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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

Galois groups of polynomials arising from circulant matrices

M. Filaseta, F. Luca, P. Stănică, R.G. Underwood

Journal:

Journal of Number Theory

Year:

2008

Language:

english

File:

PDF, 153 KB

english, 2008

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

Rouche's Theorem for Polynomials

Michael Filaseta

Journal:

American Mathematical Monthly

Year:

1990

Language:

english

File:

PDF, 265 KB

english, 1990

5

Problems: 10417-10423

Eynden, Charles Vanden, Satnoianu, Razvan, Correll, Bill, Selvaraj, C. R., Selvaraj, S., Militaru, Gigel, Fieldsteel, Adam, Filaseta, M., Nicol, C.

Journal:

American Mathematical Monthly

Year:

1994

Language:

english

File:

PDF, 158 KB

english, 1994

6

THE NON-CYCLOTOMIC PART OF f(x)x n + g(x) AND ROOTS OF RECIPROCAL POLYNOMIALS OFF THE UNIT CIRCLE

DOBROWOLSKI, E., FILASETA, M., VINCENT, A. F.

Journal:

International Journal of Number Theory

Year:

2013

Language:

english

File:

PDF, 187 KB

english, 2013

7

The irreducibility of almost all Bessel Polynomials

Michael Filaseta

Journal:

Journal of Number Theory

Year:

1987

Language:

english

File:

PDF, 418 KB

english, 1987

8

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

9

On Gaps Between Squarefree Numbers II

Filaseta, M., Trifonov, O.

Journal:

Journal of the London Mathematical Society

Year:

1992

Language:

english

File:

PDF, 145 KB

english, 1992

10

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

11

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

12

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

13

Starting with gaps between k-free numbers

Filaseta, M., Graham, S., Trifonov, O.

Journal:

International Journal of Number Theory

Year:

2015

Language:

english

File:

PDF, 312 KB

english, 2015

14

Powerfree Values of Binary Forms

Journal:

Journal of Number Theory

Year:

1994

File:

PDF, 700 KB

1994

15

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

16

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

17

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

18

The Distribution of Fractional Parts with Applications to Gap Results in Number Theory

Filaseta, M., Trifonov, O.

Journal:

Proceedings of the London Mathematical Society

Year:

1996

Language:

english

File:

PDF, 2.08 MB

english, 1996

19

The irreducibility of the Bessel polynomials

Filaseta, M., Trifonov, O.

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2002

Language:

english

File:

PDF, 157 KB

english, 2002

20

Rouché's Theorem for Polynomials

Filaseta, Michael

Journal:

American Mathematical Monthly

Year:

1990

Language:

english

File:

PDF, 349 KB

english, 1990

21

Short interval results for squarefree numbers

Michael Filaseta

Journal:

Journal of Number Theory

Year:

1990

Language:

english

File:

PDF, 802 KB

english, 1990

22

6540

Mo Song-Qing and Michael Filaseta

Journal:

American Mathematical Monthly

Year:

1989

Language:

english

File:

PDF, 708 KB

english, 1989

23

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

24

SOLVING n(n + d) ⋯ (n + (k - 1)d) = by 2 WITH P(b) ≤ Ck

FILASETA, M., LAISHRAM, S., SARADHA, N.

Journal:

International Journal of Number Theory

Year:

2012

Language:

english

File:

PDF, 185 KB

english, 2012

25

On the factorization of consecutive integers

Bennett, M. A., Filaseta, M., Trifonov, O.

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2009

Language:

english

File:

PDF, 246 KB

english, 2009

26

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

27

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

28

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

29

49598666989151226098104244512918

Filaseta, Michael, Gross, Samuel

Journal:

Journal of Number Theory

Year:

2014

Language:

english

File:

PDF, 406 KB

english, 2014

30

Is Every Polynomial with Integer Coefficients Near an Irreducible Polynomial?

Filaseta, Michael

Journal:

Elemente der Mathematik

Year:

2014

File:

PDF, 243 KB

2014

31

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

32

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

33

On the distribution of gaps between squarefree numbers

Filaseta, Michael

Journal:

Year:

1993

Language:

english

File:

PDF, 524 KB

english, 1993

34

The irreducibility of all but finitely many Bessel Polynomials

Michael Filaseta

Journal:

Acta Mathematica

Year:

1995

Language:

english

File:

PDF, 617 KB

english, 1995

35

10423

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

Journal:

American Mathematical Monthly

Year:

1997

Language:

english

File:

PDF, 110 KB

english, 1997

36

by High-Energy Neutrons

Shipbaugh, C., Wiss, J., Binkley, M., Butler, J., Cumalat, J. P., Coteus, P., DiCorato, M., Diesburg, M., Enagonio, J., Filaseta, J., Frabetti, P. L., Gaines, I., Garbincius, P., Gormley, M., Harding,

Journal:

Physical Review Letters

Year:

1988

Language:

english

File:

PDF, 606 KB

english, 1988

37

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

38

A High Speed Data Acquisition System for Fermilab Experiments

Harding, David J., Kohlmeier, James A., Ritchie, David J., Filaseta, John E.

Journal:

IEEE Transactions on Nuclear Science

Year:

1983

Language:

english

File:

PDF, 1.02 MB

english, 1983

39

Mass Differences

Diesburg, M., Ladbury, R., Binkley, M., Bossi, F., Butler, J., Coteus, P., Cumalat, J. P., DiCorato, M., Enagonio, J., Filaseta, J., Frabetti, P. L., Gaines, I., Garbincius, P., Gormley, M., Haggerty,

Journal:

Physical Review Letters

Year:

1987

Language:

english

File:

PDF, 653 KB

english, 1987

40

by neutrons

Coteus, P., Binkley, M., Bossi, F., Butler, J., Cumalat, J. P., DiCorato, M., Diesburg, M., Enagonio, J., Filaseta, J., Frabetti, P. L., Gaines, I., Garbincius, P., Gormley, M., Haggerty, J., Harding,

Journal:

Physical Review Letters

Year:

1987

Language:

english

File:

PDF, 676 KB

english, 1987

41

The Minimal Euclidean Norm of an Algebraic Number Is Effectively Computable

M. Filaseta, M.L. Robinson, F.S. Wheeler

Journal:

Journal of Algorithms

Year:

1994

File:

PDF, 868 KB

1994

42

Irreducibility criteria for polynomials with nonnegative coefficients

Filaseta, Michael

Journal:

Canadian Journal of Mathematics

Year:

1988

Language:

english

File:

PDF, 800 KB

english, 1988

43

10640

Filaseta, Michael A.

Journal:

American Mathematical Monthly

Year:

1998

Language:

english

File:

PDF, 136 KB

english, 1998

44

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

45

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

46

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

47

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

48

Primes that become composite after changing an arbitrary digit

Filaseta, Michael, Southwick, Jeremiah

Journal:

Mathematics of Computation

Year:

2020

File:

PDF, 221 KB

2020

49

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

50

[ACM Press Proceeding of the 44th ACM technical symposium - Denver, Colorado, USA (2013.03.06-2013.03.09)] Proceeding of the 44th ACM technical symposium on Computer science education - SIGCSE '13 - Retention of STEM majors using early undergraduate researchexperiences

Bowling, Bethany, Bullen, Heather, Doyle, Maureen, Filaseta, John

Year:

2013

Language:

english

File:

PDF, 461 KB

english, 2013

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