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

4000 (number) (2,037 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

Daniel Bump (457 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

David Hilbert (6,863 words) [view diff] case mismatch in snippet view article find links to article

transcendence of certain numbers. 8. Problems of prime numbers (The "Riemann Hypothesis"). 9. Proof of the most general law of reciprocity in any number field

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

Non-Hermitian quantum mechanics (1,190 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) (1,262 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

Hermite class (1,093 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

Euclidean domain (2,440 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

Marvin Minsky (3,014 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

Robert Churchhouse (836 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

Abelian variety (2,918 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,

Mathematical constant (3,546 words) [view diff] exact match in snippet view article find links to article

1007/s40687-019-0193-1, S2CID 139107960 Platt, Dave; Trudgian, Tim (2021). "The Riemann hypothesis is true up to 3·1012". Bulletin of the London Mathematical Society

André Weil (3,079 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

Chebotarev's density theorem (2,077 words) [view diff] exact match in snippet view article find links to article

density or the analytic density of the set of primes. The Generalized Riemann hypothesis implies an effective version of the Chebotarev density theorem: if

3000 (number) (2,044 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

Existence (13,314 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

Gerrit van Dijk (mathematician) (809 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

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 general intelligence (12,719 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) (25,218 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 (11,661 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