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searching for diophantine approximation 56 found (184 total)

alternate case: Diophantine approximation

David William Boyd (458 words) [view diff] exact match in snippet view article find links to article

polynomial factorization, sphere packing, number theory involving Diophantine approximation and Mahler's measure, and computer computations. Boyd received

Meyer set (580 words) [view diff] exact match in snippet view article find links to article

Yves Meyer, who introduced and studied them in the context of diophantine approximation. Nowadays Meyer sets are best known as mathematical model for

Thue equation (912 words) [view diff] no match in snippet view article find links to article

In mathematics, a Thue equation is a Diophantine equation of the form f ( x , y ) = r , {\displaystyle f(x,y)=r,} where f {\displaystyle f} is an irreducible

Albert Charles Schaeffer (948 words) [view diff] exact match in snippet view article find links to article

Schaeffer and R. J. Duffin put forward a conjecture in metric diophantine approximation which was resolved in 2020 by James Maynard and Dimitris Koukoulopoulos

Alan Baker (mathematician) (751 words) [view diff] exact match in snippet view article

areas in number theory, such as the Gauss class number problem, diophantine approximation, and to Diophantine equations such as the Mordell curve. Baker

Richard Duffin (855 words) [view diff] exact match in snippet view article find links to article

Duffin and A. C. Schaeffer put forward a conjecture in metric diophantine approximation which was resolved in 2020 by James Maynard and Dimitris Koukoulopoulos

József Beck (606 words) [view diff] case mismatch in snippet view article find links to article

Series 49, American Mathematical Society, 2009) Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting (Springer Monographs in

Holomorphic curve (102 words) [view diff] case mismatch in snippet view article find links to article

(1977), p.553 Min Ru (2001). Nevanlinna Theory and its Relation to Diophantine Approximation. World Scientific. ISBN 981-02-4402-9. Shiffman, B. (1977). "Holomorphic

Disjunctive sequence (842 words) [view diff] exact match in snippet view article find links to article

Adamczewski, Boris; Bugeaud, Yann (2010). "8. Transcendence and diophantine approximation". In Berthé, Valérie; Rigo, Michael (eds.). Combinatorics, automata

Hillel Furstenberg (1,476 words) [view diff] exact match in snippet view article find links to article

Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation, Furstenberg introduced the notion of 'disjointness,' a notion

Umberto Zannier (859 words) [view diff] case mismatch in snippet view article find links to article

1090/S0002-9939-1982-0647887-4 (See self number.) Some Applications of Diophantine Approximation to Diophantine Equations. Forum, Udine 2003. (69 pages) Lecture

List of harmonic analysis topics (202 words) [view diff] exact match in snippet view article find links to article

Neumann's conjecture Pontryagin duality Kronecker's theorem on diophantine approximation Almost periodic function Bohr compactification Wiener's tauberian

List of conjectures (1,461 words) [view diff] exact match in snippet view article find links to article

coloring conjecture graph theory n/a 300 Littlewood conjecture diophantine approximation ⇐Margulis conjecture John Edensor Littlewood 1230 Lovász conjecture

Michel Waldschmidt (385 words) [view diff] exact match in snippet view article find links to article

Bertrand Russell Prize by the American Mathematical Society. Diophantine approximation on linear algebraic groups. Springer, 2000 ISBN 978-3-540-66785-8

Exponential polynomial (615 words) [view diff] exact match in snippet view article find links to article

Compositio Mathematica 26 (1973), pp.69–78. M. Waldschmidt, Diophantine approximation on linear algebraic groups, Springer, 2000. Martin Bays, Jonathan

Stoneham number (294 words) [view diff] exact match in snippet view article find links to article

S2CID 8944421. Bugeaud, Yann (2012). Distribution modulo one and Diophantine approximation. Cambridge Tracts in Mathematics. Vol. 193. Cambridge: Cambridge

Zonogon (579 words) [view diff] case mismatch in snippet view article find links to article

p. 351, ISBN 9783540231585 Beck, József (2014), Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting, Springer, p. 28, ISBN 9783319107417

Nd game (367 words) [view diff] case mismatch in snippet view article find links to article

; Schlickewei, Hans Peter; Schmidt, Klaus D. (10 July 2008). Diophantine Approximation: Festschrift for Wolfgang Schmidt. Springer. ISBN 9783211742808

Paul A. Catlin (1,724 words) [view diff] exact match in snippet view article find links to article

Numerantium. 74: 233–38. Paul A. Catlin (1976). "Two problems in metric diophantine approximation I". Journal of Number Theory. 8 (3): 282–288. doi:10.1016/0022-314X(76)90006-8

List of things named after Joseph Liouville (93 words) [view diff] exact match in snippet view article find links to article

theorem (conformal mappings) Liouville's theorem (differential algebra) Liouville's theorem (diophantine approximation) Liouville's theorem (Hamiltonian)

Nevanlinna theory (2,609 words) [view diff] case mismatch in snippet view article find links to article

MR 0279280 Ru, Min (2001). Nevanlinna Theory and Its Relation to Diophantine Approximation. World Scientific Publishing. ISBN 978-981-02-4402-6. Bombieri

Effective results in number theory (836 words) [view diff] exact match in snippet view article find links to article

doi:10.1093/qmath/os-5.1.293.. *Sprindzhuk, V.G. (2001) [1994], "Diophantine approximation, problems of effective", Encyclopedia of Mathematics, EMS Press

Normal number (4,302 words) [view diff] exact match in snippet view article find links to article

Adamczewski, Boris; Bugeaud, Yann (2010), "8. Transcendence and diophantine approximation", in Berthé, Valérie; Rigo, Michael (eds.), Combinatorics, automata

Kumiko Nishioka (196 words) [view diff] exact match in snippet view article find links to article

5802/aif.3216. MR 3897974. Komatsu, Takao (1998). "On inhomogeneous Diophantine approximation and the Nishioka-Shiokawa-Tamura algorithm". Acta Arithmetica

Minkowski's second theorem (843 words) [view diff] exact match in snippet view article find links to article

Siegel (1989) p.57 Cassels, J. W. S. (1957). An introduction to Diophantine approximation. Cambridge Tracts in Mathematics and Mathematical Physics. Vol

Michael McQuillan (mathematician) (584 words) [view diff] exact match in snippet view article

his work: Michael McQuillan has created the method of dynamic diophantine approximation, which has led to a series of remarkable results in complex geometry

Transcendental function (2,186 words) [view diff] exact match in snippet view article find links to article

Encyclopedia of Mathematics. Vol. 9. pp. 236. Waldschmidt, M. (2000). Diophantine approximation on linear algebraic groups. Springer. ISBN 978-3-662-11569-5.

IP set (807 words) [view diff] exact match in snippet view article find links to article

Knutson, Inger J. Håland; McCutcheon, Randall (2005). "Simultaneous Diophantine approximation and VIP systems". Acta Arithmetica. 116 (1). Institute of Mathematics

Arakelov theory (1,845 words) [view diff] case mismatch in snippet view article find links to article

387–424, doi:10.2307/2007043, JSTOR 2007043 Faltings, Gerd (1991), "Diophantine Approximation on Abelian Varieties", Annals of Mathematics, Second Series, 133

Hans Peter Schlickewei (482 words) [view diff] case mismatch in snippet view article find links to article

Masser, Yu. V. Nesterenko, W. Schmidt, M. Waldschmidt (eds.): Diophantine Approximation, Lectures CIME Summer School 2000, Springer 2003 Hans Peter Schlickewei

Patrick X. Gallagher (781 words) [view diff] case mismatch in snippet view article find links to article

Princeton University with a doctoral dissertation entitled Metric Diophantine Approximation in One and Several Dimensions completed under the supervision

Breakthrough Prize in Mathematics (1,432 words) [view diff] exact match in snippet view article find links to article

find near a given smooth surface, with important applications to Diophantine approximation in higher dimensions." Ewin Tang, University of California, Berkeley

Fibonacci word (1,938 words) [view diff] exact match in snippet view article find links to article

Adamczewski, Boris; Bugeaud, Yann (2010), "8. Transcendence and diophantine approximation", in Berthé, Valérie; Rigo, Michael (eds.), Combinatorics, automata

John Hilton Grace (1,234 words) [view diff] exact match in snippet view article find links to article

doi:10.1112/jlms/s1-1.3.167. Grace, J. H. (1918). "Note on a Diophantine approximation". Proceedings of the London Mathematical Society. s2-17 (1): 316–319

Complexity function (1,313 words) [view diff] exact match in snippet view article find links to article

Zbl 1197.68006. Bugeaud, Yann (2012). Distribution modulo one and Diophantine approximation. Cambridge Tracts in Mathematics. Vol. 193. Cambridge: Cambridge

Schanuel's conjecture (1,935 words) [view diff] exact match in snippet view article find links to article

1016/S0022-314X(02)00002-1. hdl:2318/103562. Waldschmidt, Michel (2000). Diophantine approximation on linear algebraic groups. Berlin: Springer. ISBN 978-3-662-11569-5

Non-integer base of numeration (1,971 words) [view diff] exact match in snippet view article find links to article

Schmidt 1980 Bugeaud, Yann (2012), Distribution modulo one and Diophantine approximation, Cambridge Tracts in Mathematics, vol. 193, Cambridge: Cambridge

Sturmian word (1,939 words) [view diff] exact match in snippet view article find links to article

JSTOR 2371431. Bugeaud, Yann (2012). Distribution modulo one and Diophantine approximation. Cambridge Tracts in Mathematics. Vol. 193. Cambridge: Cambridge

ATS theorem (1,798 words) [view diff] exact match in snippet view article find links to article

PMID 9909432. Hardy, G. H.; Littlewood, J. E. (1914). "Some problems of diophantine approximation: Part II. The trigonometrical series associated with the elliptic

Rational point (3,028 words) [view diff] case mismatch in snippet view article find links to article

Jean-Jacques (1987), "Arithmétique des surfaces cubiques diagonales", Diophantine Approximation and Transcendence Theory, Lecture Notes in Mathematics, vol. 1290

Combinatorics on words (2,588 words) [view diff] case mismatch in snippet view article find links to article

Springer, 2011, ISBN 9783642173325 "Distribution Modulo One and Diophantine Approximation", Yann Bugeaud, Cambridge University Press, 2012, ISBN 9780521111690

Hausdorff dimension (3,145 words) [view diff] case mismatch in snippet view article find links to article

Maurice; Kristensen, Simon (June 12, 2003). "Hausdorff Dimension and Diophantine Approximation". Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot

Hausdorff dimension (3,145 words) [view diff] case mismatch in snippet view article find links to article

Maurice; Kristensen, Simon (June 12, 2003). "Hausdorff Dimension and Diophantine Approximation". Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot

Minkowski's theorem (2,350 words) [view diff] case mismatch in snippet view article find links to article

Elsevier. ISBN 978-1-4832-5927-7. Schmidt, Wolfgang M. (1980). Diophantine Approximation. Lecture Notes in Mathematics. Vol. 785. Springer. doi:10.1007/978-3-540-38645-2

Integer programming (4,192 words) [view diff] exact match in snippet view article find links to article

András; Tardos, Éva (1987-03-01). "An application of simultaneous diophantine approximation in combinatorial optimization". Combinatorica. 7 (1): 49–65. doi:10

Palindrome (5,145 words) [view diff] exact match in snippet view article find links to article

Adamczewski, Boris; Bugeaud, Yann (2010), "8. Transcendence and diophantine approximation", in Berthé, Valérie; Rigo, Michael (eds.), Combinatorics, automata

Four exponentials conjecture (2,300 words) [view diff] exact match in snippet view article find links to article

Berlin-Göttingen-Heidelberg: Springer. MR 0086842. Waldschmidt, Michel (2000). Diophantine approximation on linear algebraic groups. Grundlehren der Mathematischen Wissenschaften

Baker's theorem (3,416 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-57359-3, MR 1288309 Waldschmidt, Michel (2000), Diophantine approximation on linear algebraic groups, Grundlehren der Mathematischen Wissenschaften

Thue–Morse sequence (3,872 words) [view diff] exact match in snippet view article find links to article

(4): 381–392. Bugeaud, Yann (2012). Distribution modulo one and Diophantine approximation. Cambridge Tracts in Mathematics. Vol. 193. Cambridge: Cambridge

Lattice problem (3,660 words) [view diff] exact match in snippet view article find links to article

P. "Factoring integers and computing discrete logarithms via diophantine approximation". Advances in Cryptology – Proceedings of Eurocrypt '91. Banaszczyk

Klein polyhedron (2,582 words) [view diff] exact match in snippet view article find links to article

(mathematics) Bugeaud, Yann (2012). Distribution modulo one and Diophantine approximation. Cambridge Tracts in Mathematics. Vol. 193. Cambridge: Cambridge

Floor and ceiling functions (5,912 words) [view diff] exact match in snippet view article find links to article

Retrieved 29 October 2021. J.W.S. Cassels (1957), An introduction to Diophantine approximation, Cambridge Tracts in Mathematics and Mathematical Physics, vol

Big O notation (9,104 words) [view diff] exact match in snippet view article find links to article

OCLC 676697295. Hardy, G.H.; Littlewood, J.E. (1914). "Some problems of diophantine approximation: Part II. The trigonometrical series associated with the elliptic

List of mathematical constants (3,567 words) [view diff] case mismatch in snippet view article find links to article

S2CID 115174293. Yann Bugeaud (2012). Distribution Modulo One and Diophantine Approximation. Cambridge University Press. p. 87. ISBN 978-0-521-11169-0. Laith

List of women in mathematics (23,282 words) [view diff] exact match in snippet view article find links to article

American mathematician, author of books on difference equations and diophantine approximation Sarah Flannery (born 1982), winner of the EU Young Scientist of

List of Jewish mathematicians (15,830 words) [view diff] exact match in snippet view article find links to article

Rosenthal (1887–1959), mathematician Klaus Roth (1925–2015), diophantine approximation; Fields Medal (1958) Leonard Roth (1904–1968), algebraic geometry