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Uniform Distribution Theory

Short Title: Unif. Distrib. Theory
Publisher: BOKU - University of Natural Resources and Applied Life Sciences, Vienna; Mathematical Institute of the Slovak Academy of Sciences, Bratislava; De Gruyter (Sciendo), Warsaw
ISSN: 1336-913X
Online: http://www.boku.ac.at/math/udt/
http://udt.mat.savba.sk/
https://content.sciendo.com/view/journals/udt/udt-overview.xml
Comments: Indexed cover-to-cover; This journal is available open access.
Documents Indexed: 268 Publications (since 2006)
all top 5

Authors

11 Pillichshammer, Friedrich
11 Strauch, Oto
10 Sárközy, András
8 Gyarmati, Katalin
8 Luca, Florian
7 Nair, Radhakrishnan B.
6 Aistleitner, Christoph
6 Kitaoka, Yoshiyuki
6 Mauduit, Christian
6 Shparlinski, Igor E.
5 Baláž, Vladimír
5 Hofer, Roswitha
5 Kátai, Imre
5 Larcher, Gerhard
5 Tichy, Robert Franz
4 Kritzer, Peter
4 Levin, Mordekhaĭ Borisovich
4 Liardet, Pierre
4 Mišík, Ladislav jun.
4 Niederreiter, Harald
4 Pirsic, Isabel
4 Tezuka, Shu
4 Winterhof, Arne
3 Akiyama, Shigeki
3 Ballot, Christian
3 Dartyge, Cécile
3 De Koninck, Jean-Marie
3 Deshouillers, Jean-Marc
3 Giuliano Antonini, Rita
3 Grabner, Peter J.
3 Grekos, Georges
3 Iacò, Maria Rita
3 Mérai, László
3 Nowak, Werner Georg
3 Ohkubo, Yukio
3 Paštéka, Milan
3 Pausinger, Florian
3 Steinerberger, Stefan
3 Šustek, Jan
3 Urban, Roman
3 Verger-Gaugry, Jean-Louis
3 Volinsky, Irina L.
3 Weber, Michel Jean Georges
3 Winkler, Reinhard
3 Ziegler, Volker
2 Bajnok, Béla
2 Banks, William D.
2 Berkes, István
2 Bertrand-Mathis, Anne
2 Blažeková, Oľga
2 Brauchart, Johann S.
2 Drmota, Michael
2 Faure, Henri
2 Fialová, Jana
2 Filip, Ferdinánd
2 Genys, Jonas
2 Giuliano, Rita
2 Goldstern, Martin Robert
2 Greslehner, Julia
2 Hellekalek, Peter
2 Hennecart, François
2 Herendi, Tamás
2 Hofer, Markus
2 Infusino, Maria
2 Jager, Hendrik
2 Janvresse, Elise
2 Kaneko, Hajime
2 Kraaikamp, Cor
2 Kritzinger, Ralph
2 Laurinčikas, Antanas
2 Mazhouda, Kamel
2 Moshchevitin, Nikolay G.
2 Plagne, Alain
2 Porubsky, Stefan
2 Raseta, Marko
2 Roychowdhury, Mrinal Kanti
2 Schmid, Wolfgang Ch.
2 Sleziak, Martin
2 Stănică, Pantelimon
2 Stewart, Cameron L.
2 Thomas, Alain
2 Tóth, János Tomáš Visnyaia
2 Václavíková, Zuzana
2 Volkmann, Bodo
2 Vuillon, Laurent
2 Zoli, Enrico
1 Abdalaoui, El
1 Adhikari, Sukumar Das
1 Aichinger, Ida
1 Albrecher, Hansjörg
1 Aleksenko, Alena
1 Allouche, Jean-Paul Simon
1 Arias-de-Reyna, Juan
1 Aubrun, Nathalie
1 Baker, Simon
1 Balandraud, Éric
1 Balasuriya, Sanka
1 Baldeaux, Jan
1 Barat, Guy
1 Baxa, Christoph
...and 174 more Authors

Publications by Year

Citations contained in zbMATH Open

145 Publications have been cited 428 times in 333 Documents Cited by Year
On Roth’s orthogonal function method in discrepancy theory. Zbl 1338.11073
Bilyk, Dmitriy
21
2011
Discrepancy of generalized Hammersley type point sets in Besov spaces with dominating mixed smoothness. Zbl 1349.11113
Markhasin, Lev
15
2013
On large families of pseudorandom binary lattices. Zbl 1204.11127
Mauduit, Christian; Sárközy, András
13
2007
Discrete energy asymptotics on a Riemannian circle. Zbl 1324.31006
Brauchart, Johann S.; Hardin, Douglas P.; Saff, Edward B.
12
2012
On Legendre symbol lattices. Zbl 1208.11093
Gyarmati, Katalin; Sárközy, András; Stewart, Cameron L.
9
2009
The dynamical point of view of low-discrepancy sequences. Zbl 1313.11093
Grabner, Peter J.; Hellekalek, Peter; Liardet, Pierre
8
2012
Optimal order of \(L_p\)-discrepancy of digit shifted Hammersley point sets in dimension 2. Zbl 1340.11062
Hinrichs, Aicke; Kritzinger, Ralph; Pillichshammer, Friedrich
8
2015
An exact formula for \(L_2\) discrepancy of the shifted Hammersley point set. Zbl 1147.11041
Kritzer, Peter; Pillichshammer, Friedrich
8
2006
Measures of pseudorandomness of binary lattices. III: \(Q_k\), correlation, normality, minimal values). Zbl 1227.11091
Gyarmati, K.; Mauduit, C.; Sárközy, A.
7
2010
Large families of pseudorandom subsets formed by power residues. Zbl 1140.05004
Dartyge, Cécile; Sárközy, András
7
2007
Mahler’s \(Z\)-number and \(3/2\) number systems. Zbl 1212.11073
Akiyama, Shigeki
7
2008
Variations on the Koksma-Hlawka inequality. Zbl 1313.11094
Harman, Glyn
6
2010
On the discrepancy of some generalized Kakutani’s sequences of partitions. Zbl 1313.11084
Drmota, Michael; Infusino, Maria
6
2012
On the distribution of polynomials with bounded roots. II: Polynomials with integer coefficients. Zbl 1384.11081
Akiyama, Shigeki; Pethő, Attila
6
2014
On the classification of solutions of a functional equation arising from multiplication of quantum integers. Zbl 1308.11008
Nguyen, Lan
6
2013
Optimally small sumsets in groups. I: The supersmall sumsets property, the \(\mu_G^{(k)}\) and the \(\nu_G^{(k)}\) functions. Zbl 1131.11014
Plagne, Alain
6
2006
Constructions of uniformly distributed sequences using the \(b\)-adic method. Zbl 1333.11071
Hellekalek, Peter; Niederreiter, Harald
6
2011
Value distribution of cyclotomic polynomial coefficients. Zbl 1313.11112
Gallot, Yves; Moree, Pieter; Hommersom, Huib
6
2011
A discrepancy bound for hybrid sequences involving digital explicit inversive pseudorandom numbers. Zbl 1249.11074
Niederreiter, Harald
5
2010
Substitutive Arnoux-Rauzy sequences have pure discrete spectrum. Zbl 1313.37004
Berthé, Valérie; Jolivet, Timo; Siegel, Anne
5
2012
On the discrepancy and empirical distribution function of \(\{n_k \alpha \}\). Zbl 1340.11066
Berkes, István; Raseta, Marko
5
2015
Badly approximable systems of linear forms in absolute value. Zbl 1371.11117
Hussain, M.; Kristensen, S.
5
2013
Distribution functions of ratio sequences. II. Zbl 1183.11042
Grekos, Georges; Strauch, Oto
5
2007
Discrepancy bounds for hybrid sequences involving digital explicit inversive pseudorandom numbers. Zbl 1338.11074
Niederreiter, Harald; Winterhof, Arne
5
2011
Some applications of W. Rudin’s inequality to problems of combinatorial number theory. Zbl 1313.11032
Shkredov, Ilya D.
5
2011
Approximations to two real numbers. Zbl 1249.11064
Kan, Igor D.; Moshchevitin, Nikolay G.
4
2010
Sets of exact approximation order by rational numbers. II. Zbl 1212.11071
Bugeaud, Yann
4
2008
Sets with prescribed arithmetic densities. Zbl 1212.11018
Luca, Florian; Pomerance, Carl; Porubský, Štefan
4
2008
HD0L \(\omega \)-equivalence and periodicity problems in the primitive case. Zbl 1313.68067
Durand, Fabien
4
2012
Geometric palindromic closure. Zbl 1324.68071
Domenjoud, Eric; Vuillon, Laurent
4
2012
Multidimensional effective \(S\)-adic subshifts are sofic. Zbl 1433.37009
Aubrun, Nathalie; Sablik, Mathieu
4
2014
On the Riemann zeta-function and the divisor problem. IV. Zbl 1132.11045
Ivić, Aleksandar
4
2006
An improved bound for the star discrepancy of sequences in the unit interval. Zbl 1455.11110
Larcher, Gerhard; Puchhammer, Florian
4
2016
Limit points of fractional parts of geometric sequences. Zbl 1249.11066
Kaneko, Hajime
4
2009
Uniform distribution on fractals. Zbl 1249.11070
Infusino, Maria; Volčič, Aljoša
4
2009
On two-dimensional sequences composed by one-dimensional uniformly distributed sequences. Zbl 1313.11089
Fialová, Jana; Strauch, Oto
4
2011
Optimal discrete Riesz energy and discrepancy. Zbl 1313.11092
Brauchart, Johann S.
4
2011
A characterization of higher order nets using Weyl sums and its applications. Zbl 1249.11071
Baldeaux, Jan; Dick, Josef; Pillichshammer, Friedrich
3
2010
Average distance between consecutive points of uniformly distributed sequences. Zbl 1208.11088
Pillichshammer, Friedrich; Steinerberger, Stefan
3
2009
A construction of pseudorandom binary sequences using rational functions. Zbl 1208.11094
Mérai, László
3
2009
Note on the joint distribution of the weighted sum-of-digits function modulo one in case of pairwise coprime bases. Zbl 1153.11036
Hofer, Roswitha
3
2007
On the law of the iterated logarithm for the discrepancy of sequences \(\langle n_kx\rangle\) with multidimensional indices. Zbl 1142.11056
Aistleitner, Christoph
3
2007
Uniform distribution of Galois conjugates and beta-conjugates of a Parry number near the unit circle and dichotomy of Perron numbers. Zbl 1219.11157
Verger-Gaugry, Jean-Louis
3
2008
Star extreme discrepancy of generalized two-dimensional Hammersley point sets. Zbl 1212.11075
Faure, Henri
3
2008
A footnote to the least non zero digit of \(n!\) in base \(12\). Zbl 1313.11024
Deshouillers, Jean-Marc
3
2012
A dichotomy between uniform distributions of the Stern-Brocot and the Farey series. Zbl 1324.11047
Kesseböhmer, Marc; Stratmann, Bernd O.
3
2012
On the elliptic curve power generator. Zbl 1383.11126
Mérai, László
3
2014
Discrepancies of irrational rotations with isolated large partial quotients. Zbl 1384.11083
Setokuchi, Takayoshi; Takashima, Keizo
3
2014
Convergence and modular type properties of a twisted Riemann series. Zbl 1349.11102
Rivoal, T.; Roques, J.
3
2013
On Legendre symbol lattices. II. Zbl 1349.11115
Gyarmati, Katalin; Sárközy, András; Stewart, Cameron L.
3
2013
A general discrepancy bound for hybrid sequences involving Halton sequences. Zbl 1349.11112
Gómez-Pérez, Domingo; Hofer, Roswitha; Niederreiter, Harald
3
2013
On the distribution of the order of number field elements modulo prime ideals. Zbl 1147.11054
Ziegler, Volker
3
2006
Optimal quantization for piecewise uniform distributions. Zbl 1455.60036
Rosenblatt, Joseph; Roychowdhury, Mrinal Kanti
3
2018
Uniform distribution of sequences connected with the weighted sum-of-digits function. Zbl 1201.11081
Pillichshammer, Friedrich
3
2007
Constructions of pseudorandom binary lattices. Zbl 1279.11080
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
3
2009
On the distribution of powers of real numbers modulo 1. Zbl 1392.11050
Baker, Simon
3
2015
On a Golay-Shapiro-like sequence. Zbl 1445.11078
Allouche, Jean-Paul
3
2016
Palindromic closures and Thue-Morse substitution for Markoff numbers. Zbl 1467.11029
Reutenauer, Christophe; Vuillon, Laurent
3
2017
On the closure of the image of the generalized divisor function. Zbl 1448.11011
Sanna, Carlo
3
2017
On Larcher’s theorem concerning good lattice points and multiplicative subgroups modulo \(p\). Zbl 1313.11091
Moshchevitin, Nikolay G.; Ushanov, Dmitri M.
2
2010
Metric discrepancy theory, functions of bounded variation and gcd sums. Zbl 1313.11088
Aistleitner, Christoph; Mayer, Philipp A.; Ziegler, Volker
2
2010
The \(b\)-adic diaphony of digital sequences. Zbl 1249.11072
Greslehner, Julia
2
2010
The sequence of Lucas numbers is not stable modulo 2 and 5. Zbl 1264.11011
Bundschuh, P.; Bundschuh, R.
2
2010
Uniform distribution preserving mappings and variational problems. Zbl 1208.11089
Steinerberger, Stefan
2
2009
On localization in Kronecker’s Diophantine theorem. Zbl 1208.11083
Weber, Michel
2
2009
The quality parameter of cyclic nets and hyperplane nets. Zbl 1208.11091
Pillichshammer, Friedrich; Pirsic, Gottlieb
2
2009
An application of Ramanujan sums to equirepartition modulo an odd integer. Zbl 1153.11010
Balandraud, Éric
2
2007
Weighted limit theorems for general Dirichlet series. Zbl 1174.11070
Genys, Jonas; Laurinčikas, Antanas
2
2007
On the sum of bounded multiplicative functions over some special subsets of integers. Zbl 1212.11077
Kátai, Imre
2
2008
Exponential sums associated with restricted digital functions. (Sommes d’exponentielles associées aux fonctions digitales restreintes.) Zbl 1313.11026
Mauduit, Christian; Shawket, Zaid
2
2012
Symmetries in Rauzy fractals. Zbl 1313.11048
Sirvent, Víctor F.
2
2012
On the correlation of subsequences. Zbl 1324.11052
Gyarmati, Katalin
2
2012
On the density of ranges of generalized divisor functions with restricted domains. Zbl 1397.11016
Defant, Colin
2
2015
How to write numbers in a nonintegral base. (Comment écrire les nombres relatifs dans une base qui n’est pas entière.) Zbl 1383.11009
Bertrand-Mathis, Anne
2
2014
On the limit distribution of consecutive elements of the van der Corput sequence. Zbl 1340.11060
Aistleitner, Christoph; Hofer, Markus
2
2013
A comparison theorem for matrix limitation methods with applications. Zbl 1146.11005
Giuliano Antonini, Rita; Paštéka, Milan
2
2006
Optimally small sumsets in groups. II: The hypersmall sumsets property and restricted addition. Zbl 1131.11015
Plagne, Alain
2
2006
On the distribution modulo one of the mean values of some arithmetical functions. Zbl 1174.11077
Deshouillers, Jean-Marc; Iwaniec, Henryk
2
2008
On weighted distribution functions of sequences. Zbl 1174.11058
Giuliano Antonini, Rita; Strauch, Oto
2
2008
Uniform distribution of the sequence of balancing numbers modulo \(m\). Zbl 1437.11026
Ray, Prasanta Kumar; Patel, Bijan Kumar
2
2016
Questions around the Thue-Morse sequence. Zbl 1456.11136
Queffélec, Martine
2
2018
On the discrepancy of two families of permuted van der Corput sequences. Zbl 1456.11142
Pausinger, Florian; Topuzoğlu, Alev
2
2018
Metrical star discrepancy bounds for lacunary subsequences of digital Kronecker-sequences and polynomial tractability. Zbl 1456.11141
Neumüller, Mario; Pillichshammer, Friedrich
2
2018
On M. B. Levin’s proofs for the exact lower discrepancy bounds of special sequences and point sets (a survey). Zbl 1467.11068
Kaltenböck, Lisa; Stockinger, Wolfgang
2
2018
On distribution functions of certain block sequences. Zbl 1153.11040
Filip, Ferdinánd; Mišík, Ladislav; Tóth, János T.
2
2007
On the lattice discrepancy of ellipsoids of rotation. Zbl 1279.11098
Nowak, Werner Georg
2
2009
Regularities of the distribution of abstract van der Corput sequences. Zbl 1249.11076
Steiner, Wolfgang
2
2009
On the component by component construction of polynomial lattice point sets for numerical integration in weighted Sobolev spaces. Zbl 1338.11072
Kritzer, Peter; Pillichshammer, Friedrich
2
2011
On moving averages and continued fractions. Zbl 1338.11075
Haili, Hailiza Kamarul; Nair, Radhakrishnan
2
2011
A lower bound for the diaphony of generalised van der Corput sequences in arbitrary base \(b\). Zbl 1313.11096
Pausinger, Florian; Schmid, Wolfgang Ch.
2
2011
An explicit construction of finite-row digital \((0, s)\)-sequences. Zbl 1338.11071
Hofer, Roswitha; Pirsic, Gottlieb
2
2011
On the symmetry of finite pseudorandom binary sequences. Zbl 1313.11099
Sziklai, Balász
2
2011
On sequences involving primes. Zbl 1313.11090
Ohkubo, Yukio
2
2011
The \(h\)-critical number of finite abelian groups. Zbl 1398.11049
Bajnok, Béla
2
2015
Yet another footnote to the least non zero digit of \(n!\) in base 12. Zbl 1454.11018
Deshouillers, Jean-Marc
2
2016
Algebraic numbers and density modulo 1. II. Zbl 1313.11082
Urban, Roman
1
2010
Exponential sums and linear complexity of nonlinear pseudorandom number generators with polynomials of small \(p\)-weight degree. Zbl 1249.11081
Ibeas, Álvar; Winterhof, Arne
1
2010
A unifying probabilistic interpretation of Benford’s law. Zbl 1274.60229
Giuliano, Rita; Janvresse, Élise
1
2010
The discrepancy of a needle on a checkerboard. II. Zbl 1249.11073
Iosevich, Alex; Kolountzakis, Mihail N.
1
2010
Sum of divisors of Fibonacci numbers. Zbl 1208.11115
Konyagin, Sergei V.; Luca, Florian; Stănică, Pantelimon
1
2009
Discrete correlation of order 2 of generalized Rudin-Shapiro sequences on alphabets of arbitrary size. Zbl 07299830
Tahay, Pierre-Adrien
1
2020
Kummer theory for number fields and the reductions of algebraic numbers. II. Zbl 07299833
Perucca, Antonella; Sgobba, Pietro
1
2020
Higher order oscillation and uniform distribution. Zbl 07299814
Akiyama, Shigeki; Jiang, Yunping
1
2019
On the discrepancy of random walks on the circle. Zbl 07299827
Bazarova, Alina; Berkes, István; Raseta, Marko
1
2019
Optimal quantization for piecewise uniform distributions. Zbl 1455.60036
Rosenblatt, Joseph; Roychowdhury, Mrinal Kanti
3
2018
Questions around the Thue-Morse sequence. Zbl 1456.11136
Queffélec, Martine
2
2018
On the discrepancy of two families of permuted van der Corput sequences. Zbl 1456.11142
Pausinger, Florian; Topuzoğlu, Alev
2
2018
Metrical star discrepancy bounds for lacunary subsequences of digital Kronecker-sequences and polynomial tractability. Zbl 1456.11141
Neumüller, Mario; Pillichshammer, Friedrich
2
2018
On M. B. Levin’s proofs for the exact lower discrepancy bounds of special sequences and point sets (a survey). Zbl 1467.11068
Kaltenböck, Lisa; Stockinger, Wolfgang
2
2018
Motzkin’s maximal density and related chromatic numbers. Zbl 1456.11011
Srivastava, Anshika; Pandey, Ram Krishna; Prakash, Om
1
2018
Weak universality theorem on the approximation of analytic functions by shifts of the Riemann zeta-function from a Beatty sequence. Zbl 1456.11172
Sourmelidis, Athanasios
1
2018
Palindromic closures and Thue-Morse substitution for Markoff numbers. Zbl 1467.11029
Reutenauer, Christophe; Vuillon, Laurent
3
2017
On the closure of the image of the generalized divisor function. Zbl 1448.11011
Sanna, Carlo
3
2017
Uncanny subsequence selections that generate normal numbers. Zbl 1448.11146
Vandehey, Joseph
1
2017
An improved bound for the star discrepancy of sequences in the unit interval. Zbl 1455.11110
Larcher, Gerhard; Puchhammer, Florian
4
2016
On a Golay-Shapiro-like sequence. Zbl 1445.11078
Allouche, Jean-Paul
3
2016
Uniform distribution of the sequence of balancing numbers modulo \(m\). Zbl 1437.11026
Ray, Prasanta Kumar; Patel, Bijan Kumar
2
2016
Yet another footnote to the least non zero digit of \(n!\) in base 12. Zbl 1454.11018
Deshouillers, Jean-Marc
2
2016
On the conjecture of Lehmer, limit Mahler measure of trinomials and asymptotic expansions. Zbl 1455.11143
Verger-Gaugry, Jean-Louis
1
2016
On strong normality. Zbl 1437.11109
De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh
1
2016
Tractability of multivariate integration using low-discrepancy sequences. Zbl 1445.11080
Tezuka, Shu
1
2016
Spatial equidistribution of binomial coefficients modulo prime powers. Zbl 1446.11031
Barat, Guy; Grabner, Peter J.
1
2016
On the Gaussian limiting distribution of lattice points in a parallelepiped. Zbl 1445.11107
Levin, Mordechay B.
1
2016
Convergence results for \(r\)-iterated means of the denominators of the Lüroth series. Zbl 1440.60022
Giuliano, Rita
1
2016
On the constant in the average digit sum for a recurrence-based numeration. Zbl 1446.11010
Ballot, Christian
1
2016
Optimal order of \(L_p\)-discrepancy of digit shifted Hammersley point sets in dimension 2. Zbl 1340.11062
Hinrichs, Aicke; Kritzinger, Ralph; Pillichshammer, Friedrich
8
2015
On the discrepancy and empirical distribution function of \(\{n_k \alpha \}\). Zbl 1340.11066
Berkes, István; Raseta, Marko
5
2015
On the distribution of powers of real numbers modulo 1. Zbl 1392.11050
Baker, Simon
3
2015
On the density of ranges of generalized divisor functions with restricted domains. Zbl 1397.11016
Defant, Colin
2
2015
The \(h\)-critical number of finite abelian groups. Zbl 1398.11049
Bajnok, Béla
2
2015
Generation of further pseudorandom binary sequences. I. Zbl 1392.11053
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
1
2015
Statistical distribution of roots modulo primes of an irreducible and decomposable polynomial of degree 4. Zbl 1392.11077
Kitaoka, Yoshiyuki
1
2015
Component-by-component construction of shifted Halton sequences. Zbl 1439.65032
Kritzer, Peter; Pillichshammer, Friedrich
1
2015
On the distribution of polynomials with bounded roots. II: Polynomials with integer coefficients. Zbl 1384.11081
Akiyama, Shigeki; Pethő, Attila
6
2014
Multidimensional effective \(S\)-adic subshifts are sofic. Zbl 1433.37009
Aubrun, Nathalie; Sablik, Mathieu
4
2014
On the elliptic curve power generator. Zbl 1383.11126
Mérai, László
3
2014
Discrepancies of irrational rotations with isolated large partial quotients. Zbl 1384.11083
Setokuchi, Takayoshi; Takashima, Keizo
3
2014
How to write numbers in a nonintegral base. (Comment écrire les nombres relatifs dans une base qui n’est pas entière.) Zbl 1383.11009
Bertrand-Mathis, Anne
2
2014
Partition functions in numeration systems with bounded multiplicity. Zbl 1340.11012
Feng, De-Jun; Liardet, Pierre; Thomas, Alain
1
2014
Hilbert space with reproducing kernel and uniform distribution preserving maps. II. Zbl 1383.46021
Baláž, Vladimír; Fialová, Jana; Strauch, Oto
1
2014
Discrepancy of generalized Hammersley type point sets in Besov spaces with dominating mixed smoothness. Zbl 1349.11113
Markhasin, Lev
15
2013
On the classification of solutions of a functional equation arising from multiplication of quantum integers. Zbl 1308.11008
Nguyen, Lan
6
2013
Badly approximable systems of linear forms in absolute value. Zbl 1371.11117
Hussain, M.; Kristensen, S.
5
2013
Convergence and modular type properties of a twisted Riemann series. Zbl 1349.11102
Rivoal, T.; Roques, J.
3
2013
On Legendre symbol lattices. II. Zbl 1349.11115
Gyarmati, Katalin; Sárközy, András; Stewart, Cameron L.
3
2013
A general discrepancy bound for hybrid sequences involving Halton sequences. Zbl 1349.11112
Gómez-Pérez, Domingo; Hofer, Roswitha; Niederreiter, Harald
3
2013
On the limit distribution of consecutive elements of the van der Corput sequence. Zbl 1340.11060
Aistleitner, Christoph; Hofer, Markus
2
2013
The nearest integer continued fraction and the moving average ergodic theorem. Zbl 1349.11118
Haili-Kamarul, Hailiza; Nair, Radhakrishnan
1
2013
A statistical relation of roots of a polynomial in different local fields. IV. Zbl 1382.11079
Kitaoka, Yoshiyuki
1
2013
Intersecting lines modulo one. Zbl 1371.11111
Huxley, Martin N.
1
2013
On the powers of polynomials over a finite field. (Sur les puissances des polynômes sur un corps fini.) Zbl 1359.11090
Car, Mireille; Mauduit, Christian
1
2013
A note on the Duffin-Schaeffer conjecture. Zbl 1340.11058
Li, Liangpan
1
2013
Discrete energy asymptotics on a Riemannian circle. Zbl 1324.31006
Brauchart, Johann S.; Hardin, Douglas P.; Saff, Edward B.
12
2012
The dynamical point of view of low-discrepancy sequences. Zbl 1313.11093
Grabner, Peter J.; Hellekalek, Peter; Liardet, Pierre
8
2012
On the discrepancy of some generalized Kakutani’s sequences of partitions. Zbl 1313.11084
Drmota, Michael; Infusino, Maria
6
2012
Substitutive Arnoux-Rauzy sequences have pure discrete spectrum. Zbl 1313.37004
Berthé, Valérie; Jolivet, Timo; Siegel, Anne
5
2012
HD0L \(\omega \)-equivalence and periodicity problems in the primitive case. Zbl 1313.68067
Durand, Fabien
4
2012
Geometric palindromic closure. Zbl 1324.68071
Domenjoud, Eric; Vuillon, Laurent
4
2012
A footnote to the least non zero digit of \(n!\) in base \(12\). Zbl 1313.11024
Deshouillers, Jean-Marc
3
2012
A dichotomy between uniform distributions of the Stern-Brocot and the Farey series. Zbl 1324.11047
Kesseböhmer, Marc; Stratmann, Bernd O.
3
2012
Exponential sums associated with restricted digital functions. (Sommes d’exponentielles associées aux fonctions digitales restreintes.) Zbl 1313.11026
Mauduit, Christian; Shawket, Zaid
2
2012
Symmetries in Rauzy fractals. Zbl 1313.11048
Sirvent, Víctor F.
2
2012
On the correlation of subsequences. Zbl 1324.11052
Gyarmati, Katalin
2
2012
Discrete logarithms and their equidistribution. Zbl 1313.11005
Gibson, D. Jason
1
2012
On uniform distribution in probability for sequences of products of independent random elements in a compact metric group. Zbl 1324.60003
Dobrovolsky, Sergey M.; Dobrovolskaya, Maria S.
1
2012
Normal numbers created from primes and polynomials. Zbl 1324.11049
De Koninck, Jean-Marie; Kátai, Imre
1
2012
On Roth’s orthogonal function method in discrepancy theory. Zbl 1338.11073
Bilyk, Dmitriy
21
2011
Constructions of uniformly distributed sequences using the \(b\)-adic method. Zbl 1333.11071
Hellekalek, Peter; Niederreiter, Harald
6
2011
Value distribution of cyclotomic polynomial coefficients. Zbl 1313.11112
Gallot, Yves; Moree, Pieter; Hommersom, Huib
6
2011
Discrepancy bounds for hybrid sequences involving digital explicit inversive pseudorandom numbers. Zbl 1338.11074
Niederreiter, Harald; Winterhof, Arne
5
2011
Some applications of W. Rudin’s inequality to problems of combinatorial number theory. Zbl 1313.11032
Shkredov, Ilya D.
5
2011
On two-dimensional sequences composed by one-dimensional uniformly distributed sequences. Zbl 1313.11089
Fialová, Jana; Strauch, Oto
4
2011
Optimal discrete Riesz energy and discrepancy. Zbl 1313.11092
Brauchart, Johann S.
4
2011
On the component by component construction of polynomial lattice point sets for numerical integration in weighted Sobolev spaces. Zbl 1338.11072
Kritzer, Peter; Pillichshammer, Friedrich
2
2011
On moving averages and continued fractions. Zbl 1338.11075
Haili, Hailiza Kamarul; Nair, Radhakrishnan
2
2011
A lower bound for the diaphony of generalised van der Corput sequences in arbitrary base \(b\). Zbl 1313.11096
Pausinger, Florian; Schmid, Wolfgang Ch.
2
2011
An explicit construction of finite-row digital \((0, s)\)-sequences. Zbl 1338.11071
Hofer, Roswitha; Pirsic, Gottlieb
2
2011
On the symmetry of finite pseudorandom binary sequences. Zbl 1313.11099
Sziklai, Balász
2
2011
On sequences involving primes. Zbl 1313.11090
Ohkubo, Yukio
2
2011
Equidistribution in the \(d\)-dimensional \(a\)-adic solenoids. Zbl 1333.11066
Urban, Roman
1
2011
On the distribution of the subset sum pseudorandom number generator on elliptic curves. Zbl 1313.11097
Blackburn, Simon R.; Ostafe, Alina; Shparlinski, Igor E.
1
2011
The \(b\)-adic diaphony of digital \((\mathbf T, s)\)-sequences. Zbl 1338.11070
Greslehner, Julia
1
2011
Gaps and the exponent of convergence of an integer sequence. Zbl 1313.11027
Grekos, Georges; Sleziak, Martin; Tomanová, Jana
1
2011
On lower bounded orbits of the times-\(q\) map. Zbl 1341.11041
Jensen, Jonas Lindstrøm
1
2011
On modifying normal numbers. Zbl 1313.11085
Aistleitner, Christoph
1
2011
\(L_2\) discrepancy of linearly digit scrambled Zaremba point sets. Zbl 1333.11070
Faure, Henri; Pillichshammer, Friedrich; Pirsic, Gottlieb
1
2011
Measures of pseudorandomness of binary lattices. III: \(Q_k\), correlation, normality, minimal values). Zbl 1227.11091
Gyarmati, K.; Mauduit, C.; Sárközy, A.
7
2010
Variations on the Koksma-Hlawka inequality. Zbl 1313.11094
Harman, Glyn
6
2010
A discrepancy bound for hybrid sequences involving digital explicit inversive pseudorandom numbers. Zbl 1249.11074
Niederreiter, Harald
5
2010
Approximations to two real numbers. Zbl 1249.11064
Kan, Igor D.; Moshchevitin, Nikolay G.
4
2010
A characterization of higher order nets using Weyl sums and its applications. Zbl 1249.11071
Baldeaux, Jan; Dick, Josef; Pillichshammer, Friedrich
3
2010
On Larcher’s theorem concerning good lattice points and multiplicative subgroups modulo \(p\). Zbl 1313.11091
Moshchevitin, Nikolay G.; Ushanov, Dmitri M.
2
2010
Metric discrepancy theory, functions of bounded variation and gcd sums. Zbl 1313.11088
Aistleitner, Christoph; Mayer, Philipp A.; Ziegler, Volker
2
2010
The \(b\)-adic diaphony of digital sequences. Zbl 1249.11072
Greslehner, Julia
2
2010
The sequence of Lucas numbers is not stable modulo 2 and 5. Zbl 1264.11011
Bundschuh, P.; Bundschuh, R.
2
2010
Algebraic numbers and density modulo 1. II. Zbl 1313.11082
Urban, Roman
1
2010
Exponential sums and linear complexity of nonlinear pseudorandom number generators with polynomials of small \(p\)-weight degree. Zbl 1249.11081
Ibeas, Álvar; Winterhof, Arne
1
2010
A unifying probabilistic interpretation of Benford’s law. Zbl 1274.60229
Giuliano, Rita; Janvresse, Élise
1
2010
The discrepancy of a needle on a checkerboard. II. Zbl 1249.11073
Iosevich, Alex; Kolountzakis, Mihail N.
1
2010
On Legendre symbol lattices. Zbl 1208.11093
Gyarmati, Katalin; Sárközy, András; Stewart, Cameron L.
9
2009
...and 45 more Documents
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Cited by 354 Authors

18 Pillichshammer, Friedrich
11 Aistleitner, Christoph
9 Dick, Josef
9 Sárközy, András
8 Steinerberger, Stefan
7 Dubickas, Artūras
7 Gyarmati, Katalin
7 Hofer, Roswitha
7 Mauduit, Christian
6 Hinrichs, Aicke
6 Kritzer, Peter
6 Kritzinger, Ralph
6 Markhasin, Lev
6 Mérai, László
6 Pausinger, Florian
5 Berkes, István
5 Bilyk, Dmitry
5 Chen, Zhixiong
5 Levin, Mordekhaĭ Borisovich
5 Liu, Huaning
5 Mišík, Ladislav jun.
5 Shparlinski, Igor E.
5 Strauch, Oto
5 Thuswaldner, Jörg Maximilian
5 Tóth, János Tomáš Visnyaia
4 Berthé, Valérie
4 De Koninck, Jean-Marie
4 Filip, Ferdinánd
4 Hofer, Markus
4 Hussain, Mumtaz
4 Ivić, Aleksandar P.
4 Kátai, Imre
4 Shkredov, Il’ya Dmitrievich
4 Ullrich, Tino
3 Baláž, Vladimír
3 Bhanja, Jagannath
3 Borda, Bence
3 Carbone, Ingrid
3 Dartyge, Cécile
3 Faure, Henri
3 Goda, Takashi
3 Larcher, Gerhard
3 Luca, Florian
3 Mak, Kit-Ho
3 Nair, Radhakrishnan B.
3 Nguyen, Lan
3 Pirsic, Isabel
3 Reutenauer, Christophe
3 Roychowdhury, Mrinal Kanti
3 Tichy, Robert Franz
3 Vuillon, Laurent
2 Abram, Antoine
2 Aubrun, Nathalie
2 Bajnok, Béla
2 Baldeaux, Jan
2 Barbieri, Sebastián
2 Barge, Marcy M.
2 Berend, Daniel
2 Bétermin, Laurent
2 Bukor, József
2 Dai, Feng
2 Defant, Colin
2 Deshouillers, Jean-Marc
2 Domenjoud, Eric
2 Fukuyama, Katusi
2 Garcia, Stephan Ramon
2 Gomez-Perez, Domingo
2 Gröger, Maik
2 Haynes, Alan K.
2 Hellekalek, Peter
2 Iacò, Maria Rita
2 Koivusalo, Henna
2 Kolountzakis, Mihail N.
2 Kristensen, Simon
2 Lapointe, Mélodie
2 Lertchoosakul, Poj
2 Levesley, Jason
2 Lin, Zhixing
2 Martin, Bruno
2 Matzke, Ryan W.
2 Moshchevitin, Nikolay G.
2 Perucca, Antonella
2 Petrache, Mircea
2 Provençal, Xavier
2 Ray, Prasanta Kumar
2 Sablik, Mathieu
2 Saff, Edward Barry
2 Sebők, Richárd
2 Sgobba, Pietro
2 Shatskov, Denis O.
2 Sirvent, Víctor F.
2 Steiner, Wolfgang
2 Svane, Anne Marie
2 Takashima, Keizo
2 Thonhauser, Stefan
2 Topuzoǧlu, Alev
2 Vandehey, Joseph
2 Winterhof, Arne
2 Ziegler, Volker
1 Abramov, M. V.
...and 254 more Authors
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Cited in 114 Journals

31 Journal of Number Theory
17 Monatshefte für Mathematik
14 Journal of Complexity
12 Periodica Mathematica Hungarica
10 Proceedings of the American Mathematical Society
10 Finite Fields and their Applications
8 Acta Arithmetica
7 Israel Journal of Mathematics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Indagationes Mathematicae. New Series
7 The Ramanujan Journal
6 Discrete Mathematics
6 Mathematics of Computation
6 Functiones et Approximatio. Commentarii Mathematici
6 Acta Mathematica Hungarica
6 Journal de Théorie des Nombres de Bordeaux
5 Journal of Mathematical Analysis and Applications
5 Archiv der Mathematik
5 Theoretical Computer Science
5 International Journal of Number Theory
4 Mathematical Notes
4 Integers
3 Discrete Applied Mathematics
3 Lithuanian Mathematical Journal
3 Rocky Mountain Journal of Mathematics
3 Journal of Approximation Theory
3 Ergodic Theory and Dynamical Systems
3 Discrete & Computational Geometry
3 Designs, Codes and Cryptography
3 Aequationes Mathematicae
3 Tatra Mountains Mathematical Publications
3 The Journal of Fourier Analysis and Applications
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Physics
2 Advances in Mathematics
2 Annales de l’Institut Fourier
2 Czechoslovak Mathematical Journal
2 Journal of Optimization Theory and Applications
2 Mathematische Nachrichten
2 Mathematica Slovaca
2 Numerische Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Transactions of the American Mathematical Society
2 Advances in Applied Mathematics
2 Discrete and Continuous Dynamical Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Chebyshevskiĭ Sbornik
2 Proceedings of the Steklov Institute of Mathematics
2 Cryptography and Communications
1 Analysis Mathematica
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Physics Letters. A
1 Problems of Information Transmission
1 Arkiv för Matematik
1 Applied Mathematics and Computation
1 BIT
1 Bulletin of the London Mathematical Society
1 Colloquium Mathematicum
1 Compositio Mathematica
1 Information Sciences
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of Computational and Applied Mathematics
1 Manuscripta Mathematica
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Mathematika
1 Quaestiones Mathematicae
1 Semigroup Forum
1 SIAM Journal on Numerical Analysis
1 Transactions of the Moscow Mathematical Society
1 Topology and its Applications
1 Combinatorica
1 Journal of Symbolic Computation
1 Probability Theory and Related Fields
1 Constructive Approximation
1 International Journal of Foundations of Computer Science
1 Stochastic Processes and their Applications
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Mathematical Imaging and Vision
1 Applied Mathematics. Series B (English Edition)
1 Topology Proceedings
1 Journal of Mathematical Sciences (New York)
1 The Electronic Journal of Combinatorics
1 Complexity
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Theory of Computing Systems
1 Taiwanese Journal of Mathematics
1 Annals of Combinatorics
1 Journal of Integer Sequences
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Acta et Commentationes Universitatis Tartuensis de Mathematica
1 Dynamical Systems
1 Journal of the Australian Mathematical Society
1 Journal of Machine Learning Research (JMLR)
1 Central European Journal of Mathematics
...and 14 more Journals
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Cited in 38 Fields

273 Number theory (11-XX)
40 Numerical analysis (65-XX)
31 Dynamical systems and ergodic theory (37-XX)
22 Computer science (68-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
21 Probability theory and stochastic processes (60-XX)
17 Combinatorics (05-XX)
16 Measure and integration (28-XX)
14 Information and communication theory, circuits (94-XX)
10 Convex and discrete geometry (52-XX)
7 Group theory and generalizations (20-XX)
7 Functional analysis (46-XX)
5 Algebraic geometry (14-XX)
5 Real functions (26-XX)
5 Difference and functional equations (39-XX)
5 Approximations and expansions (41-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Mechanics of deformable solids (74-XX)
4 Operations research, mathematical programming (90-XX)
3 Mathematical logic and foundations (03-XX)
3 Field theory and polynomials (12-XX)
3 Potential theory (31-XX)
3 Partial differential equations (35-XX)
3 Sequences, series, summability (40-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Statistics (62-XX)
2 Commutative algebra (13-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functions of a complex variable (30-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Quantum theory (81-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Mechanics of particles and systems (70-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year