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Beznea, Lucian (ed.) et al., Proceedings of the sixth congress of Romanian Mathematicians, Bucharest, Romania, June 28–July 4, 2007. Vol. 1: Scientific contributions. Bucharest: Editura Academiei Române (ISBN 978-973-27-1781-3/v.1; 978-973-27-1780-6/set). 401-432 (2009).

Reviewer: Robert Tichy (Graz)

MSC: 11B85 11K36 37A05 37A25 37A45 37B10 47A35

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Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey

Periodicity, repetitions, and orbits of an automatic sequence. (English) Zbl 1173.68044

Theor. Comput. Sci. 410, No. 30-32, 2795-2803 (2009).

MSC: 68R15 11A55 11B85 11U05

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Kazarian, M.

KP hierarchy for Hodge integrals. (English) Zbl 1168.14006

Adv. Math. 221, No. 1, 1-21 (2009).

Reviewer: Iskander A. Taimanov (Novosibirsk)

MSC: 14C17 14H10 14H81 37K10

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Rozenblum, G.; Solomyak, M.

On a family of differential operators with the coupling parameter in the boundary condition. (English) Zbl 1146.35064

J. Comput. Appl. Math. 208, No. 1, 57-71 (2007).

Reviewer: Johannes F. Brasche (Clausthal)

MSC: 35P10 47F05 47A25

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Zinchenko, N. A.

Two binary additive problems. (Russian. English summary) Zbl 1118.11035

Sib. Èlektron. Mat. Izv. 3, 352-354 (2006).

MSC: 11J71 11K06

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Zhang, Deyu; Zhai, Wenguang

On the Waring-Goldbach problem in thin sets of primes. II. (Chinese. English summary) Zbl 1124.11317

Acta Math. Sin. 48, No. 4, 809-816 (2005).

MSC: 11P05 11P32

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Dombi, Gergely

Additive properties of certain sets. (English) Zbl 1014.11009

Acta Arith. 103, No. 2, 137-146 (2002).

Reviewer: Jean-Paul Allouche (Orsay)

MSC: 11B34 11B83 11B85

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Rivat, Joël; Wu, Jie

Prime numbers of the form \([n^2]\). (English) Zbl 0987.11052

Glasg. Math. J. 43, No. 2, 237-254 (2001).

Reviewer: Dieter Leitmann (Garbsen)

MSC: 11L07 11N05 11N25 11N36

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Rivat, Joël; Sargos, Patrick

Nombres premiers de la forme \([n^c]\). (Prime numbers of the form \([n^c]\)). (French) Zbl 0970.11035

Can. J. Math. 53, No. 2, 414-433 (2001).

Reviewer: Dieter Leitmann (Garbsen)

MSC: 11N05 11L07 11L20

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Arkhipov, G. I.; Chubarikov, V. N.

On the distribution of prime numbers in a sequence of the form \([n^c]\). (English. Russian original) Zbl 0983.11055

Mosc. Univ. Math. Bull. 54, No. 6, 25-35 (1999); translation from Vestn. Mosk. Univ., Ser I 1999, No. 6, 25-35 (1999).

Reviewer: V. G. Miladzhanov (Andizhan)

MSC: 11N05

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Zhai, Wenguang

On the \(k\)-dimensional Piatetski-Shapiro prime number theorem. (English) Zbl 0964.11040

Sci. China, Ser. A 42, No. 11, 1173-1183 (1999).

Reviewer: G.Kolesnik (Los Angeles)

MSC: 11N05

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Kumchev, A.

On the distribution of prime numbers of the form \([n^c]\). (English) Zbl 0930.11067

Glasg. Math. J. 41, No. 1, 85-102 (1999).

Reviewer: Dieter Leitmann (Garbsen)

MSC: 11N05 11N36 11L07

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Taghavi, M.

Upper bounds for the autocorrelation coefficients of the Rudin-Shapiro polynomials. (English) Zbl 0921.11042

Korean J. Comput. Appl. Math. 4, No. 1, 39-46 (1997).

Reviewer: J.-P.Allouche (Orsay)

MSC: 11K70 11B83 42B05

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Blecksmith, Richard; Laud, Purushottam W.

Some exact number theory computations via probability mechanisms. (English) Zbl 0847.11006

Am. Math. Mon. 102, No. 10, 893-903 (1995).

Reviewer: V.Berthé (Marseille)

MSC: 11A63 11K16 11Y16 60J10

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Baker, R. C.; Harman, G.; Rivat, J.

Primes of the form \([n^ c]\). (English) Zbl 0822.11062

J. Number Theory 50, No. 2, 261-277 (1995).

Reviewer: D.Wolke (Freiburg i.Br.)

MSC: 11N05 11N36

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Jia, Chaohua

On Pjateckiǐ-Šapiro prime number theorem. (English) Zbl 0795.11038

Chin. Ann. Math., Ser. B 15, No. 1, 9-22 (1994).

Reviewer: P.Shiu (Loughborough)

MSC: 11N05 11N36 11L07

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Allouche, Jean-Paul

Finite automata and arithmetic. (English) Zbl 0903.11009

Sémin. Lothar. Comb. 30, B30c, 23 p. (1993).

MSC: 11B85 68Q45 11-02 11J81 11G09

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Allouche, Jean-Paul; Liardet, Pierre

Generalized Rudin-Shapiro sequences. (English) Zbl 0763.11010

Acta Arith. 60, No. 1, 1-27 (1991).

Reviewer: A.J.van der Poorten (North Ryde)

MSC: 11B85

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Full Text: DOI EuDML

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Wen, Zhiying; Wen, Zhixiong

Sequences of substitutions and related topics. (Chinese. English summary) Zbl 0694.10006

Adv. Math., Beijing 18, No. 3, 270-293 (1989).

MSC: 11A63 68Q42 11B99 11-02

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Troesch, B. A.

The validity of Shapiro’s cyclic inequality. (English) Zbl 0693.26009

Math. Comput. 53, No. 188, 657-664 (1989).

Reviewer: A.Smajdor

MSC: 26D15 11A99

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Sirota, E. R.

Distribution of prime numbers of the form \([un^{1+\gamma}]\), \(0<\gamma <1\). (Russian) Zbl 0712.11055

Issled. Teor. Chisel, Saratov 10, 77-83 (1988).

Reviewer: Antal Balog (Budapest)

MSC: 11N05 11N32

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Hildebrand, Adolf

Recent progress in probabilistic number theory. (English) Zbl 0624.10045

Journées arithmétiques, Besançon/France 1985, Astérisque 147/148, 95-106 (1987).

Reviewer: B.V.Levin

MSC: 11K65 60F05 11N37

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Troesch, B. A.

On Shapiro’s cyclic inequality for \(N=13\). (English) Zbl 0593.26012

Math. Comput. 45, 199-207 (1985).

Reviewer: A.Smajdor

MSC: 26D15 11A99

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Sirota, E. R.

Distribution of primes of the form \(p=[n^\alpha]=[t^\beta]\) in arithmetic progressions. (Russian) Zbl 0524.10038

Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 121, 94-102 (1983).

MSC: 11N13 11N05 11L03

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Brillhart, John; Erdős, Paul; Morton, Patrick

On sums of Rudin-Shapiro coefficients. II. (English) Zbl 0469.10034

Pac. J. Math. 107, 39-69 (1983).

MSC: 11B83 11K65 11K16 11A63

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van der Poorten, A. J.

Substitution automata, functional equations and ”functions algebraic over a finite field”. (English) Zbl 0493.10039

Contemp. Math. 9, 307-312 (1982).

MSC: 11J81 68Q45 11T99

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Dekking, Michel; Mendès France, Michel; van der Poorten, Alf

Folds! (English) Zbl 0493.10001

Math. Intell. 4, 130-138 (1982).

Reviewer: Frits Beukers (Utrecht)

MSC: 11-01 11B83 11B85 05B30 68Q45 11J81 11A55

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Mendès France, Michel

Paper folding, space-filling curves and Rudin-Shapiro sequences. (English) Zbl 0484.10023

Contemp. Math. 9, 85-95 (1982).

MSC: 11J81 11T99 68Q45

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Smith, Arthur

On Shapiro’s Tauberian theorem. (English) Zbl 0461.10037

Carleton Math. Ser. 170, 14 p. (1980).

MSC: 11N05

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Guillemin, Victor

Some classical theorems in spectral theory revisited. (English) Zbl 0452.35093

Seminar on singularities of solutions of linear partial differential equations, Inst. Adv. Study, Princeton 1977-78, Ann. Math. Stud. 91, 219-259 (1979).

MSC: 35P20 35A20

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Found 56 Documents (Results 1–56)

Primes of the form \([n^c]\) with square-free \(n\). (English) Zbl 07906287

Improved results on the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle. (English) Zbl 1535.11035

Residue pattern for infinitely many primes. (English) Zbl 1520.11005

Multiplicative functions of special type on Piatetski-Shapiro sequences. (English) Zbl 1499.11294

Consecutive square-free numbers in Piatetski-Shapiro sequences. (English) Zbl 1515.11096

On squares in Piatetski-Shapiro sequences. (English) Zbl 1490.11035

On the distribution of the Rudin-Shapiro function for finite fields. (English) Zbl 1484.11015

Three determinant evaluations. (English) Zbl 1468.15003

Distributions of finite sequences represented by polynomials in Piatetski-Shapiro sequences. (English) Zbl 1477.11022

The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields. (English) Zbl 1474.11191

Square-full numbers in Piatetski-Shapiro sequences. (English. French summary) Zbl 1458.11142

Well-balanced discontinuous Galerkin methods for the one-dimensional blood flow through arteries model with man-at-eternal-rest and living-man equilibria. (English) Zbl 1519.76139

A hybrid of two theorems of Piatetski-Shapiro. (English) Zbl 1448.11128

Arithmetic progressions in the graphs of slightly curved sequences. (English) Zbl 1407.11018

A remark on cube-free numbers in Segal-Piatestki-Shapiro sequences. (English) Zbl 1448.11055

Rudin-Shapiro sequences along squares. (English) Zbl 1421.11063

On the \(N\)th linear complexity of automatic sequences. (English) Zbl 1416.11042

Squares in Piatetski-Shapiro sequences. (English) Zbl 1428.11051

On the distribution of Rudin-Shapiro polynomials and lacunary walks on \(\mathrm{SU}(2)\). (English) Zbl 1392.11070

The Mahler measure of the Rudin-Shapiro polynomials. (English) Zbl 1371.11068

Piatetski-Shapiro meets Chebotarev. (English) Zbl 1317.11081

\(\ell^p(\mathbb Z)\)-boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems. (English) Zbl 1351.37029

From Schanuel’s conjecture to Shapiro’s conjecture. (English) Zbl 1378.11103

A Catalan identity leading to Segner’s recurrence. (English) Zbl 1263.11029

Schanuel’s conjecture and algebraic roots of exponential polynomials. (English) Zbl 1257.03061

Constrained maximization of the Shapiro-Wilk \(W\) statistic to estimate parameters of the Johnson \(S_{B}\) distribution. (English) Zbl 1202.62033

Chained flows. (Flots chaînés.) (French) Zbl 1212.11039

Periodicity, repetitions, and orbits of an automatic sequence. (English) Zbl 1173.68044

KP hierarchy for Hodge integrals. (English) Zbl 1168.14006

On a family of differential operators with the coupling parameter in the boundary condition. (English) Zbl 1146.35064

Two binary additive problems. (Russian. English summary) Zbl 1118.11035

On the Waring-Goldbach problem in thin sets of primes. II. (Chinese. English summary) Zbl 1124.11317

Additive properties of certain sets. (English) Zbl 1014.11009

Prime numbers of the form \([n^2]\). (English) Zbl 0987.11052

Nombres premiers de la forme \([n^c]\). (Prime numbers of the form \([n^c]\)). (French) Zbl 0970.11035

On the distribution of prime numbers in a sequence of the form \([n^c]\). (English. Russian original) Zbl 0983.11055

On the \(k\)-dimensional Piatetski-Shapiro prime number theorem. (English) Zbl 0964.11040

On the distribution of prime numbers of the form \([n^c]\). (English) Zbl 0930.11067

Upper bounds for the autocorrelation coefficients of the Rudin-Shapiro polynomials. (English) Zbl 0921.11042

Some exact number theory computations via probability mechanisms. (English) Zbl 0847.11006

Primes of the form \([n^ c]\). (English) Zbl 0822.11062

On Pjateckiǐ-Šapiro prime number theorem. (English) Zbl 0795.11038

Finite automata and arithmetic. (English) Zbl 0903.11009

Generalized Rudin-Shapiro sequences. (English) Zbl 0763.11010

Sequences of substitutions and related topics. (Chinese. English summary) Zbl 0694.10006

The validity of Shapiro’s cyclic inequality. (English) Zbl 0693.26009

Distribution of prime numbers of the form \([un^{1+\gamma}]\), \(0<\gamma <1\). (Russian) Zbl 0712.11055

Recent progress in probabilistic number theory. (English) Zbl 0624.10045

On Shapiro’s cyclic inequality for \(N=13\). (English) Zbl 0593.26012

Distribution of primes of the form \(p=[n^\alpha]=[t^\beta]\) in arithmetic progressions. (Russian) Zbl 0524.10038

On sums of Rudin-Shapiro coefficients. II. (English) Zbl 0469.10034

Substitution automata, functional equations and ”functions algebraic over a finite field”. (English) Zbl 0493.10039

Folds! (English) Zbl 0493.10001

Paper folding, space-filling curves and Rudin-Shapiro sequences. (English) Zbl 0484.10023

On Shapiro’s Tauberian theorem. (English) Zbl 0461.10037

Some classical theorems in spectral theory revisited. (English) Zbl 0452.35093

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