Bradshaw, Zachary P.; Vignat, Christophe An operational calculus generalization of Ramanujan’s master theorem. (English) Zbl 07668604 J. Math. Anal. Appl. 523, No. 2, Article ID 127029, 20 p. (2023). MSC: 44A45 44A10 PDFBibTeX XMLCite \textit{Z. P. Bradshaw} and \textit{C. Vignat}, J. Math. Anal. Appl. 523, No. 2, Article ID 127029, 20 p. (2023; Zbl 07668604) Full Text: DOI arXiv
Dilcher, Karl; Vignat, Christophe On a result of Koecher concerning Markov-Apéry-type formulas for the Riemann zeta function. (English) Zbl 1526.11048 Int. J. Number Theory 19, No. 4, 709-731 (2023). Reviewer: Kamel Mazhouda (Monastir) MSC: 11M06 11M32 33C05 PDFBibTeX XMLCite \textit{K. Dilcher} and \textit{C. Vignat}, Int. J. Number Theory 19, No. 4, 709--731 (2023; Zbl 1526.11048) Full Text: DOI arXiv
Amdeberhan, Tewodros; Moll, Victor Hugo; Straub, Armin; Vignat, Christophe A triple integral analog of a multiple zeta value. (English) Zbl 1469.11315 Int. J. Number Theory 17, No. 2, 223-237 (2021). Reviewer: István Mező (Nanjing) MSC: 11M32 PDFBibTeX XMLCite \textit{T. Amdeberhan} et al., Int. J. Number Theory 17, No. 2, 223--237 (2021; Zbl 1469.11315) Full Text: DOI arXiv
Vignat, Christophe; Wakhare, Tanay Finite generating functions for the sum-of-digits sequence. (English) Zbl 1464.11016 Ramanujan J. 50, No. 3, 639-684 (2019). Reviewer: Jean-Paul Allouche (Paris) MSC: 11A63 11B85 PDFBibTeX XMLCite \textit{C. Vignat} and \textit{T. Wakhare}, Ramanujan J. 50, No. 3, 639--684 (2019; Zbl 1464.11016) Full Text: DOI arXiv
Dilcher, Karl; Straub, Armin; Vignat, Christophe Identities for Bernoulli polynomials related to multiple Tornheim zeta functions. (English) Zbl 1437.11034 J. Math. Anal. Appl. 476, No. 2, 569-584 (2019). MSC: 11B68 05A19 PDFBibTeX XMLCite \textit{K. Dilcher} et al., J. Math. Anal. Appl. 476, No. 2, 569--584 (2019; Zbl 1437.11034) Full Text: DOI arXiv
Dilcher, Karl; Vignat, Christophe Infinite products involving Dirichlet characters and cyclotomic polynomials. (English) Zbl 1396.33002 Adv. Appl. Math. 100, 43-70 (2018). MSC: 33B15 11M32 PDFBibTeX XMLCite \textit{K. Dilcher} and \textit{C. Vignat}, Adv. Appl. Math. 100, 43--70 (2018; Zbl 1396.33002) Full Text: DOI arXiv
Vignat, Christophe; Wakhare, Tanay Woon’s tree and sums over compositions. (English) Zbl 1384.05032 J. Integer Seq. 21, No. 3, Article 18.3.4, 23 p. (2018). MSC: 05A15 11B68 PDFBibTeX XMLCite \textit{C. Vignat} and \textit{T. Wakhare}, J. Integer Seq. 21, No. 3, Article 18.3.4, 23 p. (2018; Zbl 1384.05032) Full Text: arXiv Link
Dilcher, Karl; Vignat, Christophe An explicit form of the polynomial part of a restricted partition function. (English) Zbl 1392.11080 Res. Number Theory 3, Paper No. 1, 12 p. (2017). MSC: 11P81 11B68 PDFBibTeX XMLCite \textit{K. Dilcher} and \textit{C. Vignat}, Res. Number Theory 3, Paper No. 1, 12 p. (2017; Zbl 1392.11080) Full Text: DOI
Amdeberhan, Tewodros; Dixit, Atul; Guan, Xiao; Jiu, Lin; Kuznetsov, Alexey; Moll, Victor H.; Vignat, Christophe The integrals in Gradshteyn and Ryzhik. Part 30: trigonometric functions. (English) Zbl 1429.33002 Sci., Ser. A, Math. Sci. (N.S.) 27, 47-74 (2016). MSC: 33B10 00A20 33C10 33C45 PDFBibTeX XMLCite \textit{T. Amdeberhan} et al., Sci., Ser. A, Math. Sci. (N.S.) 27, 47--74 (2016; Zbl 1429.33002) Full Text: Link
Dilcher, Karl; Vignat, Christophe Euler and the strong law of small numbers. (English) Zbl 1391.11001 Am. Math. Mon. 123, No. 5, 486-490 (2016). MSC: 11-03 11M06 01A50 PDFBibTeX XMLCite \textit{K. Dilcher} and \textit{C. Vignat}, Am. Math. Mon. 123, No. 5, 486--490 (2016; Zbl 1391.11001) Full Text: DOI
Amdeberhan, Tewodros; Guan, X.; Jiu, L.; Moll, Victor H.; Vignat, Christophe A series involving Catalan numbers: proofs and demonstrations. (English) Zbl 1354.11022 Elem. Math. 71, No. 3, 109-121 (2016). MSC: 11B83 11Y60 33C05 PDFBibTeX XMLCite \textit{T. Amdeberhan} et al., Elem. Math. 71, No. 3, 109--121 (2016; Zbl 1354.11022) Full Text: DOI
Dixit, Atul; Glasser, M. Lawrence; Moll, Victor H.; Vignat, Christophe Asymptotics and exact formulas for Zagier polynomials. (English) Zbl 1396.11100 Res. Number Theory 2, Paper No. 12, 26 p. (2016). MSC: 11J72 11C20 33D15 41A20 PDFBibTeX XMLCite \textit{A. Dixit} et al., Res. Number Theory 2, Paper No. 12, 26 p. (2016; Zbl 1396.11100) Full Text: DOI arXiv
Borwein, Jonathan M.; Straub, Armin; Vignat, Christophe Densities of short uniform random walks in higher dimensions. (English) Zbl 1333.60086 J. Math. Anal. Appl. 437, No. 1, 668-707 (2016). MSC: 60G50 PDFBibTeX XMLCite \textit{J. M. Borwein} et al., J. Math. Anal. Appl. 437, No. 1, 668--707 (2016; Zbl 1333.60086) Full Text: DOI arXiv
Dilcher, Karl; Vignat, Christophe General convolution identities for Bernoulli and Euler polynomials. (English) Zbl 1400.11063 J. Math. Anal. Appl. 435, No. 2, 1478-1498 (2016). MSC: 11B68 05A40 33C47 47B39 PDFBibTeX XMLCite \textit{K. Dilcher} and \textit{C. Vignat}, J. Math. Anal. Appl. 435, No. 2, 1478--1498 (2016; Zbl 1400.11063) Full Text: DOI arXiv
De Angelis, Valerio; Vignat, Christophe Euler polynomials and identities for non-commutative operators. (English) Zbl 1328.81137 J. Math. Phys. 56, No. 12, 123506, 17 p. (2015). MSC: 81S05 11B68 81Q10 81Q12 81Q15 PDFBibTeX XMLCite \textit{V. De Angelis} and \textit{C. Vignat}, J. Math. Phys. 56, No. 12, 123506, 17 p. (2015; Zbl 1328.81137) Full Text: DOI arXiv HAL
Dixit, Atul; Jiu, Lin; Moll, Victor H.; Vignat, Christophe The finite Fourier transform of classical polynomials. (English) Zbl 1396.33021 J. Aust. Math. Soc. 98, No. 2, 145-160 (2015). MSC: 33C45 33C47 33C10 42C10 PDFBibTeX XMLCite \textit{A. Dixit} et al., J. Aust. Math. Soc. 98, No. 2, 145--160 (2015; Zbl 1396.33021) Full Text: DOI arXiv
Dixit, Atul; Moll, Victor H.; Vignat, Christophe The Zagier modification of Bernoulli numbers and a polynomial extension. I. (English) Zbl 1372.11024 Ramanujan J. 33, No. 3, 379-422 (2014). MSC: 11B68 33C45 05A15 05A40 PDFBibTeX XMLCite \textit{A. Dixit} et al., Ramanujan J. 33, No. 3, 379--422 (2014; Zbl 1372.11024) Full Text: DOI arXiv
Amdeberhan, Tewodros; De Angelis, Valerio; Dixit, Atul; Moll, Victor H.; Vignat, Christophe From sequences to polynomials and back, via operator orderings. (English) Zbl 1285.81039 J. Math. Phys. 54, No. 12, 123502, 15 p. (2013). MSC: 81S05 81R15 PDFBibTeX XMLCite \textit{T. Amdeberhan} et al., J. Math. Phys. 54, No. 12, 123502, 15 p. (2013; Zbl 1285.81039) Full Text: DOI arXiv
Srivastava, H. M.; Vignat, Christophe Probabilistic proofs of some relationships between the Bernoulli and Euler polynomials. (English) Zbl 1362.11032 Eur. J. Pure Appl. Math. 5, No. 2, 97-107 (2012). MSC: 11B68 60E07 11B83 62E15 PDFBibTeX XMLCite \textit{H. M. Srivastava} and \textit{C. Vignat}, Eur. J. Pure Appl. Math. 5, No. 2, 97--107 (2012; Zbl 1362.11032) Full Text: Link
Amdeberhan, Tewodros; Moll, Victor H.; Vignat, Christophe The evaluation of a quartic integral via Schwinger, Schur and Bessel. (English) Zbl 1276.33005 Ramanujan J. 28, No. 1, 1-14 (2012). MSC: 33C05 33C10 33F10 PDFBibTeX XMLCite \textit{T. Amdeberhan} et al., Ramanujan J. 28, No. 1, 1--14 (2012; Zbl 1276.33005) Full Text: DOI arXiv