Fazzari, Alessandro A weighted central limit theorem for \(\log|\zeta (1/2 + it)|\). (English) Zbl 1523.11149 Mathematika 67, No. 2, 324-341 (2021). MSC: 11M06 PDFBibTeX XMLCite \textit{A. Fazzari}, Mathematika 67, No. 2, 324--341 (2021; Zbl 1523.11149) Full Text: DOI arXiv
Chirre, Andrés; Mahatab, Kamalakshya Large oscillations of the argument of the Riemann zeta-function. (English) Zbl 1517.11103 Bull. Lond. Math. Soc. 53, No. 6, 1776-1785 (2021). MSC: 11M06 11M26 11N37 PDFBibTeX XMLCite \textit{A. Chirre} and \textit{K. Mahatab}, Bull. Lond. Math. Soc. 53, No. 6, 1776--1785 (2021; Zbl 1517.11103) Full Text: DOI arXiv
Bhowmik, Gautami; Halupczok, Karin Conditional bounds on Siegel zeros. (English) Zbl 1506.11112 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 25-39 (2021). MSC: 11M20 11P32 PDFBibTeX XMLCite \textit{G. Bhowmik} and \textit{K. Halupczok}, Springer Proc. Math. Stat. 347, 25--39 (2021; Zbl 1506.11112) Full Text: DOI arXiv
Dutta, Parikshit; Ghoshal, Debashis Phase operator on \(L^2(\mathbb{Q}_p)\) and the zeroes of Fisher and Riemann. (English) Zbl 1504.30063 Zúñiga-Galindo, W. A. (ed.) et al., Advances in non-Archimedean analysis and applications. The \(p\)-adic methodology in STEAM-H. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 185-207 (2021). MSC: 30G06 11Mxx PDFBibTeX XMLCite \textit{P. Dutta} and \textit{D. Ghoshal}, in: Advances in non-Archimedean analysis and applications. The \(p\)-adic methodology in STEAM-H. Cham: Springer. 185--207 (2021; Zbl 1504.30063) Full Text: DOI arXiv
Toni, Bourama; Zúñiga-Galindo, W. A. Introduction: advancing non-Archimedean mathematics. (English) Zbl 1504.30066 Zúñiga-Galindo, W. A. (ed.) et al., Advances in non-Archimedean analysis and applications. The \(p\)-adic methodology in STEAM-H. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 1-7 (2021). MSC: 30G06 PDFBibTeX XMLCite \textit{B. Toni} and \textit{W. A. Zúñiga-Galindo}, in: Advances in non-Archimedean analysis and applications. The \(p\)-adic methodology in STEAM-H. Cham: Springer. 1--7 (2021; Zbl 1504.30066) Full Text: DOI
Hassani, Mehdi Remarks on Ramanujan’s inequality concerning the prime counting function. (English) Zbl 1485.11011 Commun. Math. 29, No. 3, 473-482 (2021). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11A41 PDFBibTeX XMLCite \textit{M. Hassani}, Commun. Math. 29, No. 3, 473--482 (2021; Zbl 1485.11011) Full Text: DOI
Maier, Helmut; Rassias, Michael Th. On the maximum of cotangent sums related to the Riemann hypothesis in rational numbers in short intervals. (English) Zbl 1491.11077 Mosc. J. Comb. Number Theory 10, No. 4, 303-313 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11M06 11L03 26A12 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, Mosc. J. Comb. Number Theory 10, No. 4, 303--313 (2021; Zbl 1491.11077) Full Text: DOI arXiv
Romik, Dan Orthogonal polynomial expansions for the Riemann xi function in the Hermite, Meixner-Pollaczek, and continuous Hahn bases. (English) Zbl 1487.33011 Acta Arith. 200, No. 3, 259-329 (2021). MSC: 33C45 11M06 PDFBibTeX XMLCite \textit{D. Romik}, Acta Arith. 200, No. 3, 259--329 (2021; Zbl 1487.33011) Full Text: DOI
Aymone, Marco Random multiplicative functions: the Selberg-Delange class. (English) Zbl 1485.11140 Electron. Commun. Probab. 26, Paper No. 26, 8 p. (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 60F15 PDFBibTeX XMLCite \textit{M. Aymone}, Electron. Commun. Probab. 26, Paper No. 26, 8 p. (2021; Zbl 1485.11140) Full Text: DOI arXiv
Balazard, Michel An arithmetical function related to Báez-Duarte’s criterion for the Riemann hypothesis. (English) Zbl 1478.11104 Rassias, Michael Th. (ed.), Harmonic analysis and applications. Cham: Springer. Springer Optim. Appl. 168, 43-58 (2021). MSC: 11M26 PDFBibTeX XMLCite \textit{M. Balazard}, Springer Optim. Appl. 168, 43--58 (2021; Zbl 1478.11104) Full Text: DOI arXiv
Chinen, Koji; Imamura, Yuki On the Riemann hypothesis for self-dual weight enumerators of genera three and four. (English) Zbl 1485.11168 SUT J. Math. 57, No. 1, 55-75 (2021). MSC: 11T71 13A50 12D10 PDFBibTeX XMLCite \textit{K. Chinen} and \textit{Y. Imamura}, SUT J. Math. 57, No. 1, 55--75 (2021; Zbl 1485.11168) Full Text: Link
Banaszak, Grzegorz; Uetake, Yoichi Abstract intersection theory for zeta-functions: geometric aspects. (English) Zbl 1473.11166 Funct. Approximatio, Comment. Math. 64, No. 2, 251-265 (2021). MSC: 11M26 47A10 14G10 PDFBibTeX XMLCite \textit{G. Banaszak} and \textit{Y. Uetake}, Funct. Approximatio, Comment. Math. 64, No. 2, 251--265 (2021; Zbl 1473.11166) Full Text: DOI
Yang, Jongho A fundamental set in \(L^2(0,1)\). (English) Zbl 1497.11214 Acta Arith. 199, No. 3, 269-274 (2021). Reviewer: Michel Balazard (Marseille) MSC: 11M26 PDFBibTeX XMLCite \textit{J. Yang}, Acta Arith. 199, No. 3, 269--274 (2021; Zbl 1497.11214) Full Text: DOI
Sekatskii, S. K. On the generalized Li’s criterion equivalent to the Riemann hypothesis and its first applications. (English) Zbl 1470.11225 Albeverio, Sergio (ed.) et al., Schrödinger operators, spectral analysis and number theory. In memory of Erik Balslev. Cham: Springer. Springer Proc. Math. Stat. 348, 241-254 (2021). MSC: 11M26 PDFBibTeX XMLCite \textit{S. K. Sekatskii}, Springer Proc. Math. Stat. 348, 241--254 (2021; Zbl 1470.11225) Full Text: DOI
Connes, Alain; Consani, Caterina Weil positivity and trace formula the Archimedean place. (English) Zbl 1480.46084 Sel. Math., New Ser. 27, No. 4, Paper No. 77, 70 p. (2021). Reviewer: Igor V. Nikolaev (New York) MSC: 46L85 11M55 PDFBibTeX XMLCite \textit{A. Connes} and \textit{C. Consani}, Sel. Math., New Ser. 27, No. 4, Paper No. 77, 70 p. (2021; Zbl 1480.46084) Full Text: DOI arXiv
Mossinghoff, Michael J.; Trudgian, Timothy S. Oscillations in weighted arithmetic sums. (English) Zbl 1473.11167 Int. J. Number Theory 17, No. 7, 1697-1716 (2021). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11M26 11N64 11Y35 11Y70 PDFBibTeX XMLCite \textit{M. J. Mossinghoff} and \textit{T. S. Trudgian}, Int. J. Number Theory 17, No. 7, 1697--1716 (2021; Zbl 1473.11167) Full Text: DOI arXiv
Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe On the conductor of cohomological transforms. (English. French summary) Zbl 1502.14047 Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 1, 203-254 (2021). Reviewer: Yigeng Zhao (Hangzhou) MSC: 14F20 11G20 11T23 PDFBibTeX XMLCite \textit{É. Fouvry} et al., Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 1, 203--254 (2021; Zbl 1502.14047) Full Text: DOI arXiv
Platt, Dave; Trudgian, Tim The Riemann hypothesis is true up to \(3 \cdot 10^{12}\). (English) Zbl 1482.11111 Bull. Lond. Math. Soc. 53, No. 3, 792-797 (2021). Reviewer: Michel Balazard (Marseille) MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{D. Platt} and \textit{T. Trudgian}, Bull. Lond. Math. Soc. 53, No. 3, 792--797 (2021; Zbl 1482.11111) Full Text: DOI arXiv
Rome, Nick; Sofos, Efthymios Asymptotics of the \(k\)-free diffraction measure via discretisation. (English) Zbl 1486.11098 Bull. Lond. Math. Soc. 53, No. 3, 686-694 (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K65 11A25 11N25 37A44 60G55 52C23 PDFBibTeX XMLCite \textit{N. Rome} and \textit{E. Sofos}, Bull. Lond. Math. Soc. 53, No. 3, 686--694 (2021; Zbl 1486.11098) Full Text: DOI arXiv
Järviniemi, Olli Equality of orders of a set of integers modulo a prime. (English) Zbl 1479.11171 Proc. Am. Math. Soc. 149, No. 9, 3651-3668 (2021). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N69 11R47 PDFBibTeX XMLCite \textit{O. Järviniemi}, Proc. Am. Math. Soc. 149, No. 9, 3651--3668 (2021; Zbl 1479.11171) Full Text: DOI arXiv
Suzuki, Masatoshi Hamiltonians arising from \(L\)-functions in the Selberg class. (English) Zbl 1479.11154 J. Funct. Anal. 281, No. 8, Article ID 109116, 31 p. (2021). MSC: 11M36 11M41 34A55 11M26 PDFBibTeX XMLCite \textit{M. Suzuki}, J. Funct. Anal. 281, No. 8, Article ID 109116, 31 p. (2021; Zbl 1479.11154) Full Text: DOI arXiv
Mozzochi, C. J. A new circle method attack on twin primes. (English) Zbl 1475.11164 Indian J. Math. 63, No. 1, 95-102 (2021). MSC: 11N05 11P32 11M41 PDFBibTeX XMLCite \textit{C. J. Mozzochi}, Indian J. Math. 63, No. 1, 95--102 (2021; Zbl 1475.11164)
Ge, Fan; Suriajaya, Ade Irma Note on the number of zeros of \(\zeta^{(k)}(s)\). (English) Zbl 1469.11288 Ramanujan J. 55, No. 2, 661-672 (2021). MSC: 11M06 11M36 PDFBibTeX XMLCite \textit{F. Ge} and \textit{A. I. Suriajaya}, Ramanujan J. 55, No. 2, 661--672 (2021; Zbl 1469.11288) Full Text: DOI arXiv
Kaltenböck, Lisa; Kiuchi, Isao; Saad Eddin, Sumaia; Ueda, Masaaki Sums of averages of gcd-sum functions. II. (English) Zbl 1479.11022 Result. Math. 76, No. 1, Paper No. 43, 18 p. (2021). MSC: 11A25 11N37 PDFBibTeX XMLCite \textit{L. Kaltenböck} et al., Result. Math. 76, No. 1, Paper No. 43, 18 p. (2021; Zbl 1479.11022) Full Text: DOI arXiv
Alkan, Emre Applications of Bombieri-Vinogradov type theorems to power-free integers. (English) Zbl 1472.11268 Colloq. Math. 164, No. 1, 53-75 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11P32 11N13 PDFBibTeX XMLCite \textit{E. Alkan}, Colloq. Math. 164, No. 1, 53--75 (2021; Zbl 1472.11268) Full Text: DOI
Nair, Radhakrishnan; Verger-Gaugry, Jean-Louis; Weber, Michel On good universality and the Riemann hypothesis. (English) Zbl 1472.11232 Adv. Math. 385, Article ID 107762, 37 p. (2021). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M06 28D05 37A44 11M26 11M35 30D35 PDFBibTeX XMLCite \textit{R. Nair} et al., Adv. Math. 385, Article ID 107762, 37 p. (2021; Zbl 1472.11232) Full Text: DOI arXiv HAL
Shen, Quanli The fourth moment of quadratic Dirichlet \(L\)-functions. (English) Zbl 1486.11103 Math. Z. 298, No. 1-2, 713-745 (2021). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 11M50 PDFBibTeX XMLCite \textit{Q. Shen}, Math. Z. 298, No. 1--2, 713--745 (2021; Zbl 1486.11103) Full Text: DOI arXiv
Alvarenga, Roberto \(p\)-adic Wan-Riemann hypothesis for \(\mathbb{Z}_p\)-towers of curves. (English) Zbl 1479.11104 J. Pure Appl. Algebra 225, No. 11, Article ID 106743, 10 p. (2021). MSC: 11G20 11S40 11R23 PDFBibTeX XMLCite \textit{R. Alvarenga}, J. Pure Appl. Algebra 225, No. 11, Article ID 106743, 10 p. (2021; Zbl 1479.11104) Full Text: DOI arXiv
Washington, Lawrence C.; Yang, Ambrose Analogues of the Robin-Lagarias criteria for the Riemann hypothesis. (English) Zbl 1472.11236 Int. J. Number Theory 17, No. 4, 843-870 (2021). Reviewer: Hirotaka Akatsuka (Otaru) MSC: 11M26 11A25 PDFBibTeX XMLCite \textit{L. C. Washington} and \textit{A. Yang}, Int. J. Number Theory 17, No. 4, 843--870 (2021; Zbl 1472.11236) Full Text: DOI arXiv
Connes, Alain; Consani, Caterina Quasi-inner functions and local factors. (English) Zbl 1476.46071 J. Number Theory 226, 139-167 (2021). Reviewer: Igor V. Nikolaev (New York) MSC: 46L85 11M55 11M26 PDFBibTeX XMLCite \textit{A. Connes} and \textit{C. Consani}, J. Number Theory 226, 139--167 (2021; Zbl 1476.46071) Full Text: DOI arXiv
Chirre, Andrés; Mahatab, Kamalakshya Large values of the argument of the Riemann zeta-function and its iterates. (English) Zbl 1476.11112 J. Number Theory 225, 240-259 (2021). Reviewer: Marco Aymone (Belo Horizonte) MSC: 11M06 11M26 11N37 PDFBibTeX XMLCite \textit{A. Chirre} and \textit{K. Mahatab}, J. Number Theory 225, 240--259 (2021; Zbl 1476.11112) Full Text: DOI arXiv
Alkan, Emre Variations on criteria of Pólya and Turán for the Riemann hypothesis. (English) Zbl 1500.11064 J. Number Theory 225, 90-124 (2021). Reviewer: Stephan Baier (Hāoṛā) MSC: 11M26 30B50 PDFBibTeX XMLCite \textit{E. Alkan}, J. Number Theory 225, 90--124 (2021; Zbl 1500.11064) Full Text: DOI
Mikaelyan, G. V. Fourier transform associated with Riemann zeta function. (English. Russian original) Zbl 1469.11309 J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 1, 30-36 (2021); translation from Izv. Nats. Akad. Nauk Armen., Mat. 56, No. 1, 45-53 (2021). MSC: 11M26 42A38 PDFBibTeX XMLCite \textit{G. V. Mikaelyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 1, 30--36 (2021; Zbl 1469.11309); translation from Izv. Nats. Akad. Nauk Armen., Mat. 56, No. 1, 45--53 (2021) Full Text: DOI
Darses, Sébastien; Hillion, Erwan An exponentially-averaged Vasyunin formula. (English) Zbl 1478.11101 Proc. Am. Math. Soc. 149, No. 7, 2969-2982 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 11M06 11M26 11F20 PDFBibTeX XMLCite \textit{S. Darses} and \textit{E. Hillion}, Proc. Am. Math. Soc. 149, No. 7, 2969--2982 (2021; Zbl 1478.11101) Full Text: DOI arXiv
Lester, Stephen; Radziwiłł, Maksym Signs of Fourier coefficients of half-integral weight modular forms. (English) Zbl 1467.11047 Math. Ann. 379, No. 3-4, 1553-1604 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F30 PDFBibTeX XMLCite \textit{S. Lester} and \textit{M. Radziwiłł}, Math. Ann. 379, No. 3--4, 1553--1604 (2021; Zbl 1467.11047) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{P. Sgobba}, J. Number Theory 223, 132--152 (2021; Zbl 1470.11299) Full Text: DOI arXiv
Klüners, Jürgen; Komatsu, Toru Imaginary multiquadratic number fields with class group of exponent \(3\) and \(5\). (English) Zbl 1470.11287 Math. Comput. 90, No. 329, 1483-1497 (2021). Reviewer: Günter Lettl (Graz) MSC: 11R29 11R20 11Y40 PDFBibTeX XMLCite \textit{J. Klüners} and \textit{T. Komatsu}, Math. Comput. 90, No. 329, 1483--1497 (2021; Zbl 1470.11287) Full Text: DOI arXiv
Pascoe, J. E. Trace minmax functions and the radical Laguerre-Pólya class. (English) Zbl 1469.15027 Res. Math. Sci. 8, No. 1, Paper No. 9, 14 p. (2021). Reviewer: Tin Yau Tam (Reno) MSC: 15A45 15A15 15A39 15A60 47A63 11M26 PDFBibTeX XMLCite \textit{J. E. Pascoe}, Res. Math. Sci. 8, No. 1, Paper No. 9, 14 p. (2021; Zbl 1469.15027) Full Text: DOI arXiv
Harashita, Shushi Asymptotic formula of the number of Newton polygons. (English) Zbl 1460.11119 Math. Z. 297, No. 1-2, 113-132 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P82 11M06 60F05 PDFBibTeX XMLCite \textit{S. Harashita}, Math. Z. 297, No. 1--2, 113--132 (2021; Zbl 1460.11119) Full Text: DOI arXiv
Mossinghoff, Michael J.; Silva, Tomás Oliveira E.; Trudgian, Timothy S. The distribution of \(k\)-free numbers. (English) Zbl 1469.11310 Math. Comput. 90, No. 328, 907-929 (2021). MSC: 11M26 11N60 11Y35 PDFBibTeX XMLCite \textit{M. J. Mossinghoff} et al., Math. Comput. 90, No. 328, 907--929 (2021; Zbl 1469.11310) Full Text: DOI arXiv
Chinen, Koji On some families of invariant polynomials divisible by three and their zeta functions. (English) Zbl 1467.11119 Math. J. Okayama Univ. 63, 175-182 (2021). Reviewer: Carlos Munuera (Valladolid) MSC: 11T71 13A50 12D10 PDFBibTeX XMLCite \textit{K. Chinen}, Math. J. Okayama Univ. 63, 175--182 (2021; Zbl 1467.11119) Full Text: arXiv Link
Intapiu, Saran; Srichan, Teerapat A remark on sampling Nymann-Beurling criterion for the Riemann hypothesis. (English) Zbl 1444.11178 Int. J. Math. Comput. Sci. 16, No. 1, 111-117 (2021). MSC: 11M26 60G50 PDFBibTeX XMLCite \textit{S. Intapiu} and \textit{T. Srichan}, Int. J. Math. Comput. Sci. 16, No. 1, 111--117 (2021; Zbl 1444.11178) Full Text: Link