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
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
Bhat, Raghavendra; Cobeli, Cristian; Zaharescu, Alexandru Filtered rays over iterated absolute differences on layers of integers. arXiv:2309.03922 Preprint, arXiv:2309.03922 [math.NT] (2023). BibTeX Cite \textit{R. Bhat} et al., ``Filtered rays over iterated absolute differences on layers of integers'', Preprint, arXiv:2309.03922 [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
Bhat, Raghavendra N; Cobeli, Cristian; Zaharescu, Alexandru On Quasi-Periodicity in Proth-Gilbreath Triangles. arXiv:2307.11776 Preprint, arXiv:2307.11776 [math.NT] (2023). BibTeX Cite \textit{R. N Bhat} et al., ``On Quasi-Periodicity in Proth-Gilbreath Triangles'', Preprint, arXiv:2307.11776 [math.NT] (2023) Full Text: arXiv OA License
Alexandru, Victor; Cobeli, Cristian; Vâjâitu, Marian; Zaharescu, Alexandru Statistical distribution of Fermat quotients. (English) Zbl 1504.11008 Chaos Solitons Fractals 161, Article ID 112335, 6 p. (2022). MSC: 11A07 11L40 11D41 11N69 11N25 PDFBibTeX XMLCite \textit{V. Alexandru} et al., Chaos Solitons Fractals 161, Article ID 112335, 6 p. (2022; Zbl 1504.11008) Full Text: DOI
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
Cobeli, Cristian; Zaharescu, Alexandru Factorials \(\pmod p\) and the average of modular mappings. arXiv:2011.07582 Preprint, arXiv:2011.07582 [math.NT] (2020). MSC: 11N69 49J55 65C10 BibTeX Cite \textit{C. Cobeli} and \textit{A. Zaharescu}, ``Factorials $\pmod p$ and the average of modular mappings'', Preprint, arXiv:2011.07582 [math.NT] (2020) Full Text: arXiv OA License
Cobeli, Cristian; Zaharescu, Alexandru A bias parity question for Sturmian words. arXiv:1811.06509 Preprint, arXiv:1811.06509 [math.NT] (2018). MSC: 68R15 BibTeX Cite \textit{C. Cobeli} and \textit{A. Zaharescu}, ``A bias parity question for Sturmian words'', Preprint, arXiv:1811.06509 [math.NT] (2018) Full Text: arXiv OA License
Cobeli, Cristian; Prunescu, Mihai; Zaharescu, Alexandru A growth model based on the arithmetic \(Z\)-game. (English) Zbl 1372.37027 Chaos Solitons Fractals 91, 136-147 (2016). MSC: 37B15 68Q80 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Chaos Solitons Fractals 91, 136--147 (2016; Zbl 1372.37027) Full Text: DOI arXiv
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
Athreya, Jayadev S.; Cobeli, Cristian; Zaharescu, Alexandru Radial density in Apollonian packings. (English) Zbl 1328.52009 Int. Math. Res. Not. 2015, No. 20, 9991-10011 (2015). MSC: 52C15 PDFBibTeX XMLCite \textit{J. S. Athreya} et al., Int. Math. Res. Not. 2015, No. 20, 9991--10011 (2015; Zbl 1328.52009) Full Text: DOI arXiv
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
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
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)
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
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)
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)
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
Cobeli, Cristian; Zaharescu, Alexandru On the Intervals of a Third between Farey Fractions. arXiv:math/0511363 Preprint, arXiv:math/0511363 [math.NT] (2005). MSC: 11N37 BibTeX Cite \textit{C. Cobeli} and \textit{A. Zaharescu}, ``On the Intervals of a Third between Farey Fractions'', Preprint, arXiv:math/0511363 [math.NT] (2005) Full Text: arXiv
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, C.; Panaitopol, L.; Vâjâitu, M.; Zaharescu, A. Some asymptotic formulas involving primes in arithmetic progressions. (English) Zbl 1065.11074 Comment. Math. Univ. St. Pauli 53, No. 1, 23-35 (2004). Reviewer: Aleksandar Ivić (Beograd) MSC: 11N13 11N37 11N56 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Comment. Math. Univ. St. Pauli 53, No. 1, 23--35 (2004; Zbl 1065.11074)
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
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
Cobeli, Cristian; Zaharescu, Alexandru A question of the distribution of points on a curve over a finite field. (English) Zbl 1096.11501 Acta Univ. Apulensis, Math. Inform. 4, 65-76 (2002). MSC: 11G20 11L05 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, Acta Univ. Apulensis, Math. Inform. 4, 65--76 (2002; Zbl 1096.11501) Full Text: EuDML
Cobeli, C.; Vâjâitu, M.; Zaharescu, A. A class of algebraic-exponential congruences modulo \(p\). (English) Zbl 1048.11100 Acta Math. Univ. Comen., New Ser. 71, No. 1, 113-117 (2002). MSC: 11T99 11A07 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Acta Math. Univ. Comen., New Ser. 71, No. 1, 113--117 (2002; Zbl 1048.11100) Full Text: EuDML EMIS
Cobeli, Cristian; Vâjâitu, Marian; Zaharescu, Alexandru On the set \(ax+bg^ x\pmod p\). (English) Zbl 1039.11049 Port. Math. (N.S.) 59, No. 2, 195-203 (2002). Reviewer: Olivier Ramaré (Lille) MSC: 11K31 11A07 11K45 11L07 11T23 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Port. Math. (N.S.) 59, No. 2, 195--203 (2002; Zbl 1039.11049)
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
Cobeli, Cristian; Zaharescu, Alexandru Distribution of a sparse set of fractions modulo \(q\). (English) Zbl 1149.11316 Bull. Lond. Math. Soc. 33, No. 2, 138-148 (2001). MSC: 11N69 11L07 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, Bull. Lond. Math. Soc. 33, No. 2, 138--148 (2001; Zbl 1149.11316) Full Text: DOI
Cobeli, C.; Vâjâitu, M.; Zaharescu, A. Equidistribution of rational functions of primes mod \(q\). (English) Zbl 1007.11049 J. Ramanujan Math. Soc. 16, No. 1, 63-73 (2001). Reviewer: Cem Yalçin Yildirim (Bebek, İstanbul) MSC: 11K36 11N69 11L07 PDFBibTeX XMLCite \textit{C. Cobeli} et al., J. Ramanujan Math. Soc. 16, No. 1, 63--73 (2001; Zbl 1007.11049)
Cobeli, Cristian; Zaharescu, Alexandru On the distribution of the \({\mathbb{F}}_p\)-points on an affine curve in \(r\) dimensions. (English) Zbl 1025.11021 Acta Arith. 99, No. 4, 321-329 (2001). Reviewer: Everett W.Howe (San Diego) MSC: 11G20 14H25 14G15 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, Acta Arith. 99, No. 4, 321--329 (2001; Zbl 1025.11021) 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
Cobeli, Cristian; Zaharescu, Alexandru Generalization of a problem of Lehmer. (English) Zbl 1034.11042 Manuscr. Math. 104, No. 3, 301-307 (2001). Reviewer: Olaf Ninnemann (Berlin) MSC: 11L05 11G20 11G07 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, Manuscr. Math. 104, No. 3, 301--307 (2001; Zbl 1034.11042) 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, Cristian; Zaharescu, Alexandru The order of inverses mod \(q\). (English) Zbl 1031.11058 Mathematika 47, No. 1-2, 87-108 (2000). Reviewer: Christian Elsholtz (Surrey) MSC: 11N69 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, Mathematika 47, No. 1--2, 87--108 (2000; Zbl 1031.11058) Full Text: DOI
Boca, Florin P.; Cobeli, Cristian; Zaharescu, Alexandru Distribution of lattice points visible from the origin. (English) Zbl 0989.11049 Commun. Math. Phys. 213, No. 2, 433-470 (2000). Reviewer: Ekkehard Krätzel (Wien) MSC: 11P21 PDFBibTeX XMLCite \textit{F. P. Boca} et al., Commun. Math. Phys. 213, No. 2, 433--470 (2000; Zbl 0989.11049) Full Text: DOI
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)
Cobeli, Cristian; Zaharescu, Alexandru An exponential congruence with solutions in primitive roots. (English) Zbl 0995.11003 Rev. Roum. Math. Pures Appl. 44, No. 1, 15-22 (1999). MSC: 11A07 11L40 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, Rev. Roum. Math. Pures Appl. 44, No. 1, 15--22 (1999; Zbl 0995.11003)
Cobeli, Cristian; Zaharescu, Alexandru On the distribution of primitive roots mod \(p\). (English) Zbl 0892.11003 Acta Arith. 83, No. 2, 143-153 (1998). Reviewer: Jürgen Hinz (Marburg) MSC: 11A07 11N69 PDFBibTeX XMLCite \textit{C. Cobeli} and \textit{A. Zaharescu}, Acta Arith. 83, No. 2, 143--153 (1998; Zbl 0892.11003) Full Text: DOI EuDML
Cobeli, Cristian; Vâjâitu, Marian; Zaharescu, Alexandru Graham’s conjecture under Riemann hypothesis. (English) Zbl 0659.10004 J. Number Theory 31, No. 1, 80-87 (1989). Reviewer: R.Sitaramachandrarao MSC: 11A05 11A25 PDFBibTeX XMLCite \textit{C. Cobeli} et al., J. Number Theory 31, No. 1, 80--87 (1989; Zbl 0659.10004) Full Text: DOI