Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru Finite trigonometric sums arising from Ramanujan’s theta functions. (English) Zbl 07812004 Ramanujan J. 63, No. 3, 673-685 (2024). MSC: 11L03 33B10 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Ramanujan J. 63, No. 3, 673--685 (2024; Zbl 07812004) Full Text: DOI arXiv
Shkredov, Ilya D.; Shparlinski, Igor E.; Zaharescu, Alexandru On the distribution of modular square roots of primes. (English) Zbl 07807524 Math. Z. 306, No. 3, Paper No. 43, 17 p. (2024). MSC: 11K38 11L07 11L20 PDFBibTeX XMLCite \textit{I. D. Shkredov} et al., Math. Z. 306, No. 3, Paper No. 43, 17 p. (2024; Zbl 07807524) Full Text: DOI arXiv OA License
Berndt, Bruce C.; Robles, Nicolas; Zaharescu, Alexandru; Zeindler, Dirk Partitions with multiplicities associated with divisor functions. (English) Zbl 07791618 J. Math. Anal. Appl. 533, No. 1, Article ID 127987, 32 p. (2024). MSC: 11P82 11P55 11M06 11L20 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., J. Math. Anal. Appl. 533, No. 1, Article ID 127987, 32 p. (2024; Zbl 07791618) Full Text: DOI
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru Evaluations and relations for finite trigonometric sums. arXiv:2403.03445 Preprint, arXiv:2403.03445 [math.NT] (2024). MSC: 11L03 33B10 BibTeX Cite \textit{B. C. Berndt} et al., ``Evaluations and relations for finite trigonometric sums'', Preprint, arXiv:2403.03445 [math.NT] (2024) Full Text: arXiv OA License
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru Exact evaluations and reciprocity theorems for finite trigonometric sums. (English) Zbl 07751282 Res. Math. Sci. 10, No. 4, Paper No. 40, 70 p. (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 33B10 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Res. Math. Sci. 10, No. 4, Paper No. 40, 70 p. (2023; Zbl 07751282) Full Text: DOI arXiv
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
Berndt, Bruce C.; Fassina, Martino; Kim, Sun; Zaharescu, Alexandru Balanced derivatives, identities, and bounds for trigonometric and Bessel series. (English) Zbl 1503.11109 Adv. Math. 395, Article ID 108085, 40 p. (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11L03 33C10 11L07 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Adv. Math. 395, Article ID 108085, 40 p. (2022; Zbl 1503.11109) Full Text: DOI arXiv
Das, Madhuparna; Robles, Nicolas; Zaharescu, Alexandru; Zeindler, Dirk Partitions into semiprimes. arXiv:2212.12489 Preprint, arXiv:2212.12489 [math.NT] (2022). MSC: 11P55 11L03 11P82 11L20 11M41 BibTeX Cite \textit{M. Das} et al., ``Partitions into semiprimes'', Preprint, arXiv:2212.12489 [math.NT] (2022) Full Text: arXiv OA License
Dunn, Alexander; Kerr, Bryce; Shparlinski, Igor E.; Zaharescu, Alexandru Bilinear forms in Weyl sums for modular square roots and applications. (English) Zbl 1469.11270 Adv. Math. 375, Article ID 107369, 58 p. (2020). MSC: 11L07 11E25 11K38 11L20 11N32 PDFBibTeX XMLCite \textit{A. Dunn} et al., Adv. Math. 375, Article ID 107369, 58 p. (2020; Zbl 1469.11270) Full Text: DOI arXiv
Pratt, Kyle; Robles, Nicolas; Zaharescu, Alexandru; Zeindler, Dirk More than five-twelfths of the zeros of \(\zeta\) are on the critical line. (English) Zbl 1505.11116 Res. Math. Sci. 7, No. 1, Paper No. 2, 74 p. (2020). MSC: 11M26 11L07 11M06 05A18 PDFBibTeX XMLCite \textit{K. Pratt} et al., Res. Math. Sci. 7, No. 1, Paper No. 2, 74 p. (2020; Zbl 1505.11116) Full Text: DOI arXiv
Berndt, Bruce C.; Li, Junxian; Zaharescu, Alexandru The final problem: an identity from Ramanujan’s lost notebook. (English) Zbl 1431.33005 J. Lond. Math. Soc., II. Ser. 100, No. 2, 568-591 (2019). Reviewer: Richard B. Paris (Dundee) MSC: 33C10 11L07 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., J. Lond. Math. Soc., II. Ser. 100, No. 2, 568--591 (2019; Zbl 1431.33005) Full Text: DOI
Chaubey, Sneha; Tamazyan, Albert; Zaharescu, Alexandru Lattice point problems involving index and joint visibility. (English) Zbl 1457.11135 Proc. Am. Math. Soc. 147, No. 8, 3273-3288 (2019). MSC: 11P21 11L07 PDFBibTeX XMLCite \textit{S. Chaubey} et al., Proc. Am. Math. Soc. 147, No. 8, 3273--3288 (2019; Zbl 1457.11135) Full Text: DOI
Donepudi, Ravi; Li, Junxian; Zaharescu, Alexandru Exact evaluation of second moments associated with some families of curves over a finite field. (English) Zbl 1398.11149 Finite Fields Appl. 48, 331-355 (2017). MSC: 11T23 11T06 11G20 PDFBibTeX XMLCite \textit{R. Donepudi} et al., Finite Fields Appl. 48, 331--355 (2017; Zbl 1398.11149) Full Text: DOI
Robles, Nicolas; Roy, Arindam; Zaharescu, Alexandru Twisted second moments of the Riemann zeta-function and applications. (English) Zbl 1383.11103 J. Math. Anal. Appl. 434, No. 1, 271-314 (2016). MSC: 11M06 11M26 30B50 PDFBibTeX XMLCite \textit{N. Robles} et al., J. Math. Anal. Appl. 434, No. 1, 271--314 (2016; Zbl 1383.11103) Full Text: DOI
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru Weighted divisor sums and Bessel function series. V. (English) Zbl 1326.33007 J. Approx. Theory 197, 101-114 (2015). Reviewer: István Mező (Debrecen) MSC: 33C10 11L03 11M99 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., J. Approx. Theory 197, 101--114 (2015; Zbl 1326.33007) Full Text: DOI
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
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru Weighted divisor sums and Bessel function series. III. (English) Zbl 1326.11057 J. Reine Angew. Math. 683, 67-96 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 11N37 33C10 11L03 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., J. Reine Angew. Math. 683, 67--96 (2013; Zbl 1326.11057) Full Text: DOI
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru Circle and divisor problems, and double series of Bessel functions. (English) Zbl 1326.11059 Adv. Math. 236, 24-59 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 11P21 33C10 11L07 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Adv. Math. 236, 24--59 (2013; Zbl 1326.11059) Full Text: DOI
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru Weighted divisor sums and Bessel function series. IV. (English) Zbl 1270.11098 Ramanujan J. 29, No. 1-3, 79-102 (2012). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 11P21 11E25 11L03 11L05 11M06 33C10 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Ramanujan J. 29, No. 1--3, 79--102 (2012; Zbl 1270.11098) Full Text: DOI
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru Weighted divisor sums and Bessel function series. II. (English) Zbl 1236.33010 Adv. Math. 229, No. 3, 2055-2097 (2012). Reviewer: Peter Massopust (München) MSC: 11L03 33C10 11N37 11E25 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Adv. Math. 229, No. 3, 2055--2097 (2012; Zbl 1236.33010) Full Text: DOI
Demeter, Ciprian; Zaharescu, Alexandru Proof of the HRT conjecture for configurations. (English) Zbl 1236.26011 J. Math. Anal. Appl. 388, No. 1, 151-159 (2012). Reviewer: Christoph Aistleitner (Graz) MSC: 26A99 11A55 11K60 11L03 42A05 PDFBibTeX XMLCite \textit{C. Demeter} and \textit{A. Zaharescu}, J. Math. Anal. Appl. 388, No. 1, 151--159 (2012; Zbl 1236.26011) Full Text: DOI arXiv
Mak, Kit-Ho; Zaharescu, Alexandru The distribution of values of short hybrid exponential sums on curves over finite fields. (English) Zbl 1331.11110 Math. Res. Lett. 18, No. 1, 155-174 (2011). MSC: 11T23 11T24 11G20 PDFBibTeX XMLCite \textit{K.-H. Mak} and \textit{A. Zaharescu}, Math. Res. Lett. 18, No. 1, 155--174 (2011; Zbl 1331.11110) Full Text: DOI arXiv
Tsai, Mu-Tsun; Zaharescu, Alexandru On the action of permutations on distances between values of rational functions mod \(p\). (English) Zbl 1267.11085 Finite Fields Appl. 17, No. 5, 481-487 (2011). MSC: 11K36 11L07 11T23 PDFBibTeX XMLCite \textit{M.-T. Tsai} and \textit{A. Zaharescu}, Finite Fields Appl. 17, No. 5, 481--487 (2011; Zbl 1267.11085) Full Text: DOI
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)
Berndt, Bruce C.; Zaharescu, Alexandru Weighted divisor sums and Bessel function series. (English) Zbl 1100.33001 Math. Ann. 335, No. 2, 249-283 (2006). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 33C10 11A25 11L03 11P21 40A05 40B05 PDFBibTeX XMLCite \textit{B. C. Berndt} and \textit{A. Zaharescu}, Math. Ann. 335, No. 2, 249--283 (2006; Zbl 1100.33001) Full Text: DOI
Bonciocat, Nicolae Ciprian; Zaharescu, Alexandru Some elementary zero-free regions for Dirichlet series and power series. (English) Zbl 1107.30004 Acta Comment. Univ. Tartu. Math. 9, 33-42 (2005). Reviewer: Jürgen Müller (Trier) MSC: 30B50 30B10 PDFBibTeX XMLCite \textit{N. C. Bonciocat} and \textit{A. Zaharescu}, Acta Comment. Univ. Tartu. Math. 9, 33--42 (2005; Zbl 1107.30004)
Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru Determinations of analogues of Gauss sums and other trigonometric sums. (English) Zbl 1088.11064 Int. J. Number Theory 1, No. 3, 333-356 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 11L03 11R29 11L10 PDFBibTeX XMLCite \textit{M. Beck} et al., Int. J. Number Theory 1, No. 3, 333--356 (2005; Zbl 1088.11064) 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
Granville, Andrew; Shparlinski, Igor E.; Zaharescu, Alexandru On the distribution of rational functions along a curve over \(\mathbb F_p\) and residue races. (English) Zbl 1068.11043 J. Number Theory 112, No. 2, 216-237 (2005). Reviewer: Peter Shiu (Loughborough) MSC: 11G20 11T99 11L07 11N69 PDFBibTeX XMLCite \textit{A. Granville} et al., J. Number Theory 112, No. 2, 216--237 (2005; Zbl 1068.11043) 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
Berndt, Bruce C.; Zaharescu, Alexandru Finite trigonometric sums and class numbers. (English) Zbl 1099.11039 Math. Ann. 330, No. 3, 551-575 (2004). Reviewer: Tom M. Apostol (Pasadena) MSC: 11L03 11R29 11L10 11R11 PDFBibTeX XMLCite \textit{B. C. Berndt} and \textit{A. Zaharescu}, Math. Ann. 330, No. 3, 551--575 (2004; Zbl 1099.11039) Full Text: DOI
Cobeli, C. I.; Gonek, S. M.; Zaharescu, A. The distribution of patterns of inverses modulo a prime. (English) Zbl 1086.11045 J. Number Theory 101, No. 2, 209-222 (2003). Reviewer: Pieter Moree (Bonn) MSC: 11N69 11T23 11K31 11K45 11L05 PDFBibTeX XMLCite \textit{C. I. Cobeli} et al., J. Number Theory 101, No. 2, 209--222 (2003; Zbl 1086.11045) Full Text: DOI
Vâjâitu, Marian; Zaharescu, Alexandru Exponential sums and their role in number theory. II. (English) Zbl 1053.11070 Rev. Roum. Math. Pures Appl. 47, No. 1, 135-148 (2002). Reviewer: Scott T. Parsell (Indianapolis) (MR 2004e:11084) MSC: 11L03 11G25 11J71 11K36 11L05 11L07 11M38 11T23 PDFBibTeX XMLCite \textit{M. Vâjâitu} and \textit{A. Zaharescu}, Rev. Roum. Math. Pures Appl. 47, No. 1, 135--148 (2002; Zbl 1053.11070)
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, 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
Zaharescu, Alexandru Averages of short exponential sums. II. (English) Zbl 1012.11074 Acta Arith. 100, No. 4, 339-348 (2001). Reviewer: Jürgen Hinz (Marburg) MSC: 11L07 11L05 PDFBibTeX XMLCite \textit{A. Zaharescu}, Acta Arith. 100, No. 4, 339--348 (2001; Zbl 1012.11074) 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
Vâjâitu, Marian; Zaharescu, Alexandru Exponential sums and their role in number theory. I. (English) Zbl 0995.11051 Rev. Roum. Math. Pures Appl. 45, No. 6, 1031-1045 (2000). MSC: 11L03 11-02 11J71 11L20 11L15 11L07 PDFBibTeX XMLCite \textit{M. Vâjâitu} and \textit{A. Zaharescu}, Rev. Roum. Math. Pures Appl. 45, No. 6, 1031--1045 (2000; Zbl 0995.11051)
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)
Rudnick, Zeév; Zaharescu, Alexandru A metric result on the pair correlation of fractional parts of sequences. (English) Zbl 0961.11028 Acta Arith. 89, No. 3, 283-293 (1999). Reviewer: R.F.Tichy (Graz) MSC: 11K55 11J54 PDFBibTeX XMLCite \textit{Z. Rudnick} and \textit{A. Zaharescu}, Acta Arith. 89, No. 3, 283--293 (1999; Zbl 0961.11028) Full Text: DOI EuDML Link
Zaharescu, Alexandru Averages of short exponential sums. (English) Zbl 0936.11048 Acta Arith. 88, No. 3, 223-231 (1999). Reviewer: J.Hinz (Marburg) MSC: 11L07 11J71 PDFBibTeX XMLCite \textit{A. Zaharescu}, Acta Arith. 88, No. 3, 223--231 (1999; Zbl 0936.11048) Full Text: DOI EuDML
Vâjâitu, Marian; Zaharescu, Alexandru A finiteness theorem for a class of exponential congruences. (English) Zbl 0927.11001 Proc. Am. Math. Soc. 127, No. 8, 2225-2232 (1999). Reviewer: J.Hinz (Marburg) MSC: 11A07 PDFBibTeX XMLCite \textit{M. Vâjâitu} and \textit{A. Zaharescu}, Proc. Am. Math. Soc. 127, No. 8, 2225--2232 (1999; Zbl 0927.11001) Full Text: DOI