Email: pakovich at math dot bgu dot ac dot il
Fedor Pakovich
Email:
pakovich at math dot bgu dot ac dot il
Professor
Department
of Mathematics
Ben Gurion University of the Negev
P.O.B.
653 Beer Sheva
8410501 ISRAEL
Office: Deichman 310
Research interests: Complex analysis, Number Theory, Complex and Arithmetic Dynamics
Preprints
On mutually semiconjugate rational functions, pdf
Commuting rational functions revisited, pdf
Level curves of rational functions and unimodular points on rational curves, (with I. Shparlinski), pdf
Algebraic curves Aol(x)-U(y)=0 and arithmetic of orbits of rational functions, pdf
Finiteness theorems for commuting and semiconjugate rational functions, pdf
Publications
On generalized Lattès maps, J. Anal. Math., accepted, pdf
Semiconjugate rational functions: a dynamical approach, Arnold Math. J., (2018), online first, pdf
On rational functions whose normalization has genus zero or one,
Acta. Arith., 182 (2018) , 73-100. pdf
On algebraic curves A(x)-B(y)=0 of genus zero,
Math. Z.,
Vol. 288, Issue 1, (2018), 299-310. pdf
Davenport-Zannier Polynomials over Q,
(with.
A. Zvonkine),
Int.
J. Number Theory, 14 (2018), no. 4, 925-974. pdf
Polynomial semiconjugacies, decompositions of iterations, and
invariant curves,
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), Vol.
XVII (2017), 1417-1446. pdf
Recomposing rational functions,
Int. Math. Res. Not.,
(2017), online first. pdf
Solution of the parametric Center Problem for Abel Equation,
J.
Eur. Math. Soc., 19 (2017), no. 8, 2343-2369. pdf
On decompositions of trigonometric polynomials,
Israel J.
Math., 217 (2017), 337-353. pdf
On semiconjugate rational functions,
Geom. Funct. Anal., 26
(2016), 1217-1243. pdf
Algebraic Geometry of the Center-Focus problem for Abel
Differential Equation,
(with Y. Yomdin, M. Briskin),
Ergodic
Theory and Dynam. Sys.,Volume 36, Issue 3, (2016) 714–744.
pdf
Parametric Center-Focus Problem for Abel Equation, (with Y.
Yomdin, M. Briskin),
Qual. Theory Dyn. Syst., , (2014)
13:289-303. pdf
Weak and strong composition conditions for the Abel differential
equation,
Bull. Sci. Math., 138 (2014), 993-998. pdf
Minimum Degree of the Difference of Two Polynomials over Q and
Weighted Plane Trees,
(with. A. Zvonkine),
Selecta Math.,
20, no. 4 (2014), 1003-1065. pdf
Moments on Riemann surfaces and hyperelliptic Abelian integrals,
(with L. Gavrilov),
Comm. Math. Helvetici, 89, No 1,
(2014) pp. 125–155. pdf
On rational functions orthogonal to all powers of a given rational
function on a curve,
Moscow Math. Journal, Volume 13, Issue 4,
(2013) 693–731. pdf
Generalized "second Ritt theorem" and explicit solution
of the polynomial moment problem,
Compositio Math. 149 (2013),
705-728. pdf
Algebraic curves P(x)-Q(y)=0 and functional equations,
Complex Var. and Elliptic Equ., 56 (2011), no. 1-4, 199–213.
pdf
Moment Vanishing Problem and Positivity: Some Examples
(with
J. P. Francoise, Y. Yomdin, W. Zhao),
Bull. Sci. Math., 135
(2011), no. 1, 10-32. pdf
Jordan-Holder theorem for imprimitivity systems and maximal
decompositions of rational functions (with M. Muzychuk),
Proc.
Lond. Math. Soc., 102 (2011) , no. 1, 1-24. pdf
Laurent polynomial moment problem: a case study
(with A.
Zvonkin and C. Pech),
Contemp. Math., 532 (2010), 177-194. pdf
On the equation P(f)=Q(g), where P,Q are polynomials and f,g are
entire functions,
Amer. Journal of Math., 132 (2010), no. 6,
1591-1607. pdf
Prime and composite Laurent polynomials,
Bull. Sci. Math.,
133 (2009), 693-732. pdf
Solution of the polynomial moment problem
(with M.
Muzychuk).
Proc. Lond. Math. Soc., 99 no. 3, 633–657
(2009). pdf
Solution of the Hurwitz problem for Laurent polynomials,
J.
Knot Theory Ramifications, 18, No. 2, 271-302 (2009). pdf
On trees covering chains or stars,
J. Math. Sci., New York,
158, No. 1, 148-154 (2009). pdf
Arithmetics of conservative polynomials and yet another action of
the group Gal(Q/Q) on plane trees,
J. Théor. Nombres
Bordeaux, 20, 205-218 (2008). pdf
On analogues of the theorems for rational functions with at most
two poles,
Russ. Math. Surv. 63, No. 2, 386-387 (2008). pdf
On polynomials sharing preimages of compact sets, and
related questions,
Geom. Funct. Anal, 18, No. 1, 163-183
(2008). pdf
On the functional equation F(A(z))=G(B(z)), where A,B are
polynomial and F,G are continuous functions,
Math. Proc. Cam.
Phil. Soc., 143, No. 2, 469-472 (2007), pdf
Remark on the Chebotarev theorem about roots of unity,
Integers
7 (2007), A18 (electronic). pdf
On polynomials orthogonal to all powers of a given
polynomial on a segment,
Bull. Sci. Math. 129 (2005), 749-774.
pdf
Cauchy type integrals of Algebraic functions
(with N.
Roytvarf and Y. Yomdin),
Israel J. Math., Vol. 144 (2004),
221-291. pdf
On polynomials orthogonal to all powers of a Chebyshev polynomial
on a segment,
Israel J. Math., Vol. 142 (2004), 273—283.
pdf
Polynomial moment problem,
Addendum to the paper by Y.
Yomdin,
Mosc. Math. J., 3(2003), no. 3, 1167-1195. pdf
On the polynomial moment problem,
Math. Res. Lett., 10, no. 2-3, 401--410 (2003). pdf
A counterexample to the ``composition conjecture'',
Proc.
Amer. Math. Soc. 130, 3747-3749 (2002). pdf
On trees admitting morphisms onto hedgehogs or onto chains,
Russ.
Math. Surv. 55, No.3, 593-594 (2000).
Combinatoire des arbres planaires et arithmetique des courbes
hyperelliptiques,
Ann. Inst. Fourier 48, No.2, 323-351 (1998).
pdf
A remark on complex polynomials of least deviation
(with I.
V. Ostrovskii and M. G. Zaidenberg),
Int. Math. Res. Not.
1996, No.14, 699-703 (1996). pdf
Sur un probleme d'unicite pour les
functions meromorphes,
C. R. Acad. Sci., Paris (Ser. I)
323, No.7, 745-748 (1996). ps
Elliptics polynomials,
Russ.
Math. Surv. 50, No.6, 1292-1294 (1995).
Locally nilpotent
derivations of polynomial rings,
Math. Notes 58, No.2, 890-891
(1995)