Dirichlet polynomials
M. N. Huxley (1985)
Banach Center Publications
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M. N. Huxley (1985)
Banach Center Publications
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Roberto Dvornicich, Shih Ping Tung, Umberto Zannier (2003)
Acta Arithmetica
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Gian-Carlo Rota, Jianhong Shen, Brian D. Taylor (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Kenneth O. Leland (1965-1966)
Compositio Mathematica
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Hector Giacomini, Malick Ndiaye (1996)
Publicacions Matemàtiques
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In this paper, we consider polynomial systems of the form x' = y + P(x, y), y' = -x + Q(x, y), where P and Q are polynomials of degree n wihout linear part. For the case n = 3, we have found new sufficient conditions for a center at the origin, by proposing a first integral linear in certain coefficient of the system. The resulting first integral is in the general case of Darboux type. By induction, we have been able to generalize these results for polynomial...
Agrawal, Hukum Chand (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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H. Hammouch (2004)
Annales Polonici Mathematici
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Wiener and compensated Poisson processes, as normal martingales, are associated to classical sequences of polynomials, namely Hermite polynomials for the first one and Charlier polynomials for the second. The problem studied in this paper is to find if there exist other normal martingales which are associated to classical sequences of polynomials. Privault, Solé and Vives [5] solved this problem via the quantum Kabanov formula under some assumptions on the normal martingales considered....
C. Fong, G. Lumer, E. Nordgren, H. Radjavi, P. Rosenthal (1995)
Studia Mathematica
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We prove that a function f is a polynomial if G◦f is a polynomial for every bounded linear functional G. We also show that an operator-valued function is a polynomial if it is locally a polynomial.
Shukla, D.P. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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A. Schinzel (2015)
Bulletin of the Polish Academy of Sciences. Mathematics
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A partial answer is given to a problem of Ulas (2011), asking when the nth Stern polynomial is reciprocal.
M. Filaseta, T.-Y. Lam (2002)
Acta Arithmetica
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Andrej Dujella, Tomislav Pejković (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Ben Lichtin (1988)
Compositio Mathematica
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