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1

Sieving by Large Integers and Covering Systems of Congruences

Michael Filaseta, Kevin Ford, Sergei Konyagin, Carl Pomerance and Gang Yu

Journal:

Journal of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 1.55 MB

english, 2007

2

Rouche's Theorem for Polynomials

Michael Filaseta

Journal:

American Mathematical Monthly

Year:

1990

Language:

english

File:

PDF, 265 KB

english, 1990

3

Problems

Robert E. Shafer, Michael Filaseta, Norman Schaumberger, Jerry M. Metzger, Mangho Ahuja, M. S. Klamkin, Norman L. Swanson, Bruce Richter, Ross Honsberger, Jerry Metzger, Frank P. Battles, Henry S. Lie

Journal:

The Two-Year College Mathematics Journal

Year:

1983

Language:

english

File:

PDF, 562 KB

english, 1983

4

The irreducibility of almost all Bessel Polynomials

Michael Filaseta

Journal:

Journal of Number Theory

Year:

1987

Language:

english

File:

PDF, 418 KB

english, 1987

5

10.1090/S0894-0347-06-00549-2

Filaseta, Michael, Ford, Kevin, Konyagin, Sergei, Pomerance, Carl, Yu, Gang

Journal:

Journal of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 306 KB

english, 2007

6

Problems

Heinz-Jurgen Seiffert, Peter Sisler, Norman Schaumberger, Russell Euler, Verne R. Sanford, Robert E. Shafer, Allen Kaufman, B. C. Oltikar, Michael Filaseta, Clayton W. Dodge, Jerry M. Metzger and Grah

Journal:

College Mathematics Journal

Year:

1985

Language:

english

File:

PDF, 487 KB

english, 1985

7

When a Multiple of π/2 is Close to an Integer: 10640

Michael A. Filaseta, Allen Stenger, D. Callan and Z. Franco

Journal:

American Mathematical Monthly

Year:

2000

Language:

english

File:

PDF, 347 KB

english, 2000

8

An elementary approach to short interval results for k-free numbers

Michael Filaseta

Journal:

Journal of Number Theory

Year:

1988

Language:

english

File:

PDF, 701 KB

english, 1988

9

Short interval results for squarefree numbers

Michael Filaseta

Journal:

Journal of Number Theory

Year:

1990

Language:

english

File:

PDF, 802 KB

english, 1990

10

On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture

Michael Filaseta, Carrie Finch, Mark Kozek

Journal:

Journal of Number Theory

Year:

2008

Language:

english

File:

PDF, 218 KB

english, 2008

11

On the irreducibility of a certain class of Laguerre polynomials

Michael Filaseta, Richard L Williams Jr.

Journal:

Journal of Number Theory

Year:

2003

Language:

english

File:

PDF, 222 KB

english, 2003

12

The irreducibility of all but finitely many Bessel Polynomials

Michael Filaseta

Journal:

Acta Mathematica

Year:

1995

Language:

english

File:

PDF, 617 KB

english, 1995

13

Laguerre polynomials with Galois group for each m

Michael Filaseta, Travis Kidd, Ognian Trifonov

Journal:

Journal of Number Theory

Year:

2012

Language:

english

File:

PDF, 298 KB

english, 2012

14

49598666989151226098104244512918

Filaseta, Michael, Gross, Samuel

Journal:

Journal of Number Theory

Year:

2014

Language:

english

File:

PDF, 406 KB

english, 2014

15

ON VALUES OF d(n!)/m!, ϕ(n!)/m! AND σ(n!)/m!

BACZKOWSKI, DANIEL, FILASETA, MICHAEL, LUCA, FLORIAN, TRIFONOV, OGNIAN

Journal:

International Journal of Number Theory

Year:

2010

Language:

english

File:

PDF, 212 KB

english, 2010

16

6540

Mo Song-Qing and Michael Filaseta

Journal:

American Mathematical Monthly

Year:

1989

Language:

english

File:

PDF, 708 KB

english, 1989

17

10423

M. Filaseta, C. Nicol, Roy Barbara and Michael Reid

Journal:

American Mathematical Monthly

Year:

1997

Language:

english

File:

PDF, 110 KB

english, 1997

18

News and Letters

Benjamin L. Schwartz, Nina M. Roy, Ralph Jones, Michael Filaseta, Doris Schattschneider and Charles W. Trigg

Journal:

Mathematics Magazine

Year:

1978

Language:

english

File:

PDF, 432 KB

english, 1978

19

Problems and Solutions

Richard L. Francis, Lance Littlejohn, V. N. Murty, Norman Schaumberger, Milton H. Hoehn, Kay Dundas, Kenneth M. Wilke, Donald C. Fuller, Hema Sanhyarani Murty, Kay Dundas, Alan Wayne, Michael Filaseta

Journal:

The Two-Year College Mathematics Journal

Year:

1978

Language:

english

File:

PDF, 626 KB

english, 1978

20

Problems and Solutions

R. C. Buck, Sidney Penner, Norman Schaumberger, Mangho Ahuja, Warren Page, Aron Pinker, Henry Africk, Wm. R. Klinger, James W. Murdock, Dan Aulicino, Michael Filaseta, Martin Berman, F. G. B. Maskell,

Journal:

The Two-Year College Mathematics Journal

Year:

1978

Language:

english

File:

PDF, 550 KB

english, 1978

21

On the distribution of gaps between squarefree numbers

Filaseta, Michael

Journal:

Year:

1993

Language:

english

File:

PDF, 524 KB

english, 1993

22

On an irreducibility theorem of A. Cohn

Brillhart, John, Filaseta, Michael, Odlyzko, Andrew

Journal:

Canadian Journal of Mathematics

Year:

1981

Language:

english

File:

PDF, 410 KB

english, 1981

23

A CLASS OF IRREDUCIBLE POLYNOMIALS ASSOCIATED WITH PRIME DIVISORS OF VALUES OF CYCLOTOMIC POLYNOMIALS

Filaseta, Michael

Journal:

Year:

2019

Language:

english

File:

PDF, 136 KB

english, 2019

24

Rouché's Theorem for Polynomials

Filaseta, Michael

Journal:

American Mathematical Monthly

Year:

1990

Language:

english

File:

PDF, 349 KB

english, 1990

25

Is Every Polynomial with Integer Coefficients Near an Irreducible Polynomial?

Filaseta, Michael

Journal:

Elemente der Mathematik

Year:

2014

File:

PDF, 243 KB

2014

26

Irreducibility testing of lacunary 0,1-polynomials

Michael Filaseta, Douglas B. Meade

Journal:

Journal of Algorithms

Year:

2005

Language:

english

File:

PDF, 94 KB

english, 2005

27

A new method for solving a class of ballot problems

Michael Filaseta

Journal:

Journal of Combinatorial Theory, Series A

Year:

1985

Language:

english

File:

PDF, 383 KB

english, 1985

28

A distribution problem for powerfree values of irreducible polynomials

Brian Beasley, Michael Filaseta

Journal:

Periodica Mathematica Hungarica

Year:

2001

Language:

english

File:

PDF, 368 KB

english, 2001

29

10640

Filaseta, Michael A.

Journal:

American Mathematical Monthly

Year:

1998

Language:

english

File:

PDF, 136 KB

english, 1998

30

On Testing the Divisibility of Lacunary Polynomials by Cyclotomic Polynomials

Michael Filaseta and Andrzej Schinzel

Journal:

Mathematics of Computation

Year:

2004

Language:

english

File:

PDF, 271 KB

english, 2004

31

Newton polygons and the Prouhet-Tarry-Escott problem

Filaseta, Michael, Markovich, Maria

Journal:

Journal of Number Theory

Year:

2016

Language:

english

File:

PDF, 274 KB

english, 2016

32

Irreducibility criteria for polynomials with nonnegative coefficients

Filaseta, Michael

Journal:

Canadian Journal of Mathematics

Year:

1988

Language:

english

File:

PDF, 800 KB

english, 1988

33

On testing the divisibility of lacunary polynomials by cyclotomic polynomials

Filaseta, Michael, Schinzel, Andrzej

Journal:

Mathematics of Computation

Year:

2003

Language:

english

File:

PDF, 159 KB

english, 2003

34

The distance to an irreducible polynomial, II

Filaseta, Michael, Mossinghoff, Michael J.

Journal:

Mathematics of Computation

Year:

2012

Language:

english

File:

PDF, 231 KB

english, 2012

35

On the Irreducibility of a Truncated Binomial Expansion

Filaseta, Michael, Kumchev, Angel, Pasechnik, Dmitrii V.

Journal:

Rocky Mountain Journal of Mathematics

Year:

2007

Language:

english

File:

PDF, 127 KB

english, 2007

36

News & Letters

Schwartz, Benjamin L., Borwein, Peter, Klawe, Maria, Roy, Nina M., Jones, Ralph, Filaseta, Michael, Schattschneider, Doris, Trigg, Charles W.

Journal:

Mathematics Magazine

Year:

1978

Language:

english

File:

PDF, 497 KB

english, 1978

37

An explicit dense universal Hilbert set

FILASETA, MICHAEL, WILCOX, ROBERT

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2019

Language:

english

File:

PDF, 176 KB

english, 2019

38

Primes that become composite after changing an arbitrary digit

Filaseta, Michael, Southwick, Jeremiah

Journal:

Mathematics of Computation

Year:

2020

File:

PDF, 221 KB

2020

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