@string { tom = "{Brown}, T.C." } @string { shiue = "{Shiue}, P.J.-S." } @string { jctsa = "J. Combin. Theory Ser. A" } @string { jlms = "J. London Math. Soc." } @string { proc_ams = "Proc. Amer. Math. Soc." } @string { integers = "INTEGERS - Elect. J. Combin. Number Theory" } @Article{abel+siebert1993, author = "Abel, V. and Siebert, H.", title = "Sequences with large number of prime values", journal = "Amer. Math. Monthly", volume = 100, year = 1993, pages = "167--169" } @Article{adams+davison1977, author = "{Adams}, W.W. and {Davison}, J.L.", title = "A remarkable class of continued fractions", journal = proc_ams, volume = 65, year = 1977, pages = "194--198" } @Book{adamek+herrlich+strecker1990, author = "Ad\'amek, J. and Herrlich, H. and Strecker, G.E.", title = "Abstract and Concrete Categories: The Joy of Cats", series = "Pure and Applied Mathematics", publisher = "John Wiley \& Sons Inc.", address = "New York", year = 1990 } @Article{alkan+brown+sertel1983, author = "Alkan, Ahmet and Brown, T.C. and Sertel, Murat", title = "Probabilistic prospects of {Stackelberg} leader and follower", journal = "J. Optimization Theory and Applications", volume = 39, year = 1983, pages = "379--389" } @inProceedings{alkan+sertel1980, author = "Alkan, A. and Sertel, M.R.", title = "The Pretend-But-Perform mechanism in sharecropping", booktitle = "Paper presented at the Workshop on Economics of Internal Organization", publisher = "IIM", address = "Berlin, Germany", year = 1980 } @Article{alon+zaks1998, author = "Alon, N. and Zaks, A.", title = "Progresssions in sequences of nearly consecutive integers", journal = jctsa, volume = 84, year = 1998, pages = "99--109" } @Article{alspach+brown+hell1976, author = "Alspach, B. and Brown, T.C. and Hell, P.", title = "On the density of sets containing no $k$-element arithmetic progressions of a certain kind", journal = "J. London Math. Soc. (2)", volume = 13, year = 1976, pages = "226--234" } @Article{anderson1976, author = "Anderson, Peter G.", title = "A generalization of {Baudet's} conjecture (van der Waerden's theorem)", journal = "Amer. Math. Monthly", volume = 83, year = 1976, pages = "359--361" } @Misc{andersonPC, author = "Anderson, Peter G.", title = "personal communication", } @Article{anderson+brown+shiue1995, author = "{Anderson}, P.G. and " # tom # " and " # shiue, title = "A simple proof of a remarkable continued fraction identity", journal = proc_ams, volume = 123, year = 1995, pages = "2005--2009" } @Book{andrews1976, author = "Andrews, G.E.", title = "The Theory of Partition", series = "Encyclopedia of Mathematics and its Applications", volume = 2, publisher = "Addison-Wesley", address = "Reading, Mass.", year = 1976 } @Article{apostol1970, author = "Apostol, T.M.", title = "M{\"o}bius functions of rank $k$", journal = "Pacific J. Math", volume = 32, year = 1970, pages = "21--27" } @Book{apostol1976, author = "Apostol, T.M.", title = "Introduction to Analytic Number Theory", series = "Undergraduate Texts in Mathematics", publisher = "Springer-Verlag", address = "New York-Heidelberg", year = 1976 } @Article{atiyah1989, author = "Atiyah, Michael", title = "Topological quantum field theories", journal = "Inst. Hautes Études Sci. Publ. Math.", volume = 68, year = 1989, pages = "175--186" } @Article{ardal+brown+pleasants2005, author = "Ardal, Hayri and Brown, Tom and Pleasants, Peter A.B.", title = "Almost disjoint families of 3-term arithmetic progressions", journal = jctsa, volume = 109, year = 2005, pages = "75--90" } @Article{ardal+brown+jungic2011, author = "Ardal, Hayri and Brown, Tom and Jungi\'c, Veselin", title = "Chaotic Orderings of the Rationals and Reals", journal = "Amer. Math. Monthly", volume = 118, year = 2011, pages = "921--925" } @Article{ardal+brown+jungic+sahasrabudhe2012, author = "Ardal, Hayri and Brown, Tom and Jungi\'c, Veselin and Sahasrabudhe, Julian", title = "On abelian and additive complexity in infinite words", journal = integers, volume = 12, pages = "\#A21", year = 2012 } @Article{aronszajn+panitchpakdi1956, author = "Aronszajn, N. and Panitchpakdi, P.", title = "Extension of uniformly continuous transformations and hyperconvex metric spaces", journal = "Pacific J. Math.", volume = 6, year = 1956, pages = "405--439" } @Article{arshon1937, author = "Arshon, S.", title = "D\'emonstration de l'\'existence des suites asym\'etriques infinites", journal = "Mat. Sb. (=Recueil Mat.)", volume = 2, number = 44, year = 1937, pages = "769--779", note = "(Russian, with French summary)" } @Article{au+robertson+shallit2011, author = "Au, Yu-Hin and Robertson, Aaron and Shallit, Jeffrey", title = "Van der Waerden's theorem and avoidability in Words", journal = integers, volume = 11, year = 2011, pages = "\#A6" } @Article{avgust+frid+kamae+samilov2011, author = "Avgustinovich, S.V. and Frid, A. and Kamae, T. and Samilov, P.V.", title = "Infinite permutations of lowest maximal pattern complexity", journal = "Theoretical Computer Science", volume = 412, year = 2011, pages = "2911--2921" } @Article{badea1987, author = "Badea, C.", title = "The irrationality of certain infinite series", journal = "Glasgow Math. J.", volume = 29, year = 1987, pages = "221--228" } @Article{bang1957, author = "Bang, T.", title = "On the sequence $[n\alpha]$", journal = "Math. 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Monthly", volume = 69, year = 1962, pages = "777--781" } @Article{borel+laubie1991, author = "Borel, J.-P. and Laubie, F.", title = "Construction de mots de {Christoffel}", journal = "C. R. Acad. Sci. Paris (I)", volume = 313, year = 1991, pages = "483--485" } @Article{borel+laubie1993, author = "Borel, J.-P. and Laubie, F.", title = "Quelques mots sur la droite projective r\'eelle", journal = "J. Th\'eorie des Nombres de Bordeaux", volume = 5, pages = "23--51", year = 1993 } @Article{braunholtz1963, author = "Braunholtz, C.H.", title = "Solution to Problem 5030 [1962, 439]", journal = "Amer. Math. Monthly", volume = 70, year = 1963, pages = "675--676" } @Article{breuer1995, author = "Breuer, Thomas", title = "The Impossibility of Accurate State Self-Measurements", journal = "Philosophy of Science", volume = 62, number = 2, year = 1995, pages = "197--214" } @Book{lothaire1997, editor = "{Lothaire}, M.", title = "Combinatorics on words", publisher = "Cambridge University Press", address = "Cambridge Mathematical Library, Cambridge", year = 1997, note = "Corrected reprint of the 1983 original, with a new preface by Perrin", isbn = "0-521-59924-5" } @Book{lothaire2002, editor = "{Lothaire}, M.", booktitle = "Algebraic Combinatorics on Words", series = "Encyclopedia of Mathematics and its Applications", volume = 90, year = 2002, publisher = "Cambridge University Press, Cambridge" } @Article{baez1993, author = "Baez, J.C.", title = "Quantum Gravity and the Algebra of Tangles", journal = "Classical and Quantum Gravity", volume = 10, year = 1993, pages = "673" } @Article{beck1980, author = "Beck, J.", title = "A remark concerning arithmetic progressions", journal = "J. Combin. Theory Ser. A", volume = 29, year = 1980, pages = "376--377" } @Unpublished{beck+robins, author = "Beck, M. and Robins, S.", title = "A formula related to the {Frobenius} problem in two dimensions", note = "Number Theory, Springer-Verlag, New York, to appear" } @Article{beeler1983, author = "Beeler, Michael D.", title = "A new van der Waerden number", journal = "Discrete Appl. Math.", volume = 6, year = 1983, pages = "207" } @Article{beeler+oneil1971, author = "Beeler, Michael D. and O'Niel, Patrick E.", title = "Some new van der {Waerden} numbers", journal = "Discrete Math.", volume = 28, year = 1971, pages = "135--146" } @Article{behrend1938, author = "Behrend, F.", title = "On sequences of integers containing no arithmetic progression", journal = "\u{C}asopis Mat. Fys. Praha (\u{C}ast Mat.)", volume = 67, year = 1938, pages = "235--239" } @Article{bohmer1926, author = "B{\"o}hmer, P.E.", title = "{\"U}ber die Transzendenz gewisser dyadischer Br{\"u}che", journal = "Math. Ann.", volume = 96, year = 1926, pages = "367--377", note = "erratum 96 (1926) 735" } @Article{borwein+borwein1993, author = "Borwein, J.M. and Borwein, P.B.", title = "On the generating function of the integer part: $[n\alpha+\gamma]$", journal = "J. Number Theory", volume = 43, year = 1993, pages = "293--318" } @Book{bourbaki1989, author = "Bourbaki, Nicolas", title = "General Topology", address = "Berlin", publisher = "New York: Springer-Verlag", year = 1989, isbn = "038719374X", note = "Translation of: Topologie g\'en\'erale." } @Article{brauer1942, author = "Brauer, A.", title = "On a Problem of Partitions", journal = "Amer. J. Math.", volume = 64, year = 1942, pages = "299--312" } @Article{brown1964, author = tom, title = "On the finiteness of semigroups in which $x^r = r$", journal = "Proc. Cambridge Philos. Soc.", volume = 60, year = 1964, pages = "1028--1029" } @Article{brown1967, author = tom, title = "A semigroup union of disjoint locally finite subsemigroups which is not locally finite", journal = "Pacific J. Math.", volume = 22, year = 1967, pages = "11--14" } @Article{brown1968, author = tom, title = "On locally finite semigroups (in Russian)", journal = "Ukraine Math. J.", volume = 20, year = 1968, pages = "732--738" } @Article{brown1969, author = tom, title = "On {van der Waerden's} theorem on arithmetic progressions", journal = "Notices Amer. Math. Soc.", volume = 16, year = 1969, pages = 245 } @Article{brown1971-1, author = tom, title = "An interesting combinatorial method in the theory of locally finite semigroups", journal = "Pacific J. Math.", volume = 36, year = 1971, pages = "285--289" } @Article{brown1971-2, author = tom, title = "Is there a sequence on four symbols in which no two adjacent segments are permutations of one other?", journal = "American Math. Monthly", volume = 78, pages = "886--888", year = 1971 } @Article{brown1971-3, author = tom, title = "On {$N$}-sequences", journal = "Math. Magazine", volume = 44, year = 1971, pages = "89--92" } @Article{brown1975-1, author = tom, title = "Variations on {van der Waerden's} and {Ramsey's} Theorems", journal = "Amer. Math. Monthly", volume = 82, year = 1975, pages = "993--995" } @Article{brown1975-2, author = tom, title = "A proof of {Sperner's} lemma via {Hall's} theorem", journal = "Proc. Camb. Philos. Soc.", volume = 78, year = 1975, pages = 387 } @Article{brown1975-3, author = tom, title = "{Behrend's} theorem for sequences containing no $k$-element arithmetic progression of a certain type", journal = jctsa, volume = 18, year = 1975, pages = "352--356" } @Article{brown1976, author = tom, title = "Common transversals", journal = jctsa, volume = 21, year = 1976, pages = "80--85" } @Article{brown1978, author = tom, title = "On homogeneous cubes", journal = "Bogazici University J.", volume = 6, year = 1978, pages = "13--16" } @Article{brown1981, author = tom, title = "On van der {Waerden}'s theorem and a theorem of {Paris} and {Harrington}", journal = jctsa, volume = 30, year = 1981, pages = "108--111" } @Article{brown1983-1, author = tom, title = "Common transversals for three partitions", journal = "Bogazici University J.", volume = 10, year = 1983, pages = "47--49" } @Article{brown1983-2, author = tom, title = "An application of density {Ramsey} theory to transversal theory", journal = "Bogazici University J.", volume = 10, year = 1983, pages = "41--46" } @Article{brown1984-1, author = tom, title = "Common transversals for partitions of a finite set", journal = "Discrete Math.", volume = 51, year = 1984, pages = "119--124" } @Article{brown1984-2, author = tom, title = "A graph-theoretic conjecture which implies {Szemer\'edi's} theorem", journal = "Bull. Istanbul Tech. Univ.", volume = 37, year = 1984, pages = "59--63" } @Article{brown1984-3, author = tom, title = "Some quantitative aspects of {Szemer\'edi's} theorem modulo $n$", journal = "congressus Numerantium", volume = 43, year = 1984, pages = "169--174" } @Article{brown1985-1, author = tom, title = "Affine and combinatorial binary $m$-spaces", journal = jctsa, volume = 38, year = 1985, pages = "25--34" } @Article{brown1985-2, author = tom, title = "Monochromatic affine lines in finite vector spaces", journal = jctsa, volume = 38, year = 1985, pages = "35--41" } @Article{brown1990, author = tom, title = "Cancellation in semigroups in which $x^2 = x^3$", journal = "Semigroup Forum", volume = 41, year = 1990, pages = "49--53" } @Article{brown1991, author = tom, title = "A characterization of the quadratic irrationals", journal = "Canad. Math. Bull.", volume = 34, year = 1991, pages = "36--41" } @Article{brown1993, author = tom, title = "Descriptions of the characteristic sequence of an irrational", journal = "Canad. Math. Bull.", volume = 36, year = 1993, pages = "15--21" } @Article{brown1994, author = tom, title = "Powers of digital sums", journal = "Fib. Quart.", volume = 32, year = 1994, pages = "207--210" } @Article{brown1999-1, author = tom, title = "A pseudo upper bound for the van der {Waerden} function", journal = jctsa, volume = 87, year = 1999, pages = "233--238" } @inCollection{brown1999-2, author = tom, title = "Monochromatic arithmetic forests", booktitle = "Paul Erd\H{o}s and His Mathematics", editor = "Sali, A. and Simonovits, M. and S\'os, V.T.", publisher = "J\'anos Bolyai Mathematical Society", address = "Budapest, Hungary", year = 1999, pages = "42--44" } @Article{brown2000, author = tom, title = "Monochromatic Forests of Finite Subsets of $\mathbb{N}$", journal = integers, volume = 0, year = 2000, pages = "A4" } @Article{brown2001, author = tom, title = "Monochromatic structures in colorings of the positive integers and the finite subsets of the positive integers", journal = "15th MCCCC (Las Vegas, NV, 2001). J. Combin. Math. Combin. Comput.", volume = 46, year = 2003, pages = "141--153" } @Article{brown2002, author = tom, title = "Applications of standard {Sturmian} words to elementary number theory.", journal = "WORDS (Rouen, 1999). Theoret. Comput. Sci.", volume = 273, number = "1--2", year = 2002, pages = "5--9" } @Article{brown2003, author = tom, title = "On the Canonical Version of a Theorem in {Ramsey} Theory", journal = "Special Issue on Ramsey Theory, Combinatorics, Probability and Computing", volume = 12, year = 2003, pages = "513--514" } @Article{brown2005, author = tom, title = "A Partition of the Non-Negative Integers, with Applications", journal = integers, volume = 5, number = 2, year = 2005, pages = "A2", note = "(Proceedings of the Integers Conference 2003 in Honor of Tom Brown's Birthday)" } @inProceedings{brown2006, author = tom, title = "A Partition of the Non-negative Integers, with Applications to {Ramsey} Theory", booktitle = "Discrete Mathematics and its Applications", pages = "79--87", address = "Proceedings of the International Conference on Discrete Mathematics and its Applications, Amrita Vishwa Vidyapeetham, Ettimadai Coimbatore, India", publisher = "Narosa Publishing House", year = 2006 } @Article{brown2012, author = tom, title = "Approximations of Additive Squares in Infinite Words", journal = integers, volume = 12, year = 2012, pages = "A22" } @Article{brown+buhler1982, author = "Brown, T.C. and Buhler, J.P.", title = "A density version of a geometric {Ramsey} Theorem", journal = jctsa, volume = 25, year = 1982, pages = "20--34" } @Article{brown+buhler1983, author = "Brown, T.C. and Buhler, J.P.", title = "{Behrend}'s theorem for dense subsets of finite vector spaces", volume = 35, pages = "724--734", year = 1983, journal = "Canad. J. Math." } @Article{brown+buhler1984, author = "Brown, T.C. and Buhler, J.P.", title = "Lines imply spaces in density {Ramsey} theory", journal = jctsa, volume = 36, year = 1984, pages = "214--220" } @Article{brown+chou+shiue2003, author = "Brown, Tom C. and Chou, Wun-Seng and Shiue, Peter J.-S.", title = "On the partition function of a finite set", journal = "Australas. J. Combin.", volume = 27, year = 2003, pages = "193--204" } @Article{brown+chung+erdos+graham1985, author = "Brown, T.C. and Chung, F.R.K. and Erd\H{o}s, P. and Graham, R.L.", title = "Quantitative forms of a theorem of {Hilbert}", journal = jctsa, volume = 38, year = 1985, pages = "210--216" } @Article{brown+freedman1987, author = "Brown, T.C. and Freedman, A.R.", title = "Arithmetic progressions in lacunary sets", journal = "Rocky Mountain J. Math.", volume = 17, number = 3, year = 1987, pages = "587--596" } @Article{brown+freedman1989-1, author = tom # " and " # "Freedman, Allen R.", title = "Small sets which meet all the $k(n)$-term arithmetic progressions in the interval $[1,n]$", journal = jctsa, volume = 51, year = 1989, pages = "244--249" } @Article{brown+freedman1989-2, author = "Brown, T.C. and Freedman, A.R.", title = "Small sets which meet every $f(n)$-term arithmetic progressions in the interval $[1, n]$", journal = jctsa, volume = 51, year = 1989, pages = "244--249" } @Article{brown+freedman1990, author = "Brown, T.C. and Freedman, A.R.", title = "The uniform density of sets of integers and {Fermat's Last Theorem}", journal = "C.R. Math. Rep. Acad. Sci. Canad.", volume = 12, year = 1990, pages = "1--6" } @Article{brown+freedman1991, author = "Brown, T.C. and Freedman, A.R.", title = "Some sequences associated with the golden ratio", journal = "Fib. Quart.", volume = 29, year = 1991, pages = "157--159" } @Article{brown+freedman+shiue2003, author = "Brown, T.C. and Freedman, A.R. and Shiue, P. J.-S.", title = "Progressions of squares", journal = "Australas. J. Combin.", volume = 27, year = 2004, pages = "187--192" } @Article{brown+graham+landman1999, author = "Brown, T.C. and Graham, R.L. and Landman, B.M.", title = "On the Set of Common Differences in {van der Waerden's} Theorem on Arithmetic Progressions", journal = "Canad. Math. Bull.", volume = 42, year = 1999, pages = "25--36" } @Article{brown+hare1997, author = "Brown, T.C. and Hare, D.R.", title = "Arithmetic progressions in sequences with bounded gaps", journal = jctsa, volume = 77, year = 1997, pages = "222--227" } @Article{brown+jungic+poelstra2014, author = "Brown, Tom and Jungi\'c, Veselin and Poelstra, Andrew", title = "On Double 3-Term Arithmetic Progressions", journal = integers, volume = 14, pages = "\#A43", year = 2014 } @Article{brown+erdos+freedman1990, author = "Brown, T.C. and Erd\H{o}s, P. and Freedman, A.R.", title = "Quasi-progressions and Descending Waves", journal = jctsa, volume = 53, year = 1990, pages = "81--95" } @Article{brown+landman1996, author = tom # " and Landman, Bruce M.", title = "The {Ramsey} property for collections of sequences not containing all arithmetic progressions", journal = "Graphs and Combinatorics", volume = 12, year = 1996, pages = "149--161" } @Article{brown+landman1999, author = tom # " and Landman, Bruce M.", title = "Monochromatic arithmetic progressions with large differences", journal = "Bull. Austral. Math. Soc.", volume = 60, year = 1999, number = 1, pages = "21--35" } @Article{brown+landman+mishna1997, author = tom # " and Landman, Bruce M. and Mishna, Marni", title = "Monochromatic homothetic copies of $\lbrace s, 1+s, 1+s+t\rbrace$", journal = "Canad. Math. Bull.", volume = 40, year = 1997, pages = "149--157" } @Article{brown+landman+robertson2008, author = tom # " and Landman, Bruce M. and Robertson, Aaron", title = "Bounds on some {van der Waerden} numbers", journal = jctsa } @Article{brown+lazerson2009, author = tom # " and Lazerson, Earl", title = "On finitely generated idempotent semigroups", journal = "Semigroup Forum", volume = 78, year = 2009, pages = "183--183" } @Article{brown+leetsch+shiue2000, author = tom # " and Leetsch, C. Hsu and Wang, Jun and Shiue, Peter J.-S.", title = "On a certain kind of generalized number-theoretical {Moebius} function", journal = "Math. Scientist", volume = 25, year = 2000, pages = "72--77" } @Article{brown+manuch2009, author = tom # " and Manuch, Jan", title = "A simple proof of {Lerch's} formula", journal = "Proceedings of the Eleventh International Conference on Fibonacci Numbers and their Applications. Numer.", volume = 194, year = 2009, pages = "91--93" } @Article{brown+rodl1991, author = tom # " and R{\"o}dl, V.", title = "Monochromatic solutions to equations with unit fractions", journal = "Bull. Aus. Math. Soc.", volume = 43, year = 1991, pages = "387--392" } @Article{brown+shiue1993, author = tom # " and " # shiue, title = "A remark related to the {Frobenius} problem", journal = "Fib. Quart.", volume = 31, year = 1993, pages = "32--36" } @Article{brown+shiue1995-1, author = tom # " and " # shiue, title = "Squares of second-order sequences", journal = "Fib. 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Peacock" } @Book{yaglom+yaglom1967, author = "Yaglom, A.M. and Yaglom, I.M.", title = "Challenging mathematical problems with elementary solutions", volume = 2, publisher = "Holden-Day", address = "San Francisco", year = 1967, note = "Translated by J. McCawley, Jr. Revised and edited by ed. B. Gordon." } @Article{zeckendorf1972, author = "Zeckendorf, E.", title = "Representation des numbres naturels par une somme de nombres do {Fibonaci} ou de nombres de {Lucas}", journal = "Bul. Soc. Royale Sci. Liege", volume = 42, year = 1972, pages = "179--182" } @Unpublished{zeeman, author = "Zeeman, E.C.", title = "An algorithm for {Eudoxan} and anthipairetic ratios", note = "preprint" } %%% MATH OVERFLOW @MISC {MO134421, TITLE = {{R}eference: uniformity of pointwise convergence has no countable base}, AUTHOR = {Simon Henry\phantom{x}(mathoverflow.net/users/22131)}, HOWPUBLISHED = {MathOverflow}, NOTE = {\url{http://mathoverflow.net/questions/134421} (version: 2013-06-21)}, EPRINT = {\url{http://mathoverflow.net/questions/134421}}, URL = {\url{http://mathoverflow.net/questions/134421}}, }