Anderson, Jack; Cobeli, Cristian; Zaharescu, Alexandru Counterintuitive patterns on angles and distances between lattice points in high dimensional hypercubes. (English) Zbl 07812538 Result. Math. 79, No. 2, Paper No. 94, 20 p. (2024). MSC: 11B99 11K99 11P21 51M20 52Bxx PDFBibTeX XMLCite \textit{J. Anderson} et al., Result. Math. 79, No. 2, Paper No. 94, 20 p. (2024; Zbl 07812538) Full Text: DOI arXiv
Cobeli, Cristian; Zaharescu, Alexandru On the discrete trajectories of a self-propelled particle. arXiv:2403.14894 Preprint, arXiv:2403.14894 [math.NT] (2024). MSC: 11B37 11B50 BibTeX Cite \textit{C. Cobeli} and \textit{A. Zaharescu}, ``On the discrete trajectories of a self-propelled particle'', Preprint, arXiv:2403.14894 [math.NT] (2024) Full Text: arXiv OA License
Bhat, Raghavendra N.; Cobeli, Cristian; Zaharescu, Alexandru A lozenge triangulation of the plane with integers. arXiv:2403.10500 Preprint, arXiv:2403.10500 [math.NT] (2024). MSC: 11B37 11B50 52C20 BibTeX Cite \textit{R. N. Bhat} et al., ``A lozenge triangulation of the plane with integers'', Preprint, arXiv:2403.10500 [math.NT] (2024) Full Text: arXiv OA License
Berndt, Bruce C.; Xie, Likun; Zaharescu, Alexandru Proofs of McIntosh’s conjecture on Franel integrals and two generalizations. (English) Zbl 07681931 Adv. Math. 423, Article ID 109041, 25 p. (2023). Reviewer: Juan Luis Varona (Logroño) MSC: 11B68 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Adv. Math. 423, Article ID 109041, 25 p. (2023; Zbl 07681931) Full Text: DOI arXiv
Alexandru, Victor; Cobeli, Cristian; Vâjâitu, Marian; Zaharescu, Alexandru On Wieferich and non-Wieferich primes with prime bases. (English) Zbl 1518.11006 Mediterr. J. Math. 20, No. 2, Paper No. 93, 15 p. (2023). Reviewer: Mihai Prunescu (București) MSC: 11A41 11B25 PDFBibTeX XMLCite \textit{V. Alexandru} et al., Mediterr. J. Math. 20, No. 2, Paper No. 93, 15 p. (2023; Zbl 1518.11006) Full Text: DOI
Anderson, Jack; Boca, Florin P.; Cobeli, Cristian; Zaharescu, Alexandru Angular distribution towards the points of the neighbor-flips modular curve seen by a fast moving observer. arXiv:2312.14993 Preprint, arXiv:2312.14993 [math.NT] (2023). MSC: 11P21 11B05 11L07 BibTeX Cite \textit{J. Anderson} et al., ``Angular distribution towards the points of the neighbor-flips modular curve seen by a fast moving observer'', Preprint, arXiv:2312.14993 [math.NT] (2023) Full Text: arXiv OA License
Anderson, Jack; Boca, Florin P.; Cobeli, Cristian; Zaharescu, Alexandru Distribution of angles to lattice points seen from a fast moving observer. arXiv:2307.14656 Preprint, arXiv:2307.14656 [math.NT] (2023). MSC: 11P21 11K99 11B99 BibTeX Cite \textit{J. Anderson} et al., ``Distribution of angles to lattice points seen from a fast moving observer'', Preprint, arXiv:2307.14656 [math.NT] (2023) Full Text: arXiv OA License
Athreya, Jayadev S.; Cobeli, Cristian; Zaharescu, Alexandru Visibility phenomena in hypercubes. arXiv:2204.03147 Preprint, arXiv:2204.03147 [math.NT] (2022). MSC: 11B99 11K99 11P21 51M20 52Bxx BibTeX Cite \textit{J. S. Athreya} et al., ``Visibility phenomena in hypercubes'', Preprint, arXiv:2204.03147 [math.NT] (2022) Full Text: arXiv OA License
Li, Junxian; Tamazyan, Albert; Zaharescu, Alexandru Ducci iterates and similar ordering of visible points in convex regions. (English) Zbl 1473.11044 Int. J. Number Theory 16, No. 1, 1-28 (2020). Reviewer: Emre Alkan (Istanbul) MSC: 11B57 11B99 PDFBibTeX XMLCite \textit{J. Li} et al., Int. J. Number Theory 16, No. 1, 1--28 (2020; Zbl 1473.11044) Full Text: DOI
Hutchinson, S. Corinne; Zaharescu, Alexandru Parabolas infiltrating the Ford circles. (English) Zbl 1363.11028 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 59(107), No. 2, 175-185 (2016). MSC: 11B57 PDFBibTeX XMLCite \textit{S. C. Hutchinson} and \textit{A. Zaharescu}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 59(107), No. 2, 175--185 (2016; Zbl 1363.11028)
Polanco, Geremías; Schultz, Daniel; Zaharescu, Alexandru Continuous distributions arising from the three gap theorem. (English) Zbl 1396.11041 Int. J. Number Theory 12, No. 7, 743-1754 (2016). MSC: 11B57 11K36 11J71 PDFBibTeX XMLCite \textit{G. Polanco} et al., Int. J. Number Theory 12, No. 7, 743--1754 (2016; Zbl 1396.11041) Full Text: DOI arXiv
Chaubey, Sneha; Lanius, Melinda; Zaharescu, Alexandru Pair correlation of fractional parts derived from rational valued sequences. II. (English) Zbl 1350.11078 J. Number Theory 158, 151-164 (2016). Reviewer: Florian Pausinger (Garching) MSC: 11K99 11B83 PDFBibTeX XMLCite \textit{S. Chaubey} et al., J. Number Theory 158, 151--164 (2016; Zbl 1350.11078) Full Text: DOI
Cobeli, Cristian; Zaharescu, Alexandru On the geometry behind a recurrent relation. (English) Zbl 1349.11034 Carpathian J. Math. 31, No. 2, 165-172 (2015). MSC: 11B57 11B37 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, Carpathian J. Math. 31, No. 2, 165--172 (2015; Zbl 1349.11034) Full Text: arXiv
Andrica, Dorin; Chaubey, Sneha; Ionascu, Eugen J.; Zaharescu, Alexandru On a conjecture on the number of polynomials with coefficients in \([n]\). (English) Zbl 1389.11063 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 58(106), No. 1, 19-31 (2015). MSC: 11B83 11C08 PDFBibTeX XMLCite \textit{D. Andrica} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 58(106), No. 1, 19--31 (2015; Zbl 1389.11063)
Athreya, Jayadev; Chaubey, Sneha; Malik, Amita; Zaharescu, Alexandru Geometry of Farey-Ford polygons. (English) Zbl 1360.37007 New York J. Math. 21, 637-656 (2015). MSC: 37A17 11B57 37D40 60D99 PDFBibTeX XMLCite \textit{J. Athreya} et al., New York J. Math. 21, 637--656 (2015; Zbl 1360.37007) Full Text: arXiv EMIS
Chaubey, Sneha; Lanius, Melinda; Zaharescu, Alexandru Pair correlation of fractional parts derived from rational valued sequences. (English) Zbl 1323.11059 J. Number Theory 151, 147-158 (2015). Reviewer: Robert F. Tichy (Graz) MSC: 11K31 11B99 PDFBibTeX XMLCite \textit{S. Chaubey} et al., J. Number Theory 151, 147--158 (2015; Zbl 1323.11059) Full Text: DOI
Chaubey, Sneha; Malik, Amita; Zaharescu, Alexandru \(k\)-moments of distances between centers of Ford circles. (English) Zbl 1308.11017 J. Math. Anal. Appl. 422, No. 2, 906-919 (2015). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11B57 51M99 11M06 11L05 PDFBibTeX XMLCite \textit{S. Chaubey} et al., J. Math. Anal. Appl. 422, No. 2, 906--919 (2015; Zbl 1308.11017) Full Text: DOI
Chaubey, Sneha; Lanius, Melinda; Zaharescu, Alexandru Irrational factor races. (English) Zbl 1358.11105 Proc. Indian Acad. Sci., Math. Sci. 124, No. 4, 471-479 (2014). MSC: 11N37 11B25 PDFBibTeX XMLCite \textit{S. Chaubey} et al., Proc. Indian Acad. Sci., Math. Sci. 124, No. 4, 471--479 (2014; Zbl 1358.11105) Full Text: DOI
Cobeli, Cristian; Zaharescu, Alexandru A game with divisors and absolute differences of exponents. (English) Zbl 1361.11016 J. Difference Equ. Appl. 20, No. 11, 1489-1501 (2014). MSC: 11B85 39A10 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, J. Difference Equ. Appl. 20, No. 11, 1489--1501 (2014; Zbl 1361.11016) Full Text: DOI arXiv
Meng, Xianchang; Zaharescu, Alexandru A multivariable Mayer-Erdős phenomenon. (English) Zbl 1378.11027 J. Korean Math. Soc. 51, No. 5, 1029-1044 (2014). MSC: 11B57 PDFBibTeX XMLCite \textit{X. Meng} and \textit{A. Zaharescu}, J. Korean Math. Soc. 51, No. 5, 1029--1044 (2014; Zbl 1378.11027) Full Text: DOI Link
Spiegelhalter, Paul; Zaharescu, Alexandru A class of arithmetic functions on \(\mathrm{PSL}_2(\mathbb{Z})\). II. (English) Zbl 1292.11111 Bull. Korean Math. Soc. 51, No. 2, 443-455 (2014). Reviewer: Krassimir Atanassov (Sofia) MSC: 11N37 11B99 PDFBibTeX XMLCite \textit{P. Spiegelhalter} and \textit{A. Zaharescu}, Bull. Korean Math. Soc. 51, No. 2, 443--455 (2014; Zbl 1292.11111) Full Text: DOI Link
Caragiu, Mihai; Zaharescu, Alexandru; Zaki, Mohammad On Ducci sequences with primes. (English) Zbl 1351.11009 Fibonacci Q. 52, No. 1, 32-38 (2014). MSC: 11B37 05B10 11A41 11B83 PDFBibTeX XMLCite \textit{M. Caragiu} et al., Fibonacci Q. 52, No. 1, 32--38 (2014; Zbl 1351.11009) Full Text: Link
Cobeli, Cristian; Gallot, Yves; Moree, Pieter; Zaharescu, Alexandru Sister Beiter and Kloosterman: a tale of cyclotomic coefficients and modular inverses. (English) Zbl 1312.11016 Indag. Math., New Ser. 24, No. 4, 915-929 (2013). Reviewer: Henri Johnston (Exeter) MSC: 11B83 11L05 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Indag. Math., New Ser. 24, No. 4, 915--929 (2013; Zbl 1312.11016) Full Text: DOI arXiv
Caragiu, Mihai; Zaharescu, Alexandru; Zaki, Mohammad An analogue of the Proth-Gilbreath conjecture. (English) Zbl 1287.11009 Far East J. Math. Sci. (FJMS) 81, No. 1, 1-12 (2013). MSC: 11A41 11B37 PDFBibTeX XMLCite \textit{M. Caragiu} et al., Far East J. Math. Sci. (FJMS) 81, No. 1, 1--12 (2013; Zbl 1287.11009) Full Text: Link
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru Diophantine approximation of the exponential function and Sondow’s conjecture. (English) Zbl 1292.11079 Adv. Math. 248, 1298-1331 (2013). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J70 11A55 11B50 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Adv. Math. 248, 1298--1331 (2013; Zbl 1292.11079) Full Text: DOI
Cobeli, Cristian; Zaharescu, Alexandru Promenade around Pascal triangle – number motives. (English) Zbl 1289.11001 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 56(104), No. 1, 73-98 (2013). MSC: 11-02 11B65 11L05 11B50 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 56(104), No. 1, 73--98 (2013; Zbl 1289.11001)
Spiegelhalter, Paul; Zaharescu, Alexandru A class of arithmetic functions on \(\mathrm{PSL}_2(\mathbb{Z})\). (English) Zbl 1285.11011 Bull. Korean Math. Soc. 50, No. 2, 601-610 (2013). Reviewer: Krassimir Atanassov (Sofia) MSC: 11A25 11N37 11B57 PDFBibTeX XMLCite \textit{P. Spiegelhalter} and \textit{A. Zaharescu}, Bull. Korean Math. Soc. 50, No. 2, 601--610 (2013; Zbl 1285.11011) Full Text: DOI Link
Tran, Khang; Zaharescu, Alexandru Pair correlation of roots of rational functions with rational generating functions and quadratic denominators. (English) Zbl 1323.11009 Ramanujan J. 31, No. 1-2, 129-145 (2013). MSC: 11B05 11K99 PDFBibTeX XMLCite \textit{K. Tran} and \textit{A. Zaharescu}, Ramanujan J. 31, No. 1--2, 129--145 (2013; Zbl 1323.11009) Full Text: DOI arXiv
Cobeli, Cristian; Vâjâitu, Marian; Zaharescu, Alexandru The distribution of rationals in residue classes. (English) Zbl 1313.11044 Math. Rep., Buchar. 14(64), No. 1, 1-19 (2012). MSC: 11B57 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Math. Rep., Buchar. 14(64), No. 1, 1--19 (2012; Zbl 1313.11044) Full Text: arXiv
Caragiu, Mihai; Zaharescu, Alexandru; Zaki, Mohammad On a class of solvable recurrences with primes. (English) Zbl 1287.11008 JP J. Algebra Number Theory Appl. 26, No. 2, 197-208 (2012). Reviewer: József Sándor (Cluj-Napoca) MSC: 11A41 11B37 PDFBibTeX XMLCite \textit{M. Caragiu} et al., JP J. Algebra Number Theory Appl. 26, No. 2, 197--208 (2012; Zbl 1287.11008) Full Text: Link
Lamzouri, Youness; Zaharescu, Alexandru Randomness of character sums modulo \(m\). (English) Zbl 1320.11076 J. Number Theory 132, No. 12, 2779-2792 (2012). MSC: 11L40 11B50 60G50 PDFBibTeX XMLCite \textit{Y. Lamzouri} and \textit{A. Zaharescu}, J. Number Theory 132, No. 12, 2779--2792 (2012; Zbl 1320.11076) Full Text: DOI arXiv
Bowman, Douglas; Zaharescu, Alexandru Natural numbers \(n\) for which \(\lfloor n\alpha +s\rfloor \not =\lfloor n\beta +s\rfloor \). (English) Zbl 1276.11026 Acta Arith. 154, No. 3, 217-233 (2012). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11B57 11K55 11K50 11A55 PDFBibTeX XMLCite \textit{D. Bowman} and \textit{A. Zaharescu}, Acta Arith. 154, No. 3, 217--233 (2012; Zbl 1276.11026) Full Text: DOI
Caragiu, Mihai; Zaharescu, Alexandru; Zaki, Mohammad On Ducci sequences with algebraic numbers. (English) Zbl 1219.11039 Fibonacci Q. 49, No. 1, 34-40 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11B83 PDFBibTeX XMLCite \textit{M. Caragiu} et al., Fibonacci Q. 49, No. 1, 34--40 (2011; Zbl 1219.11039) Full Text: Link
Xiong, Maosheng; Zaharescu, Alexandru Correlation of fractions with divisibility constraints. (English) Zbl 1226.11072 Math. Nachr. 284, No. 2-3, 393-407 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11J71 11B57 11K36 PDFBibTeX XMLCite \textit{M. Xiong} and \textit{A. Zaharescu}, Math. Nachr. 284, No. 2--3, 393--407 (2011; Zbl 1226.11072) Full Text: DOI
Cobeli, Cristian; Vajaitu, Marian; Zaharescu, Alexandru A density theorem on even Farey fractions. (English) Zbl 1254.11021 Rev. Roum. Math. Pures Appl. 55, No. 6, 447-481 (2010). Reviewer: Stefan Porubsky (Prague 8) MSC: 11B57 11K31 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Rev. Roum. Math. Pures Appl. 55, No. 6, 447--481 (2010; Zbl 1254.11021)
Zaharescu, Alexandru; Zaki, Mohammad On the parity of the number of multiplicative partitions. (English) Zbl 1248.11078 Acta Arith. 145, No. 3, 221-232 (2010). Reviewer: Mihály Szalay (Budapest) MSC: 11P83 11B99 05A17 PDFBibTeX XMLCite \textit{A. Zaharescu} and \textit{M. Zaki}, Acta Arith. 145, No. 3, 221--232 (2010; Zbl 1248.11078) Full Text: DOI
Cobeli, Cristian; Vâjâitu, Marian; Zaharescu, Alexandru On the intervals of a third between Farey fractions. (English) Zbl 1212.11081 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 53(101), No. 3, 239-250 (2010). Reviewer: Jozsef Sandor (R.-Jud. Harghita) MSC: 11N37 11B57 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 53(101), No. 3, 239--250 (2010; Zbl 1212.11081)
Alkan, Emre; Zaharescu, Alexandru Corrigendum for “Consecutive large gaps in sequences defined by multiplicative constraints”. (English) Zbl 1246.11157 Can. Math. Bull. 53, No. 2, 204-205 (2010). MSC: 11N25 11B05 PDFBibTeX XMLCite \textit{E. Alkan} and \textit{A. Zaharescu}, Can. Math. Bull. 53, No. 2, 204--205 (2010; Zbl 1246.11157) Full Text: DOI
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru Pair correlation of sums of rationals with bounded height. (English) Zbl 1218.11069 J. Reine Angew. Math. 641, 21-67 (2010). Reviewer: Michael Coons (Waterloo) MSC: 11J71 11B57 62H20 PDFBibTeX XMLCite \textit{E. Alkan} et al., J. Reine Angew. Math. 641, 21--67 (2010; Zbl 1218.11069) Full Text: DOI
Alkan, Emre; Ledoan, Andrew H.; Vâjâitu, Marian; Zaharescu, Alexandru On the index of fractions with square-free denominators in arithmetic progressions. (English) Zbl 1182.11012 Ramanujan J. 16, No. 2, 131-161 (2008). Reviewer: Stephan Baier (Bristol) MSC: 11B57 11M06 11N25 PDFBibTeX XMLCite \textit{E. Alkan} et al., Ramanujan J. 16, No. 2, 131--161 (2008; Zbl 1182.11012) Full Text: DOI
Alkan, Emre; Ledoan, Andrew H.; Zaharescu, Alexandru On Dirichlet \(L\)-functions and the index of visible points. (English) Zbl 1234.11127 Ill. J. Math. 51, No. 2, 455-477 (2007). MSC: 11N37 11M06 11B57 PDFBibTeX XMLCite \textit{E. Alkan} et al., Ill. J. Math. 51, No. 2, 455--477 (2007; Zbl 1234.11127) Full Text: Euclid
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru Arithmetic mean of differences of Dedekind sums. (English) Zbl 1203.11037 Monatsh. Math. 151, No. 3, 175-187 (2007). MSC: 11F20 11B57 PDFBibTeX XMLCite \textit{E. Alkan} et al., Monatsh. Math. 151, No. 3, 175--187 (2007; Zbl 1203.11037) Full Text: DOI
Boca, Florin P.; Zaharescu, Alexandru The distribution of the free path lengths in the periodic two-dimensional Lorentz gas in the small-scatterer limit. (English) Zbl 1143.37002 Commun. Math. Phys. 269, No. 2, 425-471 (2007). MSC: 37A25 11B57 37A60 37D50 82C05 82C40 PDFBibTeX XMLCite \textit{F. P. Boca} and \textit{A. Zaharescu}, Commun. Math. Phys. 269, No. 2, 425--471 (2007; Zbl 1143.37002) Full Text: DOI arXiv
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru Local spacings along curves. (English) Zbl 1111.11007 J. Math. Anal. Appl. 329, No. 1, 721-735 (2007). Reviewer: Yukio Ohkubo (Kagoshima) MSC: 11B05 11K99 PDFBibTeX XMLCite \textit{E. Alkan} et al., J. Math. Anal. Appl. 329, No. 1, 721--735 (2007; Zbl 1111.11007) Full Text: DOI
Alkan, E.; Ledoan, A. H.; Vâjâitu, M.; Zaharescu, A. Discrepancy of sets of fractions with congruence constraints. (English) Zbl 1119.11043 Rev. Roum. Math. Pures Appl. 51, No. 3, 265-276 (2006). MSC: 11K38 11B57 11N25 PDFBibTeX XMLCite \textit{E. Alkan} et al., Rev. Roum. Math. Pures Appl. 51, No. 3, 265--276 (2006; Zbl 1119.11043)
Alkan, Emre; Ledoan, Andrew H.; Zaharescu, Alexandru A parity problem on the free path length of a billiard in the unit square with pockets. (English) Zbl 1128.11042 Funct. Approximatio, Comment. Math. 35, 19-36 (2006). Reviewer: Ekkehard Krätzel (Jena) MSC: 11P21 37D50 11B57 11L05 82C40 PDFBibTeX XMLCite \textit{E. Alkan} et al., Funct. Approximatio, Comment. Math. 35, 19--36 (2006; Zbl 1128.11042) Full Text: DOI Euclid
Xiong, Maosheng S.; Zaharescu, Alexandru A problem of Erdős-Szüsz-Turán on diophantine approximation. (English) Zbl 1156.11035 Acta Arith. 125, No. 2, 163-177 (2006). Reviewer: Simon Kristensen (Aarhus) MSC: 11K60 11J71 11B57 PDFBibTeX XMLCite \textit{M. S. Xiong} and \textit{A. Zaharescu}, Acta Arith. 125, No. 2, 163--177 (2006; Zbl 1156.11035) Full Text: DOI
Alkan, Emre; Ledoan, Andrew H.; Vâjâitu, Marian; Zaharescu, Alexandru Discrepancy of fractions with divisibility constraints. (English) Zbl 1106.11029 Monatsh. Math. 149, No. 3, 179-192 (2006). Reviewer: Yukio Ohkubo (Kagoshima) MSC: 11K38 11B57 11N25 PDFBibTeX XMLCite \textit{E. Alkan} et al., Monatsh. Math. 149, No. 3, 179--192 (2006; Zbl 1106.11029) Full Text: DOI
Zaharescu, Alexandru Borwein’s conjecture on average over arithmetic progressions. (English) Zbl 1161.11313 Ramanujan J. 11, No. 1, 95-102 (2006). MSC: 11B65 05A30 PDFBibTeX XMLCite \textit{A. Zaharescu}, Ramanujan J. 11, No. 1, 95--102 (2006; Zbl 1161.11313) Full Text: DOI
Cobeli, C.; Zaharescu, A. On the Farey fractions with denominators in arithmetic progression. (English) Zbl 1178.11019 J. Integer Seq. 9, No. 3, Article 06.3.4, 26 p. (2006). MSC: 11B57 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, J. Integer Seq. 9, No. 3, Article 06.3.4, 26 p. (2006; Zbl 1178.11019) Full Text: arXiv EuDML EMIS
Boca, Florin P.; Zaharescu, Alexandru Farey fractions and two-dimensional tori. (English) Zbl 1106.11005 Consani, Caterina (ed.) et al., Noncommutative geometry and number theory. Where arithmetic meets geometry and physics. Based on two workshops, Bonn, Germany, August 2003 and June 2004. Wiesbaden: Vieweg (ISBN 3-8348-0170-4/hbk). Aspects of Mathematics E 37, 57-77 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 11B57 11J71 11J54 11J83 11L05 11L07 PDFBibTeX XMLCite \textit{F. P. Boca} and \textit{A. Zaharescu}, in: Noncommutative geometry and number theory. Where arithmetic meets geometry and physics. Based on two workshops, Bonn, Germany, August 2003 and June 2004. Wiesbaden: Vieweg. 57--77 (2006; Zbl 1106.11005)
Zaharescu, Alexandru The Mayer-Erdős phenomenon. (English) Zbl 1137.11013 Indag. Math., New Ser. 17, No. 1, 147-156 (2006). Reviewer: Stephan Baier (Bremen) MSC: 11B57 PDFBibTeX XMLCite \textit{A. Zaharescu}, Indag. Math., New Ser. 17, No. 1, 147--156 (2006; Zbl 1137.11013) Full Text: DOI
Zaharescu, Alexandru Asymptotic formulas for a class of sums over consecutive Farey fractions. (English) Zbl 1110.11005 Acta Comment. Univ. Tartu. Math. 9, 5-8 (2005). Reviewer: K.-M. Tsang (Hong Kong) MSC: 11B57 PDFBibTeX XMLCite \textit{A. Zaharescu}, Acta Comment. Univ. Tartu. Math. 9, 5--8 (2005; Zbl 1110.11005)
Groza, Ghiocel; Vâjâitu, Marian; Zaharescu, Alexandru Primitive arcs on elliptic curves. (English) Zbl 1102.11037 Rev. Roum. Math. Pures Appl. 50, No. 1, 31-38 (2005). Reviewer: Marius Iosifescu (Bucureşti) MSC: 11K06 11B05 PDFBibTeX XMLCite \textit{G. Groza} et al., Rev. Roum. Math. Pures Appl. 50, No. 1, 31--38 (2005; Zbl 1102.11037)
Alkan, E.; Selvakumaran, T. V.; Zaharescu, A. A uniform distribution result for a billiard in a unit square. (English) Zbl 1330.11010 Glasg. Math. J. 47, No. 3, 529-547 (2005). MSC: 11B57 11K36 37A45 37D50 82B05 PDFBibTeX XMLCite \textit{E. Alkan} et al., Glasg. Math. J. 47, No. 3, 529--547 (2005; Zbl 1330.11010) Full Text: DOI
Boca, Florin P.; Zaharescu, Alexandru The correlations of Farey fractions. (English) Zbl 1089.11037 J. Lond. Math. Soc., II. Ser. 72, No. 1, 25-39 (2005). Reviewer: Peter Bundschuh (Köln) MSC: 11J71 11B57 11K36 PDFBibTeX XMLCite \textit{F. P. Boca} and \textit{A. Zaharescu}, J. Lond. Math. Soc., II. Ser. 72, No. 1, 25--39 (2005; Zbl 1089.11037) Full Text: DOI arXiv
Alkan, Emre; Zaharescu, Alexandru \(B\)-free numbers in short arithmetic progressions. (English) Zbl 1138.11339 J. Number Theory 113, No. 2, 226-243 (2005). MSC: 11N25 11B25 11L07 PDFBibTeX XMLCite \textit{E. Alkan} and \textit{A. Zaharescu}, J. Number Theory 113, No. 2, 226--243 (2005; Zbl 1138.11339) Full Text: DOI
Alkan, Emre; Zaharescu, Alexandru Nonvanishing of Fourier coefficients of newforms in progressions. (English) Zbl 1142.11029 Acta Arith. 116, No. 1, 81-98 (2005). MSC: 11F30 11B25 11L07 PDFBibTeX XMLCite \textit{E. Alkan} and \textit{A. Zaharescu}, Acta Arith. 116, No. 1, 81--98 (2005; Zbl 1142.11029) Full Text: DOI
Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru Continued fractions with three limit points. (English) Zbl 1131.11311 Adv. Math. 192, No. 2, 231-258 (2005). MSC: 11A55 11B65 33D15 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., Adv. Math. 192, No. 2, 231--258 (2005; Zbl 1131.11311) Full Text: DOI
Cobeli, Cristian; Zaharescu, Alexandru A density theorem on even Farey fractions. arXiv:math/0511362 Preprint, arXiv:math/0511362 [math.NT] (2005). MSC: 11B57 BibTeX Cite \textit{C. Cobeli} and \textit{A. Zaharescu}, ``A density theorem on even Farey fractions'', Preprint, arXiv:math/0511362 [math.NT] (2005) Full Text: arXiv
Cobeli, Cristian; Zaharescu, Alexandru The Haros-Farey sequence at two hundred years. A survey. (English) Zbl 1096.11005 Acta Univ. Apulensis, Math. Inform. 5, 1-38 (2003). MSC: 11B57 11-02 11-03 11M26 11N37 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, Acta Univ. Apulensis, Math. Inform. 5, 1--38 (2003; Zbl 1096.11005) Full Text: EuDML
Boca, Florin P.; Cobeli, Cristian; Zaharescu, Alexandru On the distribution of the Farey sequence with odd denominators. (English) Zbl 1053.11012 Mich. Math. J. 51, No. 3, 557-573 (2003). Reviewer: Ekkehard Krätzel (Jena) MSC: 11B57 11N37 PDFBibTeX XMLCite \textit{F. P. Boca} et al., Mich. Math. J. 51, No. 3, 557--573 (2003; Zbl 1053.11012) Full Text: DOI arXiv
Berndt, Bruce C.; Chan, Heng Huat; Zaharescu, Alexandru A quasi-theta product in Ramanujan’s lost notebook. (English) Zbl 1055.11015 Math. Proc. Camb. Philos. Soc. 135, No. 1, 11-18 (2003). Reviewer: Mark Sheingorn (New York) MSC: 11B65 33E05 33D15 33C75 11F30 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Math. Proc. Camb. Philos. Soc. 135, No. 1, 11--18 (2003; Zbl 1055.11015) Full Text: DOI
Boca, F. P.; Gologan, R. N.; Zaharescu, A. The average length of a trajectory in a certain billiard in a flat two-torus. (English) Zbl 1066.37021 New York J. Math. 9, 303-330 (2003). MSC: 37D50 11B57 11P21 PDFBibTeX XMLCite \textit{F. P. Boca} et al., New York J. Math. 9, 303--330 (2003; Zbl 1066.37021) Full Text: arXiv EuDML EMIS
Zaharescu, Alexandru Spacing distribution along curves. (English) Zbl 1034.11040 Adv. Stud. Contemp. Math., Kyungshang 7, No. 1, 61-67 (2003). Reviewer: Robert F. Tichy (Graz) MSC: 11K99 11B05 PDFBibTeX XMLCite \textit{A. Zaharescu}, Adv. Stud. Contemp. Math., Kyungshang 7, No. 1, 61--67 (2003; Zbl 1034.11040)
Cobeli, Cristian; Iordache, Adrian; Zaharescu, Alexandru The relative size of consecutive odd denominators in Farey series. (English) Zbl 1078.11012 Integers 3, Paper A07, 14 p. (2003). MSC: 11B57 11K31 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Integers 3, Paper A07, 14 p. (2003; Zbl 1078.11012) Full Text: EuDML
Cobeli, Cristian; Ford, Kevin; Zaharescu, Alexandru The jumping champions of the Farey series. (English) Zbl 1034.11013 Acta Arith. 110, No. 3, 259-274 (2003). Reviewer: E. Krätzel (Wien) MSC: 11B57 11N25 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Acta Arith. 110, No. 3, 259--274 (2003; Zbl 1034.11013) Full Text: DOI
Cobeli, C.; Vâjâitu, M.; Zaharescu, A. Distribution of gaps between the inverses mod \(q\). (English) Zbl 1034.11055 Proc. Edinb. Math. Soc., II. Ser. 46, No. 1, 185-203 (2003). Reviewer: Robert F. Tichy (Graz) MSC: 11N69 11K06 11B05 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Proc. Edinb. Math. Soc., II. Ser. 46, No. 1, 185--203 (2003; Zbl 1034.11055) Full Text: DOI
Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru On Ramanujan’s continued fraction for \((q^2;q^3)_{\infty}/(q;q^3)_{\infty}\). (English) Zbl 1063.33026 Trans. Am. Math. Soc. 355, No. 6, 2397-2411 (2003). Reviewer: Marcel G. de Bruin (Delft) MSC: 11A55 33D15 11B65 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., Trans. Am. Math. Soc. 355, No. 6, 2397--2411 (2003; Zbl 1063.33026) Full Text: DOI
Boca, Florin P.; Zaharescu, Alexandru; Gologan, Radu N. On the index of Farey sequences. (English) Zbl 1023.11007 Q. J. Math. 53, No. 4, 377-391 (2002). Reviewer: Ekkehard Krätzel (Wien) MSC: 11B57 11N64 PDFBibTeX XMLCite \textit{F. P. Boca} et al., Q. J. Math. 53, No. 4, 377--391 (2002; Zbl 1023.11007) Full Text: DOI arXiv
Vâjâitu, Marian; Zaharescu, Alexandru Distinct gaps between fractional parts of sequences. (English) Zbl 1006.11042 Proc. Am. Math. Soc. 130, No. 12, 3447-3452 (2002). Reviewer: Robert Tichy (Graz) MSC: 11K06 11B05 PDFBibTeX XMLCite \textit{M. Vâjâitu} and \textit{A. Zaharescu}, Proc. Am. Math. Soc. 130, No. 12, 3447--3452 (2002; Zbl 1006.11042) Full Text: DOI
Cobeli, C.; Groza, G.; Vâjâitu, M.; Zaharescu, A. Generalization of a theorem of Steinhaus. (English) Zbl 1006.11040 Colloq. Math. 92, No. 2, 257-266 (2002). Reviewer: Michael Drmota (Wien) MSC: 11K06 11B05 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Colloq. Math. 92, No. 2, 257--266 (2002; Zbl 1006.11040) Full Text: DOI
Augustin, Volker; Boca, Florin P.; Cobeli, Cristian; Zaharescu, Alexandru The \(h\)-spacing distribution between Farey points. (English) Zbl 1161.11312 Math. Proc. Camb. Philos. Soc. 131, No. 1, 23-38 (2001). MSC: 11B57 11N37 PDFBibTeX XMLCite \textit{V. Augustin} et al., Math. Proc. Camb. Philos. Soc. 131, No. 1, 23--38 (2001; Zbl 1161.11312) Full Text: DOI
Boca, Florin P.; Cobeli, Cristian; Zaharescu, Alexandru A conjecture of R. R. Hall on Farey points. (English) Zbl 1006.11053 J. Reine Angew. Math. 535, 207-236 (2001). Reviewer: Ekkehard Krätzel (Wien) MSC: 11N37 11B57 PDFBibTeX XMLCite \textit{F. P. Boca} et al., J. Reine Angew. Math. 535, 207--236 (2001; Zbl 1006.11053) Full Text: DOI
Cobeli, C. I.; Crâşmaru, M.; Zaharescu, A. A cellular automaton on a torus. (English) Zbl 0987.11011 Port. Math. 57, No. 3, 311-323 (2000). Reviewer: Valérie Berthé (Marseille) MSC: 11B85 11B50 11A07 68Q80 PDFBibTeX XMLCite \textit{C. I. Cobeli} et al., Port. Math. 57, No. 3, 311--323 (2000; Zbl 0987.11011) Full Text: EuDML
Cobeli, C.; Vâjâitu, M.; Zaharescu, A. The sequence \(n! \pmod p\). (English) Zbl 0962.11005 J. Ramanujan Math. Soc. 15, No. 2, 135-154 (2000). Reviewer: Jürgen Hinz (Marburg) MSC: 11A07 11B50 11L05 PDFBibTeX XMLCite \textit{C. Cobeli} et al., J. Ramanujan Math. Soc. 15, No. 2, 135--154 (2000; Zbl 0962.11005)