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.; Dixit, Atul; Gupta, Rajat; Zaharescu, Alexandru Two general series identities involving modified Bessel functions and a class of arithmetical functions. (English) Zbl 07755500 Can. J. Math. 75, No. 6, 1800-1830 (2023). MSC: 33C10 33C05 11A25 11M06 11M32 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Can. J. Math. 75, No. 6, 1800--1830 (2023; Zbl 07755500) Full Text: DOI arXiv
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
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
Berndt, Bruce C.; Fassina, Martino; Kim, Sun; Zaharescu, Alexandru Two-parameter identities for divisor sums in algebraic number fields. (English) Zbl 1474.11159 J. Math. Anal. Appl. 506, No. 2, Article ID 125679, 25 p. (2022). MSC: 11N37 11R42 33C10 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., J. Math. Anal. Appl. 506, No. 2, Article ID 125679, 25 p. (2022; Zbl 1474.11159) 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
Berndt, Bruce C.; Malik, Amita; Zaharescu, Alexandru Partitions into \(k\)th powers of terms in an arithmetic progression. (English) Zbl 1412.11129 Math. Z. 290, No. 3-4, 1277-1307 (2018). Reviewer: Mihály Szalay (Budapest) MSC: 11P82 11N37 11P55 11P83 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Math. Z. 290, No. 3--4, 1277--1307 (2018; Zbl 1412.11129) Full Text: DOI
Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru The circle problem of Gauss and the divisor problem of Dirichlet – still unsolved. (English) Zbl 1396.11001 Am. Math. Mon. 125, No. 2, 99-114 (2018). MSC: 11-02 11N37 11P21 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Am. Math. Mon. 125, No. 2, 99--114 (2018; Zbl 1396.11001) Full Text: DOI
Berndt, Bruce C.; Dixit, Atul; Kim, Sun; Zaharescu, Alexandru On a theorem of A. I. Popov on sums of squares. (English) Zbl 1422.11077 Proc. Am. Math. Soc. 145, No. 9, 3795-3808 (2017). MSC: 11E25 33C10 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Proc. Am. Math. Soc. 145, No. 9, 3795--3808 (2017; Zbl 1422.11077) Full Text: DOI arXiv
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru Error functions, Mordell integrals and an integral analogue of a partial theta function. (English) Zbl 1393.11058 Acta Arith. 177, No. 1, 1-37 (2017). Reviewer: Richard B. Paris (Dundee) MSC: 11M06 33B20 33C15 34E05 PDFBibTeX XMLCite \textit{A. Dixit} et al., Acta Arith. 177, No. 1, 1--37 (2017; Zbl 1393.11058) Full Text: DOI arXiv
Berndt, Bruce C.; Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan. (English) Zbl 1396.11103 Adv. Math. 304, 809-929 (2017). MSC: 11M06 33C10 33E30 11N37 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Adv. Math. 304, 809--929 (2017; Zbl 1396.11103) Full Text: DOI arXiv
Roy, Arindam; Zaharescu, Alexandru; Zaki, Mohammad Some identities involving convolutions of Dirichlet characters and the Möbius function. (English) Zbl 1412.11091 Proc. Indian Acad. Sci., Math. Sci. 126, No. 1, 21-33 (2016). MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{A. Roy} et al., Proc. Indian Acad. Sci., Math. Sci. 126, No. 1, 21--33 (2016; Zbl 1412.11091) Full Text: DOI
Dixit, Atul; Robles, Nicolas; Roy, Arindam; Zaharescu, Alexandru Koshliakov kernel and identities involving the Riemann zeta function. (English) Zbl 1396.11104 J. Math. Anal. Appl. 435, No. 2, 1107-1128 (2016). MSC: 11M06 11M35 33C10 PDFBibTeX XMLCite \textit{A. Dixit} et al., J. Math. Anal. Appl. 435, No. 2, 1107--1128 (2016; Zbl 1396.11104) Full Text: DOI arXiv
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru Riesz-type criteria and theta transformation analogues. (English) Zbl 1396.11105 J. Number Theory 160, 385-408 (2016). MSC: 11M06 11M26 33C15 PDFBibTeX XMLCite \textit{A. Dixit} et al., J. Number Theory 160, 385--408 (2016; Zbl 1396.11105) 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
Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru Ramanujan-Hardy-Littlewood-Riesz phenomena for Hecke forms. (English) Zbl 1383.11064 J. Math. Anal. Appl. 426, No. 1, 594-611 (2015). MSC: 11F60 11M26 PDFBibTeX XMLCite \textit{A. Dixit} et al., J. Math. Anal. Appl. 426, No. 1, 594--611 (2015; Zbl 1383.11064) Full Text: DOI
Dixit, Atul; Robles, Nicolas; Roy, Arindam; Zaharescu, Alexandru Zeros of combinations of the Riemann \(\xi\)-function on bounded vertical shifts. (English) Zbl 1381.11065 J. Number Theory 149, 404-434 (2015). MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{A. Dixit} et al., J. Number Theory 149, 404--434 (2015; Zbl 1381.11065) 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. 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
Alkan, Emre; Zaharescu, Alexandru On the gaps in the Fourier expansion of cusp forms. (English) Zbl 1213.11100 Ramanujan J. 16, No. 1, 41-52 (2008). MSC: 11F30 11N36 11N75 PDFBibTeX XMLCite \textit{E. Alkan} and \textit{A. Zaharescu}, Ramanujan J. 16, No. 1, 41--52 (2008; Zbl 1213.11100) Full Text: DOI
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
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
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
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
Berndt, Bruce C.; Zaharescu, Alexandru A multi-variable theta product. (English) Zbl 1027.11039 Indag. Math., New Ser. 13, No. 1, 11-22 (2002). Reviewer: Heng Huat Chan (Singapor) MSC: 11F99 05A19 PDFBibTeX XMLCite \textit{B. C. Berndt} and \textit{A. Zaharescu}, Indag. Math., New Ser. 13, No. 1, 11--22 (2002; Zbl 1027.11039) Full Text: DOI
Berndt, Bruce C.; Zaharescu, Alexandru An integral of Dedekind \(\eta\)-functions in Ramanujan’s lost notebook. (English) Zbl 1001.11017 J. Reine Angew. Math. 551, 33-39 (2002). MSC: 11F20 33D15 PDFBibTeX XMLCite \textit{B. C. Berndt} and \textit{A. Zaharescu}, J. Reine Angew. Math. 551, 33--39 (2002; Zbl 1001.11017) Full Text: DOI
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
Zaharescu, Alexandru On a conjecture of Graham. (English) Zbl 0629.10003 J. Number Theory 27, 33-40 (1987). Reviewer: I.Anderson MSC: 11A05 11N05 PDFBibTeX XMLCite \textit{A. Zaharescu}, J. Number Theory 27, 33--40 (1987; Zbl 0629.10003) Full Text: DOI