Dixit, Atul; Kumar, Rahul A modular relation involving a generalized digamma function and asymptotics of some integrals containing \(\Xi(t)\). (English) Zbl 07666719 Hardy-Ramanujan J. 45, 140-151 (2022). MSC: 11M06 41A60 33E20 PDF BibTeX XML Cite \textit{A. Dixit} and \textit{R. Kumar}, Hardy-Ramanujan J. 45, 140--151 (2022; Zbl 07666719) Full Text: arXiv Link OpenURL
Hamieh, Alia; Ng, Nathan Mean values of long Dirichlet polynomials with higher divisor coefficients. (English) Zbl 07622204 Adv. Math. 410 B, Article ID 108759, 61 p. (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M06 11M26 11M41 11N37 11N75 PDF BibTeX XML Cite \textit{A. Hamieh} and \textit{N. Ng}, Adv. Math. 410 B, Article ID 108759, 61 p. (2022; Zbl 07622204) Full Text: DOI arXiv OpenURL
Qi, Feng Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of pi. (English) Zbl 07606391 Demonstr. Math. 55, 710-736 (2022). MSC: 41A58 05A19 11B73 11B83 11C08 11S05 12D05 26A24 26C05 33B10 PDF BibTeX XML Cite \textit{F. Qi}, Demonstr. Math. 55, 710--736 (2022; Zbl 07606391) Full Text: DOI arXiv OpenURL
Cai, Chuan-Yu; Chen, Lu; Huang, Ti-Ren; Chu, Yuming New properties for the Ramanujan \(R\)-function. (English) Zbl 07602796 Open Math. 20, 724-742 (2022). MSC: 33C05 33B15 26A51 26D20 PDF BibTeX XML Cite \textit{C.-Y. Cai} et al., Open Math. 20, 724--742 (2022; Zbl 07602796) Full Text: DOI OpenURL
Milgram, Michael Some additions to a family of sums and integrals related to Hurwitz’ zeta function(s), Euler polynomials and Euler numbers. (English) Zbl 07590043 Sci., Ser. A, Math. Sci. (N.S.) 32, 7-30 (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11M35 30B40 30E20 33C20 33C47 33E20 PDF BibTeX XML Cite \textit{M. Milgram}, Sci., Ser. A, Math. Sci. (N.S.) 32, 7--30 (2022; Zbl 07590043) Full Text: arXiv Link OpenURL
Garcia, Stephan Ramon; Lee, Ethan Simpson Explicit estimates for Artin \(L\)-functions: Duke’s short-sum theorem and Dedekind zeta residues. (English) Zbl 07569760 J. Number Theory 238, 920-943 (2022). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R42 11M06 11S40 PDF BibTeX XML Cite \textit{S. R. Garcia} and \textit{E. S. Lee}, J. Number Theory 238, 920--943 (2022; Zbl 07569760) Full Text: DOI arXiv OpenURL
Dixit, Atul; Gupta, Shivajee; Vatwani, Akshaa A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis. (English) Zbl 1491.11107 J. Math. Anal. Appl. 515, No. 2, Article ID 126435, 16 p. (2022). MSC: 11R42 11M26 11F27 PDF BibTeX XML Cite \textit{A. Dixit} et al., J. Math. Anal. Appl. 515, No. 2, Article ID 126435, 16 p. (2022; Zbl 1491.11107) Full Text: DOI arXiv OpenURL
Sofo, Anthony; Choi, Junesang Extension of the four Euler sums being linear with parameters and series involving the zeta functions. (English) Zbl 1491.11080 J. Math. Anal. Appl. 515, No. 1, Article ID 126370, 23 p. (2022). MSC: 11M35 11M41 PDF BibTeX XML Cite \textit{A. Sofo} and \textit{J. Choi}, J. Math. Anal. Appl. 515, No. 1, Article ID 126370, 23 p. (2022; Zbl 1491.11080) Full Text: DOI OpenURL
Guariglia, Emanuel Fractional calculus of the Lerch zeta function. (English) Zbl 1499.11278 Mediterr. J. Math. 19, No. 3, Paper No. 109, 11 p. (2022). MSC: 11M35 26A33 30D05 PDF BibTeX XML Cite \textit{E. Guariglia}, Mediterr. J. Math. 19, No. 3, Paper No. 109, 11 p. (2022; Zbl 1499.11278) Full Text: DOI OpenURL
Chaubey, Sneha; Goel, Shivani Mean value estimates of gcd and lcm-sums. (English) Zbl 1493.11007 Int. J. Number Theory 18, No. 3, 629-654 (2022). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A05 11A25 11M06 11N37 PDF BibTeX XML Cite \textit{S. Chaubey} and \textit{S. Goel}, Int. J. Number Theory 18, No. 3, 629--654 (2022; Zbl 1493.11007) Full Text: DOI arXiv OpenURL
Yağci, Oğuz; Şahin, Recep Solution of fractional kinetic equations involving generalized Hurwitz-Lerch zeta function using Sumudu transform. (English) Zbl 1489.44002 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 2, 678-689 (2021). MSC: 44A10 11M35 26A33 33B15 33E20 44A45 PDF BibTeX XML Cite \textit{O. Yağci} and \textit{R. Şahin}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 2, 678--689 (2021; Zbl 1489.44002) Full Text: DOI OpenURL
Schlage-Puchta, Jan-Christoph Continuous prime systems satisfying \(N(x)=c(x-1)+1\). (English) Zbl 1499.11297 Constr. Math. Anal. 4, No. 4, 378-383 (2021). MSC: 11N80 11Y60 30A10 33E20 65E05 PDF BibTeX XML Cite \textit{J.-C. Schlage-Puchta}, Constr. Math. Anal. 4, No. 4, 378--383 (2021; Zbl 1499.11297) Full Text: DOI arXiv OpenURL
Dobner, Alexander A proof of Newman’s conjecture for the extended Selberg class. (English) Zbl 1493.11117 Acta Arith. 201, No. 1, 29-62 (2021). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 11M41 PDF BibTeX XML Cite \textit{A. Dobner}, Acta Arith. 201, No. 1, 29--62 (2021; Zbl 1493.11117) Full Text: DOI arXiv OpenURL
Kumar, Virendra \(N\)-fractional calculus of the generalized Hurwitz-Lerch zeta function and Fox’s \(H\)-function. (English) Zbl 1499.33086 J. Fract. Calc. Appl. 12, No. 3, Article 17, 8 p. (2021). MSC: 33E20 PDF BibTeX XML Cite \textit{V. Kumar}, J. Fract. Calc. Appl. 12, No. 3, Article 17, 8 p. (2021; Zbl 1499.33086) Full Text: Link OpenURL
Wang, Yeshunying; Yin, Chuancun A new class of multivariate elliptically contoured distributions with inconsistency property. (English) Zbl 1480.60043 Methodol. Comput. Appl. Probab. 23, No. 4, 1377-1407 (2021). MSC: 60E10 62E10 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{C. Yin}, Methodol. Comput. Appl. Probab. 23, No. 4, 1377--1407 (2021; Zbl 1480.60043) Full Text: DOI arXiv OpenURL
Révész, Szilárd Gy. A Riemann-von Mangoldt-type formula for the distribution of Beurling primes. (English) Zbl 1499.11296 Math. Pannonica (N.S.) 27, No. 2, 204-232 (2021). Reviewer: Stelian Mihalas (Timişoara) MSC: 11N80 11M41 PDF BibTeX XML Cite \textit{S. Gy. Révész}, Math. Pannonica (N.S.) 27, No. 2, 204--232 (2021; Zbl 1499.11296) Full Text: DOI arXiv OpenURL
Kim, Yong Chan; Choi, Jae Ho Some radius results of analytic functions associated with the Srivastava-Attiya operator. (English) Zbl 1476.30054 Nonlinear Funct. Anal. Appl. 26, No. 2, 323-329 (2021). MSC: 30C45 33C20 PDF BibTeX XML Cite \textit{Y. C. Kim} and \textit{J. H. Choi}, Nonlinear Funct. Anal. Appl. 26, No. 2, 323--329 (2021; Zbl 1476.30054) Full Text: Link OpenURL
Parmar, Rakesh K.; Milovanović, Gradimir V.; Pogány, Tibor K. Multi-parameter Mathieu, and alternating Mathieu series. (English) Zbl 07423530 Appl. Math. Comput. 400, Article ID 126099, 28 p. (2021). MSC: 74Kxx PDF BibTeX XML Cite \textit{R. K. Parmar} et al., Appl. Math. Comput. 400, Article ID 126099, 28 p. (2021; Zbl 07423530) Full Text: DOI OpenURL
Zhang, Lu; Han, Di A hybrid mean value formula of Hurwitz zeta function with Kloosterman sums and generalized Cochrane sum. (Chinese. English summary) Zbl 1474.11151 J. Northwest Univ., Nat. Sci. Ed. 51, No. 1, 73-79 (2021). MSC: 11M35 11L05 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{D. Han}, J. Northwest Univ., Nat. Sci. Ed. 51, No. 1, 73--79 (2021; Zbl 1474.11151) Full Text: DOI OpenURL
Benedetti, Carolina; Estupiñan, Santiago; Harris, Pamela E. Generalized lattice-point visibility in \(\mathbb{N}^k\). (English) Zbl 1468.11027 Involve 14, No. 1, 103-118 (2021). MSC: 11B05 60D05 PDF BibTeX XML Cite \textit{C. Benedetti} et al., Involve 14, No. 1, 103--118 (2021; Zbl 1468.11027) Full Text: DOI arXiv OpenURL
Batır, Necdet Parametric binomial sums involving harmonic numbers. (English) Zbl 1471.11088 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 91, 25 p. (2021). MSC: 11B65 11M06 05A10 05A19 33C20 PDF BibTeX XML Cite \textit{N. Batır}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 91, 25 p. (2021; Zbl 1471.11088) Full Text: DOI arXiv OpenURL
Kim, Y. G. A proof of the Riemann hypothesis: another look. (English) Zbl 1459.11169 J. Anal. Appl. 19, No. 1, 67-106 (2021). MSC: 11M26 11M06 11B68 PDF BibTeX XML Cite \textit{Y. G. Kim}, J. Anal. Appl. 19, No. 1, 67--106 (2021; Zbl 1459.11169) OpenURL
Sgobba, Pietro On the distribution of the order and index for the reductions of algebraic numbers. (English) Zbl 1470.11299 J. Number Theory 223, 132-152 (2021). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R44 11R45 11R18 11R21 PDF BibTeX XML Cite \textit{P. Sgobba}, J. Number Theory 223, 132--152 (2021; Zbl 1470.11299) Full Text: DOI arXiv OpenURL
Batra, Saniya; Rai, Prakriti A further generalization of extended Hurwitz-Lerch zeta function of two variables. (English) Zbl 1499.11277 Adv. Stud. Contemp. Math., Kyungshang 30, No. 3, 391-399 (2020). MSC: 11M35 33B15 33C05 33C65 33C70 33C90 PDF BibTeX XML Cite \textit{S. Batra} and \textit{P. Rai}, Adv. Stud. Contemp. Math., Kyungshang 30, No. 3, 391--399 (2020; Zbl 1499.11277) Full Text: DOI OpenURL
Urieles, Alejandro; Ramírez, William; Ortega, María José; Bedoya, Daniel Fourier expansion and integral representation generalized Apostol-type Frobenius-Euler polynomials. (English) Zbl 1486.11031 Adv. Difference Equ. 2020, Paper No. 534, 13 p. (2020). MSC: 11B68 11M35 33E20 42A16 PDF BibTeX XML Cite \textit{A. Urieles} et al., Adv. Difference Equ. 2020, Paper No. 534, 13 p. (2020; Zbl 1486.11031) Full Text: DOI OpenURL
Milgram, Michael A series representation for Riemann’s zeta function and some interesting identities that follow. (English) Zbl 1499.11270 J. Class. Anal. 17, No. 2, 129-167 (2020). MSC: 11M06 11M35 30B40 30E20 33B99 PDF BibTeX XML Cite \textit{M. Milgram}, J. Class. Anal. 17, No. 2, 129--167 (2020; Zbl 1499.11270) Full Text: DOI arXiv OpenURL
Belbachir, H.; Spreafico, E. V. P.; Rachidi, M. Linear recursive relations for Bernoulli numbers and applications. (English) Zbl 1489.11039 J. Ramanujan Soc. Math. Math. Sci. 8, No. 1, 07-30 (2020). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B68 11B39 PDF BibTeX XML Cite \textit{H. Belbachir} et al., J. Ramanujan Soc. Math. Math. Sci. 8, No. 1, 07--30 (2020; Zbl 1489.11039) Full Text: Link OpenURL
Wang, Xiaoxia; Yuan, Xueying Infinite summation formulas involving the Riemann-Zeta function. (English) Zbl 1464.11087 Integers 20, Paper A35, 15 p. (2020). Reviewer: Enzo Bonacci (Latina) MSC: 11M06 33C20 33B15 05A10 11B65 PDF BibTeX XML Cite \textit{X. Wang} and \textit{X. Yuan}, Integers 20, Paper A35, 15 p. (2020; Zbl 1464.11087) Full Text: arXiv Link OpenURL
Kumar, Virendra On a generalized fractional Fourier transform. (English) Zbl 1450.42004 Palest. J. Math. 9, No. 2, 903-907 (2020). Reviewer: Alex Amenta (Bonn) MSC: 42A38 42B10 33C10 33C20 33E12 33E20 PDF BibTeX XML Cite \textit{V. Kumar}, Palest. J. Math. 9, No. 2, 903--907 (2020; Zbl 1450.42004) Full Text: Link OpenURL
Byrne, Eimear; Cotardo, Giuseppe; Ravagnani, Alberto Rank-metric codes, generalized binomial moments and their zeta functions. (English) Zbl 1464.11137 Linear Algebra Appl. 604, 92-128 (2020). MSC: 11T71 05A17 11M41 94B60 PDF BibTeX XML Cite \textit{E. Byrne} et al., Linear Algebra Appl. 604, 92--128 (2020; Zbl 1464.11137) Full Text: DOI arXiv OpenURL
Rivoal, Tanguy; Zudilin, Wadim A note on odd zeta values. (English) Zbl 1470.11203 Sémin. Lothar. Comb. 81, B81b, 13 p. (2020). MSC: 11J72 11M06 33C20 PDF BibTeX XML Cite \textit{T. Rivoal} and \textit{W. Zudilin}, Sémin. Lothar. Comb. 81, B81b, 13 p. (2020; Zbl 1470.11203) Full Text: arXiv Link OpenURL
Marcovecchio, Raffaele; Zudilin, Wadim Hypergeometric rational approximations to \(\zeta (4)\). (English) Zbl 1460.11104 Proc. Edinb. Math. Soc., II. Ser. 63, No. 2, 374-397 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11Y60 33C20 33C60 PDF BibTeX XML Cite \textit{R. Marcovecchio} and \textit{W. Zudilin}, Proc. Edinb. Math. Soc., II. Ser. 63, No. 2, 374--397 (2020; Zbl 1460.11104) Full Text: DOI arXiv OpenURL
Kada, Osamu Characteristic polynomials and zeta functions of equitably partitioned graphs. (English) Zbl 1437.05109 Linear Algebra Appl. 588, 471-488 (2020). MSC: 05C31 05C50 15A15 05C70 05C20 PDF BibTeX XML Cite \textit{O. Kada}, Linear Algebra Appl. 588, 471--488 (2020; Zbl 1437.05109) Full Text: DOI arXiv OpenURL
Czarnecki, Kyle; Giddings, Andrew Arithmetic functions of higher-order primes. (English) Zbl 1434.11015 Involve 13, No. 2, 181-191 (2020). MSC: 11A41 11N37 11N80 PDF BibTeX XML Cite \textit{K. Czarnecki} and \textit{A. Giddings}, Involve 13, No. 2, 181--191 (2020; Zbl 1434.11015) Full Text: DOI OpenURL
Dwivedi, Ravi; Sahai, Vivek On certain properties and expansions of zeta matrix function, digamma matrix function and polygamma matrix function. (English) Zbl 1430.15007 Quaest. Math. 43, No. 1, 97-105 (2020). MSC: 15A16 33B15 11M06 PDF BibTeX XML Cite \textit{R. Dwivedi} and \textit{V. Sahai}, Quaest. Math. 43, No. 1, 97--105 (2020; Zbl 1430.15007) Full Text: DOI OpenURL
Agoh, Takashi On generalized Euler numbers and polynomials related to values of the Lerch zeta function. (English) Zbl 1461.11040 Integers 20, Paper A5, 18 p. (2020). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B68 11M35 PDF BibTeX XML Cite \textit{T. Agoh}, Integers 20, Paper A5, 18 p. (2020; Zbl 1461.11040) Full Text: Link OpenURL
Pratt, Kyle; Robles, Nicolas; Zaharescu, Alexandru; Zeindler, Dirk More than five-twelfths of the zeros of \(\zeta\) are on the critical line. (English) Zbl 07144056 Res. Math. Sci. 7, No. 1, Paper No. 2, 74 p. (2020). MSC: 11M26 11L07 11M06 05A18 PDF BibTeX XML Cite \textit{K. Pratt} et al., Res. Math. Sci. 7, No. 1, Paper No. 2, 74 p. (2020; Zbl 07144056) Full Text: DOI arXiv OpenURL
Batir, Necdet; Chen, Kwang-Wu Finite Hurwitz-Lerch functions. (English) Zbl 1499.11276 Filomat 33, No. 1, 101-109 (2019). MSC: 11M35 11B73 05A10 44A15 PDF BibTeX XML Cite \textit{N. Batir} and \textit{K.-W. Chen}, Filomat 33, No. 1, 101--109 (2019; Zbl 1499.11276) Full Text: DOI OpenURL
Kumar, Virendra On Riemann-Liouville fractional integral operator of a general class of functions. (English) Zbl 1499.26017 J. Rajasthan Acad. Phys. Sci. 18, No. 3-4, 193-200 (2019). MSC: 26A33 26A42 33C20 33E12 33E20 PDF BibTeX XML Cite \textit{V. Kumar}, J. Rajasthan Acad. Phys. Sci. 18, No. 3--4, 193--200 (2019; Zbl 1499.26017) Full Text: Link OpenURL
Luo, Min-Jie; Raina, Ravinder Krishna Certain inequalities for the modified Bessel-type function. (English) Zbl 1499.26215 J. Inequal. Appl. 2019, Paper No. 20, 15 p. (2019). MSC: 26D20 26D15 33C10 33B20 33B15 PDF BibTeX XML Cite \textit{M.-J. Luo} and \textit{R. K. Raina}, J. Inequal. Appl. 2019, Paper No. 20, 15 p. (2019; Zbl 1499.26215) Full Text: DOI OpenURL
Cerone, P.; Lenard, C. On generalized Mathieu series and its companions. (English) Zbl 1488.33071 Hacet. J. Math. Stat. 48, No. 5, 1367-1387 (2019). MSC: 33E20 11M06 26D15 PDF BibTeX XML Cite \textit{P. Cerone} and \textit{C. Lenard}, Hacet. J. Math. Stat. 48, No. 5, 1367--1387 (2019; Zbl 1488.33071) Full Text: Link OpenURL
Challab, K. A.; Darus, M.; Ghanim, F. Some application on Hurwitz Lerch zeta function defined by a generalization of the Srivastava attiya operator. (English) Zbl 1488.30052 Kragujevac J. Math. 43, No. 2, 201-217 (2019). MSC: 30C45 11M35 30C10 PDF BibTeX XML Cite \textit{K. A. Challab} et al., Kragujevac J. Math. 43, No. 2, 201--217 (2019; Zbl 1488.30052) Full Text: Link OpenURL
Srivastava, H. M. Some general families of the Hurwitz-Lerch zeta functions and their applications: recent developments and directions for further researches. (English) Zbl 1436.11111 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 45, No. 2, 234-269 (2019). MSC: 11M35 33B15 11B68 30C45 33C65 33C90 PDF BibTeX XML Cite \textit{H. M. Srivastava}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 45, No. 2, 234--269 (2019; Zbl 1436.11111) Full Text: Link OpenURL
Agoh, Takashi Recurrences and determinantal expressions for values of the Dirichlet \(L\)-function. (English) Zbl 1442.11040 Math. Appl., Brno 8, No. 1, 1-16 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11B68 11C20 11M06 05A10 11B37 11B75 PDF BibTeX XML Cite \textit{T. Agoh}, Math. Appl., Brno 8, No. 1, 1--16 (2019; Zbl 1442.11040) Full Text: DOI OpenURL
Drungilas, Paulius; Garunkštis, Ramūnas; Novikas, Aivaras Second moment of the Beurling zeta-function. (English) Zbl 1465.11183 Lith. Math. J. 59, No. 3, 317-337 (2019). Reviewer: Gregory Debruyne (Champaign) MSC: 11M36 11N80 PDF BibTeX XML Cite \textit{P. Drungilas} et al., Lith. Math. J. 59, No. 3, 317--337 (2019; Zbl 1465.11183) Full Text: DOI OpenURL
Hogan, Jeffrey A.; Massopust, Peter R. Quaternionic fundamental cardinal splines: interpolation and sampling. (English) Zbl 1430.30028 Complex Anal. Oper. Theory 13, No. 7, 3373-3403 (2019). MSC: 30G35 15A66 65D07 94A20 PDF BibTeX XML Cite \textit{J. A. Hogan} and \textit{P. R. Massopust}, Complex Anal. Oper. Theory 13, No. 7, 3373--3403 (2019; Zbl 1430.30028) Full Text: DOI arXiv OpenURL
Krattenthaler, Christian; Zudilin, Wadim Hypergeometry inspired by irrationality questions. (English) Zbl 1450.11072 Kyushu J. Math. 73, No. 1, 189-203 (2019). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11M06 11Y60 33C20 33D15 33F10 PDF BibTeX XML Cite \textit{C. Krattenthaler} and \textit{W. Zudilin}, Kyushu J. Math. 73, No. 1, 189--203 (2019; Zbl 1450.11072) Full Text: DOI arXiv OpenURL
Hoffman, Michael E. An odd variant of multiple zeta values. (English) Zbl 1447.11095 Commun. Number Theory Phys. 13, No. 3, 529-567 (2019). MSC: 11M32 05E05 11M35 33C20 PDF BibTeX XML Cite \textit{M. E. Hoffman}, Commun. Number Theory Phys. 13, No. 3, 529--567 (2019; Zbl 1447.11095) Full Text: arXiv OpenURL
Khan, Waseem A.; Ghayasuddin, M.; Ahmad, Moin Certain new extension of Hurwitz-Lerch zeta function. (English) Zbl 1438.11120 J. Appl. Math. Inform. 37, No. 1-2, 13-21 (2019). MSC: 11M06 11M35 33B15 33C05 PDF BibTeX XML Cite \textit{W. A. Khan} et al., J. Appl. Math. Inform. 37, No. 1--2, 13--21 (2019; Zbl 1438.11120) Full Text: DOI OpenURL
Bllaca, Kajtaz H. Bounding the order of the central zero of a zeta function over a function field. (English) Zbl 1441.11292 Acta Arith. 189, No. 4, 391-395 (2019). MSC: 11R59 11M38 PDF BibTeX XML Cite \textit{K. H. Bllaca}, Acta Arith. 189, No. 4, 391--395 (2019; Zbl 1441.11292) Full Text: DOI OpenURL
Chatterjee, Tapas; Khurana, Suraj Singh Shifted Euler constants and a generalization of Euler-Stieltjes constants. (English) Zbl 1472.11229 J. Number Theory 204, 185-210 (2019). MSC: 11M06 11Y60 11M35 11K65 PDF BibTeX XML Cite \textit{T. Chatterjee} and \textit{S. S. Khurana}, J. Number Theory 204, 185--210 (2019; Zbl 1472.11229) Full Text: DOI arXiv OpenURL
Bansal, M. K.; Kumar, Devendra; Jain, R. Interrelationships between Marichev-Saigo-Maeda fractional integral operators, the Laplace transform and the \(\overline{H}\)-function. (English) Zbl 1418.33001 Int. J. Appl. Comput. Math. 5, No. 4, Paper No. 103, 13 p. (2019). MSC: 33C20 11M35 26A33 33C65 44A10 PDF BibTeX XML Cite \textit{M. K. Bansal} et al., Int. J. Appl. Comput. Math. 5, No. 4, Paper No. 103, 13 p. (2019; Zbl 1418.33001) Full Text: DOI OpenURL
Kucukoğlu, Irem; Simsek, Yilmaz; Srivastava, H. M. A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials. (English) Zbl 1446.11038 Quaest. Math. 42, No. 4, 465-478 (2019). MSC: 11B68 11S40 11S80 33E20 26C05 30B40 44A20 PDF BibTeX XML Cite \textit{I. Kucukoğlu} et al., Quaest. Math. 42, No. 4, 465--478 (2019; Zbl 1446.11038) Full Text: DOI OpenURL
Parmar, Rakesh K.; Choi, Junesang; Purohit, Sunil Dutt Further generalization of the extended Hurwitz-Lerch zeta functions. (English) Zbl 1413.11100 Bol. Soc. Parana. Mat. (3) 37, No. 1, 177-190 (2019). MSC: 11M06 11M35 33B15 11B68 33C05 33C65 33C90 PDF BibTeX XML Cite \textit{R. K. Parmar} et al., Bol. Soc. Parana. Mat. (3) 37, No. 1, 177--190 (2019; Zbl 1413.11100) Full Text: Link OpenURL
Debruyne, Gregory; Diamond, Harold G.; Vindas, Jasson \(M(x) = o(x)\) estimates for Beurling numbers. (English. French summary) Zbl 1443.11201 J. Théor. Nombres Bordx. 30, No. 2, 469-483 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11N80 11M41 PDF BibTeX XML Cite \textit{G. Debruyne} et al., J. Théor. Nombres Bordx. 30, No. 2, 469--483 (2018; Zbl 1443.11201) Full Text: DOI arXiv OpenURL
Choi, Junesang Certain integral formulas involving logarithm function. (English) Zbl 1441.33002 Nonlinear Funct. Anal. Appl. 23, No. 4, 755-765 (2018). MSC: 33B15 33E20 11M35 11M06 40C15 PDF BibTeX XML Cite \textit{J. Choi}, Nonlinear Funct. Anal. Appl. 23, No. 4, 755--765 (2018; Zbl 1441.33002) OpenURL
Kargin, Levent; Çekim, Bayram Higher order generalized geometric polynomials. (English) Zbl 1424.11059 Turk. J. Math. 42, No. 3, 887-903 (2018). MSC: 11B68 11B83 11M35 33B99 40A25 PDF BibTeX XML Cite \textit{L. Kargin} and \textit{B. Çekim}, Turk. J. Math. 42, No. 3, 887--903 (2018; Zbl 1424.11059) Full Text: DOI arXiv OpenURL
Li, Zongtao; Guo, Dong Properties of certain subclasses of \(p\)-valent analytic functions defined by an integral operator. (Chinese. English summary) Zbl 1424.30053 J. South China Norm. Univ., Nat. Sci. Ed. 50, No. 4, 102-106 (2018). MSC: 30C45 PDF BibTeX XML Cite \textit{Z. Li} and \textit{D. Guo}, J. South China Norm. Univ., Nat. Sci. Ed. 50, No. 4, 102--106 (2018; Zbl 1424.30053) OpenURL
Pogány, Tibor K.; Parmar, Rakesh K. On \(p\)-extended Mathieu series. (English) Zbl 1405.33028 Rad Hrvat. Akad. Znan. Umjet. 534, Mat. Znan. 22, 107-117 (2018). MSC: 33E20 26D15 33C10 44A10 PDF BibTeX XML Cite \textit{T. K. Pogány} and \textit{R. K. Parmar}, Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 534(22), 107--117 (2018; Zbl 1405.33028) Full Text: DOI arXiv OpenURL
Zudilin, Wadim Some hypergeometric integrals for linear forms in zeta values. (English) Zbl 1441.11210 Bull. Aust. Math. Soc. 98, No. 3, 372-375 (2018). MSC: 11M06 11J72 33C20 PDF BibTeX XML Cite \textit{W. Zudilin}, Bull. Aust. Math. Soc. 98, No. 3, 372--375 (2018; Zbl 1441.11210) Full Text: DOI arXiv OpenURL
Garunkštis, Ramūnas; Kaziulytė, Laima Asymptotic distribution of Beurling integers. (English) Zbl 1466.11066 Int. J. Number Theory 14, No. 10, 2555-2569 (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11N80 11M41 PDF BibTeX XML Cite \textit{R. Garunkštis} and \textit{L. Kaziulytė}, Int. J. Number Theory 14, No. 10, 2555--2569 (2018; Zbl 1466.11066) Full Text: DOI OpenURL
Xu, Ce Euler sums of generalized hyperharmonic numbers. (English) Zbl 1397.11059 J. Korean Math. Soc. 55, No. 5, 1207-1220 (2018). MSC: 11B73 11B83 11M06 11M32 11M99 PDF BibTeX XML Cite \textit{C. Xu}, J. Korean Math. Soc. 55, No. 5, 1207--1220 (2018; Zbl 1397.11059) Full Text: arXiv Link OpenURL
Challab, K. A.; Darus, M.; Ghanim, F. Partial sums of a generalized class of analytic functions defined by a generalized Srivastava-Attiya operator. (English) Zbl 1397.30012 Sib. Èlektron. Mat. Izv. 15, 362-372 (2018). MSC: 30C45 11M35 PDF BibTeX XML Cite \textit{K. A. Challab} et al., Sib. Èlektron. Mat. Izv. 15, 362--372 (2018; Zbl 1397.30012) Full Text: DOI OpenURL
Chen, Yuwu; Wang, Xiaoxia Infinite summation formulas related to Riemann zeta function from hypergeometric series. (English) Zbl 1400.33031 J. Difference Equ. Appl. 24, No. 7, 1114-1125 (2018). MSC: 33E05 11M06 40B05 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{X. Wang}, J. Difference Equ. Appl. 24, No. 7, 1114--1125 (2018; Zbl 1400.33031) Full Text: DOI OpenURL
Shchepin, E. V. Summation of unordered arrays. (English. Russian original) Zbl 1401.40003 Funct. Anal. Appl. 52, No. 1, 35-44 (2018); translation from Funkts. Anal. Prilozh. 52, No. 1, 43-55 (2018). Reviewer: Vladimir Kadets (Kharkiv) MSC: 40A05 PDF BibTeX XML Cite \textit{E. V. Shchepin}, Funct. Anal. Appl. 52, No. 1, 35--44 (2018; Zbl 1401.40003); translation from Funkts. Anal. Prilozh. 52, No. 1, 43--55 (2018) Full Text: DOI OpenURL
Sofo, Anthony Evaluation of integrals with hypergeometric and logarithmic functions. (English) Zbl 1391.05021 Open Math. 16, 63-74 (2018). MSC: 05A10 05A19 33C20 11B65 11B83 11M06 PDF BibTeX XML Cite \textit{A. Sofo}, Open Math. 16, 63--74 (2018; Zbl 1391.05021) Full Text: DOI OpenURL
Srivastava, H. M.; Mehrez, Khaled; Tomovski, Živorad New inequalities for some generalized Mathieu type series and the Riemann zeta function. (English) Zbl 1391.33007 J. Math. Inequal. 12, No. 1, 163-174 (2018). MSC: 33B15 33E20 11M35 60E10 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., J. Math. Inequal. 12, No. 1, 163--174 (2018; Zbl 1391.33007) Full Text: DOI OpenURL
Mesk, Mohammed Remarks on a main inequality for several special functions. (English) Zbl 1384.26057 Integral Transforms Spec. Funct. 29, No. 5, 402-416 (2018). MSC: 26D15 26D07 33C10 42A38 PDF BibTeX XML Cite \textit{M. Mesk}, Integral Transforms Spec. Funct. 29, No. 5, 402--416 (2018; Zbl 1384.26057) Full Text: DOI OpenURL
Chen, Haiyan; Chen, Yu Bartholdi zeta functions of generalized join graphs. (English) Zbl 1390.05122 Graphs Comb. 34, No. 1, 207-222 (2018). MSC: 05C50 15A15 PDF BibTeX XML Cite \textit{H. Chen} and \textit{Y. Chen}, Graphs Comb. 34, No. 1, 207--222 (2018; Zbl 1390.05122) Full Text: DOI OpenURL
Alzer, Horst; Choi, Junesang The Riemann zeta function and classes of infinite series. (English) Zbl 1499.11262 Appl. Anal. Discrete Math. 11, No. 2, 386-398 (2017). MSC: 11M06 33B15 PDF BibTeX XML Cite \textit{H. Alzer} and \textit{J. Choi}, Appl. Anal. Discrete Math. 11, No. 2, 386--398 (2017; Zbl 1499.11262) Full Text: DOI OpenURL
Luo, Min-Jie; Raina, R. K. New results for Srivastava’s \(\lambda\)-generalized Hurwitz-Lerch zeta function. (English) Zbl 1488.11134 Filomat 31, No. 8, 2219-2229 (2017). MSC: 11M35 26D15 33E20 40G10 PDF BibTeX XML Cite \textit{M.-J. Luo} and \textit{R. K. Raina}, Filomat 31, No. 8, 2219--2229 (2017; Zbl 1488.11134) Full Text: DOI OpenURL
Choi, Junesang; Parmar, Rakesh K. An extension of the generalized Hurwitz-Lerch zeta function of two variables. (English) Zbl 1488.11125 Filomat 31, No. 1, 91-96 (2017). MSC: 11M06 11M35 33B15 33C60 11B68 33C05 33C90 PDF BibTeX XML Cite \textit{J. Choi} and \textit{R. K. Parmar}, Filomat 31, No. 1, 91--96 (2017; Zbl 1488.11125) Full Text: DOI OpenURL
Dil, Ayhan; Mező, Istvan; Cenkci, Mehmet Evaluation of Euler-like sums via Hurwitz zeta values. (English) Zbl 1424.11130 Turk. J. Math. 41, No. 6, 1640-1655 (2017). MSC: 11M32 40B05 11M06 11M35 PDF BibTeX XML Cite \textit{A. Dil} et al., Turk. J. Math. 41, No. 6, 1640--1655 (2017; Zbl 1424.11130) Full Text: DOI OpenURL
Choi, Junesang; Parmar, Rakesh Kumar; Raina, Ravinder Krishna Extension of generalized Hurwitz-Lerch zeta function and associated properties. (English) Zbl 1430.11120 Kyungpook Math. J. 57, No. 3, 393-400 (2017). MSC: 11M35 33B15 33C65 PDF BibTeX XML Cite \textit{J. Choi} et al., Kyungpook Math. J. 57, No. 3, 393--400 (2017; Zbl 1430.11120) Full Text: DOI OpenURL
Jolly, Nidhi; Jain, Rashmi On unified infinite integrals involving \(\bar H\)-function and \(S^U_V\) polynomial. (English) Zbl 1379.33016 J. Indian Acad. Math. 39, No. 1, 1-9 (2017). MSC: 33C45 33C60 33C70 33E12 PDF BibTeX XML Cite \textit{N. Jolly} and \textit{R. Jain}, J. Indian Acad. Math. 39, No. 1, 1--9 (2017; Zbl 1379.33016) OpenURL
Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea Relative-zeta and Casimir energy for a semitransparent hyperplane selecting transverse modes. (English) Zbl 1374.81069 Michelangeli, Alessandro (ed.) et al., Advances in quantum mechanics. Contemporary trends and open problems. Cham: Springer (ISBN 978-3-319-58903-9/hbk; 978-3-319-58904-6/ebook). Springer INdAM Series 18, 71-97 (2017). MSC: 81T28 81T55 81Q10 46F10 14G10 PDF BibTeX XML Cite \textit{C. Cacciapuoti} et al., Springer INdAM Ser. 18, 71--97 (2017; Zbl 1374.81069) Full Text: DOI arXiv OpenURL
Choi, Junesang; Parmar, Rakesh Kumar; Raina, Ravinder Krishna A further extension of the generalized Hurwitz-Lerch zeta function. (English) Zbl 1373.11065 Far East J. Math. Sci. (FJMS) 101, No. 10, 2317-2332 (2017). MSC: 11M35 33B15 33C60 PDF BibTeX XML Cite \textit{J. Choi} et al., Far East J. Math. Sci. (FJMS) 101, No. 10, 2317--2332 (2017; Zbl 1373.11065) Full Text: DOI Link OpenURL
Parmar, Rakesh K.; Saxena, Ram K. Incomplete extended Hurwitz-Lerch zeta functions and associated properties. (English) Zbl 1427.11082 Commun. Korean Math. Soc. 32, No. 2, 287-304 (2017). MSC: 11M35 11B68 33B15 33C60 33C90 PDF BibTeX XML Cite \textit{R. K. Parmar} and \textit{R. K. Saxena}, Commun. Korean Math. Soc. 32, No. 2, 287--304 (2017; Zbl 1427.11082) Full Text: DOI OpenURL
Challab, K. A.; Darus, M.; Ghanim, F. Certain problems related to generalized Srivastava-Attiya operator. (English) Zbl 1373.30016 Asian-Eur. J. Math. 10, No. 2, Article ID 1750027, 21 p. (2017). MSC: 30C45 PDF BibTeX XML Cite \textit{K. A. Challab} et al., Asian-Eur. J. Math. 10, No. 2, Article ID 1750027, 21 p. (2017; Zbl 1373.30016) Full Text: DOI OpenURL
Chu, Wenchang Hypergeometric approach to Apéry-like series. (English) Zbl 1400.11124 Integral Transforms Spec. Funct. 28, No. 7, 505-518 (2017). MSC: 11M06 33C20 11B65 PDF BibTeX XML Cite \textit{W. Chu}, Integral Transforms Spec. Funct. 28, No. 7, 505--518 (2017; Zbl 1400.11124) Full Text: DOI OpenURL
Adolphson, Alan; Sperber, Steven Distinguished-root formulas for generalized Calabi-Yau hypersurfaces. (English) Zbl 1394.11054 Algebra Number Theory 11, No. 6, 1317-1356 (2017). Reviewer: Noriko Yui (Kingston) MSC: 11G25 14G15 14J32 PDF BibTeX XML Cite \textit{A. Adolphson} and \textit{S. Sperber}, Algebra Number Theory 11, No. 6, 1317--1356 (2017; Zbl 1394.11054) Full Text: DOI arXiv OpenURL
Ghanim, F. Certain properties of classes of meromorphic functions defined by a linear operator and associated with the Hurwitz-Lerch zeta function. (English) Zbl 1372.30008 Adv. Stud. Contemp. Math., Kyungshang 27, No. 2, 175-180 (2017). MSC: 30C45 30C50 PDF BibTeX XML Cite \textit{F. Ghanim}, Adv. Stud. Contemp. Math., Kyungshang 27, No. 2, 175--180 (2017; Zbl 1372.30008) OpenURL
Batir, Necdet On some combinatorial identities and harmonic sums. (English) Zbl 1376.11065 Int. J. Number Theory 13, No. 7, 1695-1709 (2017). Reviewer: Giovanni Coppola (Avellino) MSC: 11M06 11B75 05A19 PDF BibTeX XML Cite \textit{N. Batir}, Int. J. Number Theory 13, No. 7, 1695--1709 (2017; Zbl 1376.11065) Full Text: DOI arXiv OpenURL
Alkan, Emre; Göral, Haydar Trigonometric series and special values of \(L\)-functions. (English) Zbl 1418.11117 J. Number Theory 178, 94-117 (2017). MSC: 11M06 33B30 33B10 PDF BibTeX XML Cite \textit{E. Alkan} and \textit{H. Göral}, J. Number Theory 178, 94--117 (2017; Zbl 1418.11117) Full Text: DOI OpenURL
Kühn, Patrick; Robles, Nicolas; Zeindler, Dirk On a mollifier of the perturbed Riemann zeta-function. (English) Zbl 1357.11075 J. Number Theory 174, 274-321 (2017). Reviewer: Aleksandar Ivić (Beograd) MSC: 11M06 11M36 11N64 PDF BibTeX XML Cite \textit{P. Kühn} et al., J. Number Theory 174, 274--321 (2017; Zbl 1357.11075) Full Text: DOI arXiv Link OpenURL
Si, Xin; Xu, Ce; Zhang, Mingyu Quadratic and cubic harmonic number sums. (English) Zbl 1349.11053 J. Math. Anal. Appl. 447, No. 1, 419-434 (2017). MSC: 11B75 11M06 05A10 05A19 33C20 PDF BibTeX XML Cite \textit{X. Si} et al., J. Math. Anal. Appl. 447, No. 1, 419--434 (2017; Zbl 1349.11053) Full Text: DOI OpenURL
Lee, Jungyun; Jun, Byungheup; Chae, Hi-joon Higher Hickerson formula. (English) Zbl 1419.11075 J. Number Theory 170, 191-210 (2017). MSC: 11F20 PDF BibTeX XML Cite \textit{J. Lee} et al., J. Number Theory 170, 191--210 (2017; Zbl 1419.11075) Full Text: DOI arXiv OpenURL
Mohsen, Fadhle B. F. \(N\)-fractional calculus of generalized double zeta function. (English) Zbl 1488.11135 J. Fract. Calc. Appl. 7, No. 2, 101-108 (2016). MSC: 11M35 14G10 26A33 PDF BibTeX XML Cite \textit{F. B. F. Mohsen}, J. Fract. Calc. Appl. 7, No. 2, 101--108 (2016; Zbl 1488.11135) Full Text: Link OpenURL
Jaimini, B. B.; Somani, R. P. On certain class of Euler type integrals involving extended and multiparameter Hurwitz Lerch zeta functions. (English) Zbl 1488.11127 South East Asian J. Math. Math. Sci. 12, No. 1, 1-10 (2016). MSC: 11M06 11M35 33B15 33E20 33E30 PDF BibTeX XML Cite \textit{B. B. Jaimini} and \textit{R. P. Somani}, South East Asian J. Math. Math. Sci. 12, No. 1, 1--10 (2016; Zbl 1488.11127) Full Text: Link OpenURL
Boyadzhiev, Khristo N. A note on the higher derivatives of the function \(1/(\exp(x)-1)\). (English) Zbl 1357.26008 Adv. Appl. Discrete Math. 17, No. 4, 461-466 (2016). MSC: 26A24 11B68 33B10 PDF BibTeX XML Cite \textit{K. N. Boyadzhiev}, Adv. Appl. Discrete Math. 17, No. 4, 461--466 (2016; Zbl 1357.26008) Full Text: DOI arXiv OpenURL
Radunović, Goran Fractality and Lapidus zeta functions at infinity. (English) Zbl 1411.11087 Math. Commun. 21, No. 2, 141-162 (2016). MSC: 11M41 28A12 28A80 42B20 PDF BibTeX XML Cite \textit{G. Radunović}, Math. Commun. 21, No. 2, 141--162 (2016; Zbl 1411.11087) Full Text: arXiv Link OpenURL
Long, Ling; Osburn, Robert; Swisher, Holly On a conjecture of Kimoto and Wakayama. (English) Zbl 1402.11111 Proc. Am. Math. Soc. 144, No. 10, 4319-4327 (2016). MSC: 11M36 33C20 11B65 PDF BibTeX XML Cite \textit{L. Long} et al., Proc. Am. Math. Soc. 144, No. 10, 4319--4327 (2016; Zbl 1402.11111) Full Text: DOI arXiv OpenURL
Jung, N. S.; Ryoo, C. S. Symmetric properties for generalized twisted \(q\)-Euler zeta functions and \(q\)-Euler polynomials. (English) Zbl 1370.11035 J. Appl. Math. Inform. 34, No. 1-2, 107-114 (2016). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{N. S. Jung} and \textit{C. S. Ryoo}, J. Appl. Math. Inform. 34, No. 1--2, 107--114 (2016; Zbl 1370.11035) Full Text: DOI OpenURL
Kim, Yongsup New class of integrals involving generalized hypergeometric function and the logarithmic function. (English) Zbl 1337.33001 Commun. Korean Math. Soc. 31, No. 2, 329-342 (2016). MSC: 33B20 33C20 33B15 33C05 PDF BibTeX XML Cite \textit{Y. Kim}, Commun. Korean Math. Soc. 31, No. 2, 329--342 (2016; Zbl 1337.33001) Full Text: DOI OpenURL
Choi, Junesang Some integral representations of the Clausen function \(\mathrm{Cl}_{2}(x)\) and the Catalan constant \(G\). (English) Zbl 1334.33001 East Asian Math. J. 32, No. 1, 043-046 (2016). MSC: 33B10 33B15 11M06 11M35 PDF BibTeX XML Cite \textit{J. Choi}, East Asian Math. J. 32, No. 1, 043--046 (2016; Zbl 1334.33001) Full Text: DOI OpenURL
Lu, Da-Qian; Luo, Qiu-Ming Some unified formulas and representations for the Apostol-type polynomials. (English) Zbl 1422.11050 Adv. Difference Equ. 2015, Paper No. 137, 16 p. (2015). MSC: 11B68 11M35 11B73 33C05 PDF BibTeX XML Cite \textit{D.-Q. Lu} and \textit{Q.-M. Luo}, Adv. Difference Equ. 2015, Paper No. 137, 16 p. (2015; Zbl 1422.11050) Full Text: DOI OpenURL
Srivastava, H. M.; Gaboury, S.; Ghanim, F. Some further properties of a linear operator associated with the \(\lambda\)-generalized Hurwitz-Lerch zeta function related to the class of meromorphically univalent functions. (English) Zbl 1390.30015 Appl. Math. Comput. 259, 1019-1029 (2015). MSC: 30C45 11M35 33C05 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Appl. Math. Comput. 259, 1019--1029 (2015; Zbl 1390.30015) Full Text: DOI OpenURL
Srivastava, H. M. Some properties and results involving the zeta and associated functions. (English) Zbl 1383.11104 Funct. Anal. Approx. Comput. 7, No. 2, 89-131 (2015). MSC: 11M06 11M35 33E20 33E30 11B68 PDF BibTeX XML Cite \textit{H. M. Srivastava}, Funct. Anal. Approx. Comput. 7, No. 2, 89--131 (2015; Zbl 1383.11104) Full Text: Link OpenURL
Pogány, Tibor K.; Saboor, Abdus; Provost, Serge The Marshall-Olkin exponential Weibull distribution. (English) Zbl 1351.62055 Hacet. J. Math. Stat. 44, No. 6, 1579-1594 (2015). MSC: 62E15 60E05 62F10 PDF BibTeX XML Cite \textit{T. K. Pogány} et al., Hacet. J. Math. Stat. 44, No. 6, 1579--1594 (2015; Zbl 1351.62055) Full Text: DOI OpenURL
Araci, Serkan; Şen, Erdoğan On a \(p\)-adic interpolating function for the generalized Genocchi numbers and its behaviour at \(s=0\). (English) Zbl 1363.11029 Ars Comb. 122, 439-447 (2015). MSC: 11B68 11S80 PDF BibTeX XML Cite \textit{S. Araci} and \textit{E. Şen}, Ars Comb. 122, 439--447 (2015; Zbl 1363.11029) OpenURL