Gavalakis, Lampros; Kontoyiannis, Ioannis Entropy and the discrete central limit theorem. (English) Zbl 07812493 Stochastic Processes Appl. 170, Article ID 104294, 10 p. (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 94A17 60E15 PDFBibTeX XMLCite \textit{L. Gavalakis} and \textit{I. Kontoyiannis}, Stochastic Processes Appl. 170, Article ID 104294, 10 p. (2024; Zbl 07812493) Full Text: DOI arXiv
Ciaurri, Óscar Fractional moments. (English) Zbl 1521.33001 Integral Transforms Spec. Funct. 33, No. 10, 766-781 (2022). MSC: 33B10 11B68 33B15 PDFBibTeX XMLCite \textit{Ó. Ciaurri}, Integral Transforms Spec. Funct. 33, No. 10, 766--781 (2022; Zbl 1521.33001) Full Text: DOI arXiv
Bayad, Abdelmejid; Goubi, Mouloud Reciprocity formulae for generalized Dedekind-Vasyunin-Cotangent sums. (English) Zbl 1437.11059 Math. Methods Appl. Sci. 42, No. 4, 1082-1098 (2019). MSC: 11F20 11B68 11M35 11M26 PDFBibTeX XMLCite \textit{A. Bayad} and \textit{M. Goubi}, Math. Methods Appl. Sci. 42, No. 4, 1082--1098 (2019; Zbl 1437.11059) Full Text: DOI
Ahuja, Om P.; Kumar, Sushil; Ravichandran, V. Applications of first order differential subordination for functions with positive real part. (English) Zbl 1438.30021 Stud. Univ. Babeș-Bolyai, Math. 63, No. 3, 303-311 (2018). MSC: 30C45 PDFBibTeX XMLCite \textit{O. P. Ahuja} et al., Stud. Univ. Babeș-Bolyai, Math. 63, No. 3, 303--311 (2018; Zbl 1438.30021) Full Text: DOI
Goubi, Mouloud; Bayad, Abdelmejid; Hernane, Mohand Ouamar Explicit and asymptotic formulae for Vasyunin-cotangent sums. (English) Zbl 1499.11158 Publ. Inst. Math., Nouv. Sér. 102(116), 155-174 (2017). MSC: 11B99 11F67 11E45 11M26 11B68 PDFBibTeX XMLCite \textit{M. Goubi} et al., Publ. Inst. Math., Nouv. Sér. 102(116), 155--174 (2017; Zbl 1499.11158) Full Text: DOI
Du, Xiaoying; Zhang, Guozhi The sum of \({m^{{\text{th}}}}\) power parts of continued positive integers. (Chinese. English summary) Zbl 1399.11072 J. Ningxia Univ., Nat. Sci. Ed. 38, No. 4, 326-327 (2017). MSC: 11B83 PDFBibTeX XMLCite \textit{X. Du} and \textit{G. Zhang}, J. Ningxia Univ., Nat. Sci. Ed. 38, No. 4, 326--327 (2017; Zbl 1399.11072)
Giuliano, Rita; Weber, Michel Approximate local limit theorems with effective rate and application to random walks in random scenery. (English) Zbl 1407.60126 Bernoulli 23, No. 4B, 3268-3310 (2017). MSC: 60K37 60F17 60G50 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{M. Weber}, Bernoulli 23, No. 4B, 3268--3310 (2017; Zbl 1407.60126) Full Text: DOI arXiv Euclid
Weber, Michel A sharp correlation inequality with application to almost sure local limit theorem. (English) Zbl 1260.60063 Probab. Math. Stat. 31, No. 1, 79-98 (2011). MSC: 60F15 60G50 60F05 PDFBibTeX XMLCite \textit{M. Weber}, Probab. Math. Stat. 31, No. 1, 79--98 (2011; Zbl 1260.60063) Full Text: arXiv Link
Jaoude, Abdo Abou; El-Tawil, Khaled; Kadry, Seifedine Prediction in complex dimension using Kolmogorov’s set of axioms. (English) Zbl 1205.60007 J. Math. Stat. 6, No. 2, 116-124 (2010). Reviewer: Roman Frič (Košice) MSC: 60A05 62P30 PDFBibTeX XMLCite \textit{A. A. Jaoude} et al., J. Math. Stat. 6, No. 2, 116--124 (2010; Zbl 1205.60007) Full Text: DOI Link
Artikis, Constantinos T.; Artikis, Panagiotis T. Bernoulli selecting processes and integral part models in establishing properties and applications of a discrete distribution. (English) Zbl 1151.60305 J. Interdiscip. Math. 11, No. 3, 443-450 (2008). MSC: 60E05 PDFBibTeX XMLCite \textit{C. T. Artikis} and \textit{P. T. Artikis}, J. Interdiscip. Math. 11, No. 3, 443--450 (2008; Zbl 1151.60305) Full Text: DOI
Girstmair, Kurt Cyclotomic matrices and a limit formula for \(h^-_p\). (English) Zbl 0973.11094 Acta Arith. 97, No. 2, 129-155 (2001). Reviewer: G.Lettl (Graz) MSC: 11R18 11R29 11B68 PDFBibTeX XMLCite \textit{K. Girstmair}, Acta Arith. 97, No. 2, 129--155 (2001; Zbl 0973.11094) Full Text: DOI
Nowak, Werner Georg Fractional part sums and lattice points. (English) Zbl 0931.11039 Proc. Edinb. Math. Soc., II. Ser. 41, No. 3, 497-515 (1998). Reviewer: W.Recknagel (Ebenhausen) MSC: 11P21 11K99 11B68 PDFBibTeX XMLCite \textit{W. G. Nowak}, Proc. Edinb. Math. Soc., II. Ser. 41, No. 3, 497--515 (1998; Zbl 0931.11039) Full Text: DOI
Dabrowski, André Robert; McDonald, David An application of the Bernoulli part to local limit theorems for moving averages on stationary sequences. (English) Zbl 0873.60023 Can. J. Stat. 24, No. 3, 293-305 (1996). Reviewer: H.Dehling (Groningen) MSC: 60F99 60K05 PDFBibTeX XMLCite \textit{A. R. Dabrowski} and \textit{D. McDonald}, Can. J. Stat. 24, No. 3, 293--305 (1996; Zbl 0873.60023) Full Text: DOI
MacLeod, R. A. A curious identity for the Möbius function. (English) Zbl 0821.11003 Util. Math. 46, 91-95 (1994). Reviewer: P.Haukkanen (Tampere) MSC: 11A25 PDFBibTeX XMLCite \textit{R. A. MacLeod}, Util. Math. 46, 91--95 (1994; Zbl 0821.11003)
Schoißengeier, Johannes An asymptotic expansion for \(\sum_{n\leq N}\{n\alpha +\beta \}\). (English) Zbl 0722.11035 Number-theoretic analysis, Semin. Proc., Vienna/Austria 1988-89, Lect. Notes Math. 1452, 199-205 (1990). Reviewer: D.Leitmann (Garbsen) MSC: 11J54 11J70 11J71 PDFBibTeX XML
Schoißengeier, Johannes Eine explizite Formel für \(\sum _{n\leq N}B_ 2(\{n\alpha \})\). (An explicit formula for \(\sum _{n\leq N}B_ 2(\{n\alpha \}))\). (German) Zbl 0622.10007 Zahlentheoretische Analysis II, Wiener Seminarber. 1984/86, Lect. Notes Math. 1262, 134-138 (1987). Reviewer: D.Leitmann MSC: 11B39 11A55 PDFBibTeX XML
Balakrishnan, Uckath-Variyath; Srinivasan, Sheshadri A footnote to a conjecture in number theory. II. (English) Zbl 0632.10043 Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 10, No. 1, 43-44 (1986). Reviewer: R.Sitaramachandrarao MSC: 11N37 11B39 11L40 PDFBibTeX XMLCite \textit{U.-V. Balakrishnan} and \textit{S. Srinivasan}, Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 10, No. 1, 43--44 (1986; Zbl 0632.10043)
Srinivasan, Sheshadri A footnote to a conjecture in number theory. (English) Zbl 0632.10042 Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 10, No. 1, 39-42 (1986). MSC: 11N37 11B39 PDFBibTeX XMLCite \textit{S. Srinivasan}, Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 10, No. 1, 39--42 (1986; Zbl 0632.10042)
Sinnott, W. On the \(\mu\)-invariant of the \(\Gamma\)-transform of a rational function. (English) Zbl 0531.12004 Invent. Math. 75, 273-282 (1984). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11S40 11S80 11R58 11B39 PDFBibTeX XMLCite \textit{W. Sinnott}, Invent. Math. 75, 273--282 (1984; Zbl 0531.12004) Full Text: DOI EuDML
Kanemitsu, S.; Sitaramachandrarao, R. On a paper of S. Chowla and H. Walum. (English) Zbl 0483.10040 Skr., K. Nor. Vidensk. Selsk. 1, 3 p. (1982). MSC: 11N37 PDFBibTeX XML
MacLeod, R. A. Fractional part sums and divisor functions. (English) Zbl 0481.10044 J. Number Theory 14, 185-227 (1982). MSC: 11N37 11A25 PDFBibTeX XMLCite \textit{R. A. MacLeod}, J. Number Theory 14, 185--227 (1982; Zbl 0481.10044) Full Text: DOI
Hamada, T. R. Dynamic analysis of a beam under a moving force: A double Laplace transform solution. (English) Zbl 0474.73063 J. Sound Vib. 74, 221-233 (1981). MSC: 74K10 74H45 44A10 PDFBibTeX XMLCite \textit{T. R. Hamada}, J. Sound Vib. 74, 221--233 (1981; Zbl 0474.73063) Full Text: DOI
Erdős, Paul; Wagstaff, Samuel S. jun. The fractional parts of the Bernoulli numbers. (English) Zbl 0405.10011 Ill. J. Math. 24, 104-112 (1980). Reviewer: P.Erdős MSC: 11B39 PDFBibTeX XMLCite \textit{P. Erdős} and \textit{S. S. Wagstaff jun.}, Ill. J. Math. 24, 104--112 (1980; Zbl 0405.10011)
McDonald, David R. On local limit theorem for integer valued random variables. (English) Zbl 0411.60027 Teor. Veroyatn. Primen. 24, 607-614 (1979). MSC: 60F05 PDFBibTeX XMLCite \textit{D. R. McDonald}, Teor. Veroyatn. Primen. 24, 607--614 (1979; Zbl 0411.60027)
Kulikova, M. F. Numerical treatment of the problem of construction of Bernoulli-normal sequences of characters. (Russian) Zbl 0403.10022 Stud. in Number Theory, Saratov, Interuniv. Sci. Collect. 6, 100-108 (1975). MSC: 11K16 11K06 11K38 11A63 PDFBibTeX XML
Kluyver, J. C. The theorem of Clausen von Staudt. (Der Staudt-Clausen’sche Satz.) (German) JFM 31.0198.02 Math. Ann. 53, 591-592 (1900). Reviewer: Landau, Dr. (Berlin) MSC: 11B68 PDFBibTeX XMLCite \textit{J. C. Kluyver}, Math. Ann. 53, 591--592 (1900; JFM 31.0198.02) Full Text: DOI EuDML