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1

Problems

Ronald Graham, Edwin Buchman, Problem Solving Class, Fouad Nakhli, Albert Wilansky, M. S. Klamkin, Barthel W. Huff, Stanley Rabinowitz, David Callan, Bjorn Poonen, Vic Norton, Jan van de Craats, D. M.

Journal:

Mathematics Magazine

Year:

1986

Language:

english

File:

PDF, 748 KB

english, 1986

2

Algebraic Families of Nonzero Elements of Shafarevich-Tate Groups

Jean-Louis Colliot-Thelene and Bjorn Poonen

Journal:

Journal of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 1.39 MB

english, 2000

3

Problems

Bruce Reznick, Jerrold W. Grossman, John P. Hoyt, William P. Wardlaw, Stanley Rabinowitz, M. S. Klamkin, Bjorn Poonen, Martin Feuerman, Luz M. DeAlba, Mike Bolla, Dan Kalman, John O. Bennett, Harvey S

Journal:

Mathematics Magazine

Year:

1987

Language:

english

File:

PDF, 724 KB

english, 1987

4

Problems

Ambati Jeya Krishna, Robert E. Shafer, M. S. Klamkin, Martin Feuerman, Norman Schaumberger, Donald Batman, Chico Problem Group, Bjorn Poonen, Heinz-Jurgen Seiffert, H. Dai, Donald C. Fuller, Eugene Le

Journal:

College Mathematics Journal

Year:

1988

Language:

english

File:

PDF, 498 KB

english, 1988

5

Problems

Klee, Victor, Wagon, Stan, Duncan, John, Maliakas, Mihalis, Wainger, Stephen, Wright, Jim, Fan, C. Kenneth, Poonen, Bjorn, Bonomo, John, Cipra, Barry, Litchfield, Kay P., Callan, David, Richter, R. Br

Journal:

Mathematics Magazine

Year:

1993

Language:

english

File:

PDF, 742 KB

english, 1993

6

Problems

Syd Bulman-Fleming, Edward T. H. Wang, Gerald A. Heuer, Seung-Jin Bang, Miguel Amengual Covas, Sam Northshield, Murray S. Klamkin, Howard Morris, Bjorn Poonen, Michael Handelsman, Philip D. Straffin,

Journal:

Mathematics Magazine

Year:

1992

Language:

english

File:

PDF, 674 KB

english, 1992

7

Independence of points on elliptic curves arising from special points on modular and Shimura curves, I: Global results

Buium, Alexandru, Poonen, Bjorn

Journal:

Duke Mathematical Journal

Year:

2009

Language:

english

File:

PDF, 153 KB

english, 2009

8

Why All Rings Should Have a 1

Journal:

Mathematics Magazine

Year:

2019

Language:

english

File:

PDF, 330 KB

english, 2019

9

Erratum to “Bertini irreducibility theorems over finite fields”

Charles, François, Poonen, Bjorn

Journal:

Journal of the American Mathematical Society

Year:

2018

Language:

english

File:

PDF, 112 KB

english, 2018

10

Random Polynomials Having Few or No Real Zeros

Amir Dembo, Bjorn Poonen, Qi-Man Shao and Ofer Zeitouni

Journal:

Journal of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 3.10 MB

english, 2002

11

Lattice Polygons and the Number 12

Poonen, Bjorn, Rodriguez-Villegas, Fernando

Journal:

American Mathematical Monthly

Year:

2000

Language:

english

File:

PDF, 1.01 MB

english, 2000

12

Cycles of quadratic polynomials and rational points on a genus- $2$ curve

Flynn, E. V., Poonen, Bjorn, Schaefer, Edward F.

Journal:

Duke Mathematical Journal

Year:

1997

Language:

english

File:

PDF, 2.75 MB

english, 1997

13

Independence of points on elliptic curves arising from special points on modular and Shimura curves, II: local results

Buium, Alexandru, Poonen, Bjorn

Journal:

Compositio Mathematica

Year:

2009

Language:

english

File:

PDF, 1.00 MB

english, 2009

14

Néron–Severi groups under specialization

Maulik, Davesh, Poonen, Bjorn

Journal:

Duke Mathematical Journal

Year:

2012

Language:

english

File:

PDF, 401 KB

english, 2012

15

Fractional Power Series and Pairings on Drinfeld Modules

Journal:

Journal of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 2.21 MB

english, 1996

16

[IEEE Proceedings., 33rd Annual Symposium on Foundations of Computer Science - Pittsburgh, PA, USA (1992.10.24-1992.10.27)] Proceedings., 33rd Annual Symposium on Foundations of Computer Science - Improved lower bounds for Shellsort

Plaxton, C.G., Poonen, B., Suel, T.

Year:

1992

Language:

english

File:

PDF, 945 KB

english, 1992

17

Congruences Relating the Order of a Group to the Number of Conjugacy Classes

Journal:

American Mathematical Monthly

Year:

1995

Language:

english

File:

PDF, 598 KB

english, 1995

18

Twists of $X(7)$

Poonen, Bjorn, Schaefer, Edward F., Stoll, Michael

Journal:

Duke Mathematical Journal

Year:

2007

Language:

english

File:

PDF, 460 KB

english, 2007

19

Random maximal isotropic subspaces and Selmer groups

Poonen, Bjorn, Rains, Eric

Journal:

Journal of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 376 KB

english, 2012

20

Problems: 10375-10381

John Brillhart, J. S. Lomont, Nobuhisa Abe, Kathryn R. Laberteaux, Bjorn Poonen, Michael Hirsch, Jonathan L. King, Michael Slater and Marcin E. Kuczma

Journal:

American Mathematical Monthly

Year:

1994

Language:

english

File:

PDF, 231 KB

english, 1994

21

How to Spread Rumors Fast

C. Kenneth Fan, Bjorn Poonen and George Poonen

Journal:

Mathematics Magazine

Year:

1997

Language:

english

File:

PDF, 333 KB

english, 1997

22

Bertini theorems over finite fields

Journal:

Annals of Mathematics

Year:

2004

Language:

english

File:

PDF, 602 KB

english, 2004

23

The Worst Case in Shellsort and Related Algorithms

Journal:

Journal of Algorithms

Year:

1993

File:

PDF, 830 KB

1993

24

Orbits of automorphism groups of fields

Kiran S. Kedlaya, Bjorn Poonen

Journal:

Journal of Algebra

Year:

2005

Language:

english

File:

PDF, 165 KB

english, 2005

25

Mordell-Lang plus Bogomolov

Journal:

Inventiones mathematicae

Year:

1999

Language:

english

File:

PDF, 102 KB

english, 1999

26

Hilbert's Tenth Problem and Mazur's Conjecture for Large Subrings of ℚ

Journal:

Journal of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 1.09 MB

english, 2003

27

The Cassels-Tate Pairing on Polarized Abelian Varieties

Bjorn Poonen and Michael Stoll

Journal:

Annals of Mathematics

Year:

1999

Language:

english

File:

PDF, 3.83 MB

english, 1999

28

Finiteness Results for Modular Curves of Genus at Least 2

Matthew H. Baker, Enrique González-Jiménez, Josep González and Bjorn Poonen

Journal:

American Journal of Mathematics

Year:

2005

Language:

english

File:

PDF, 7.20 MB

english, 2005

29

Elementary Problems: E3361-E3366

William P. Wardlaw, Bjorn Poonen, N. J. Fine, H. W. Lenstra and Dean S. Clark

Journal:

American Mathematical Monthly

Year:

1990

Language:

english

File:

PDF, 298 KB

english, 1990

30

Problems: 10473-10479

Emre Alkan, Harry Tamvakis, Wu Wei Chao, Simeon T. Stefanov, B. H. Neumann, D. G. Rogers, Joan P. Hutchinson, Jeffrey C. Lagarias and Bjorn Poonen

Journal:

American Mathematical Monthly

Year:

1995

Language:

english

File:

PDF, 150 KB

english, 1995

31

Characterizing Integers among Rational Numbers with a Universal-Existential Formula

Journal:

American Journal of Mathematics

Year:

2009

Language:

english

File:

PDF, 563 KB

english, 2009

32

Problems: 10265-10273

Bjorn Poonen, Daniel B. Shapiro, Patrick Rabau, Lenny Jones, Mike Seyfried, Stephen Schroer, Ondrej Such, D. M. Bloom, Marian Deaconescu, Victor I. Kostin, J. Marshall Ash, Leonid Krop and Jesus Ferre

Journal:

American Mathematical Monthly

Year:

1992

Language:

english

File:

PDF, 285 KB

english, 1992

33

Elementary Problems: E3225-E3230

Bjorn Poonen, Stan Wagon, Bradley Lucier, David K. Cohoon, Gary E. Stevens and William Miller

Journal:

American Mathematical Monthly

Year:

1987

Language:

english

File:

PDF, 238 KB

english, 1987

34

Heuristics for the Brauer–Manin Obstruction for Curves

Journal:

Experimental Mathematics

Year:

2006

Language:

english

File:

PDF, 187 KB

english, 2006

35

10.1090/S0894-0347-99-00315-X

Colliot-Thélène, Jean-Louis, Poonen, Bjorn

Journal:

Journal of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 361 KB

english, 2000

36

Problems: 10368-10374

Emre Alkan, Bjorn Poonen, Bernardo Recaman Santos, Emil Yankov Stoyanov, Paul R. Chernoff, Jacob Feldman, M. J. Pelling and David L. Book

Journal:

American Mathematical Monthly

Year:

1994

Language:

english

File:

PDF, 246 KB

english, 1994

37

Squarefree values of multivariable polynomials

Journal:

Duke Mathematical Journal

Year:

2003

Language:

english

File:

PDF, 165 KB

english, 2003

38

Bertini irreducibility theorems over finite fields

Charles, François, Poonen, Bjorn

Journal:

Journal of the American Mathematical Society

Year:

2014

Language:

english

File:

PDF, 287 KB

english, 2014

39

10265

Bjorn Poonen, Donald A. Darling and David G. Cantor

Journal:

American Mathematical Monthly

Year:

1995

Language:

english

File:

PDF, 124 KB

english, 1995

40

Problems: 10550-10556

Raphael M. Robinson, Daniel Goffinet, Bjorn Poonen, Jim Propp, Richard Stong, Jeffrey C. Lagarias, Eric M. Rains, Joseph Lewittes and Herbert H. Lehman

Journal:

American Mathematical Monthly

Year:

1996

Language:

english

File:

PDF, 213 KB

english, 1996

41

Curves of every genus with many points, II: Asymptotically good families

Zieve, Michael E., Wetherell, Joseph L., Poonen, Bjorn, Kresch, Andrew, Howe, Everett W., Elkies, Noam D.

Journal:

Duke Mathematical Journal

Year:

2004

Language:

english

File:

PDF, 262 KB

english, 2004

42

Uniform first-order definitions in finitely generated fields

Journal:

Duke Mathematical Journal

Year:

2007

Language:

english

File:

PDF, 250 KB

english, 2007

43

Points Having the Same Residue Field as Their Image under a Morphism

Journal:

Journal of Algebra

Year:

2001

Language:

english

File:

PDF, 67 KB

english, 2001

44

Rigidity and Semi-invariants in Drinfeld Modules

Journal:

Journal of Number Theory

Year:

1995

File:

PDF, 592 KB

1995

45

Torsion in rank 1 Drinfeld modules and the uniform boundedness conjecture

Journal:

Mathematische Annalen

Year:

1997

Language:

english

File:

PDF, 160 KB

english, 1997

46

Torsion Packets on Curves

Matthew Baker, Bjorn Poonen

Journal:

Compositio Mathematica

Year:

2001

Language:

english

File:

PDF, 108 KB

english, 2001

47

Bertini Theorems over Finite Fields

Journal:

Annals of Mathematics

Year:

2004

Language:

english

File:

PDF, 598 KB

english, 2004

48

The Number of Intersection Points Made by the Diagonals of a Regular Polygon

Poonen, Bjorn, Rubinstein, Michael

Journal:

SIAM Journal on Discrete Mathematics

Year:

1998

Language:

english

File:

PDF, 375 KB

english, 1998

49

Finiteness results for modular curves of genus at least 2

Baker, Matthew H., Gonzalez-Jimenez, Enrique, Gonzalez, Josep, Poonen, Bjorn

Journal:

American Journal of Mathematics

Year:

2005

Language:

english

File:

PDF, 840 KB

english, 2005

50

Characterizing integers among rational numbers with a universal-existential formula

Journal:

American Journal of Mathematics

Year:

2009

Language:

english

File:

PDF, 370 KB

english, 2009