Gun, Sanoli; Kandhil, Neelam On an extension of a question of Baker. (English) Zbl 1520.11068 Int. J. Number Theory 19, No. 2, 375-388 (2023). Reviewer: Stéphane Fischler (Paris) MSC: 11J72 11J86 11M06 11M20 PDFBibTeX XMLCite \textit{S. Gun} and \textit{N. Kandhil}, Int. J. Number Theory 19, No. 2, 375--388 (2023; Zbl 1520.11068) Full Text: DOI arXiv
Chatterjee, Tapas; Dhillon, Sonika On a conjecture of Murty-Saradha about digamma values. (English) Zbl 1502.11080 Monatsh. Math. 199, No. 1, 23-43 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J72 11J86 11J91 11R27 PDFBibTeX XMLCite \textit{T. Chatterjee} and \textit{S. Dhillon}, Monatsh. Math. 199, No. 1, 23--43 (2022; Zbl 1502.11080) Full Text: DOI
Bharadwaj, Abhishek; Pathak, Siddhi On special values of Dirichlet series with periodic coefficients. (English) Zbl 1504.11081 J. Number Theory 238, 978-1011 (2022). Reviewer: Stéphane Fischler (Paris) MSC: 11J72 11M99 PDFBibTeX XMLCite \textit{A. Bharadwaj} and \textit{S. Pathak}, J. Number Theory 238, 978--1011 (2022; Zbl 1504.11081) Full Text: DOI
Baker, Alan [Masser, David] Transcendental number theory. With a new foreword by David Masser. Reprint of the 1990 paperback edition. (English) Zbl 1496.11001 Cambridge Mathematical Library. Cambridge: Cambridge University Press (ISBN 978-1-00-922994-4/pbk; 978-1-00-922993-7/ebook). xiv, 169 p. (2022). MSC: 11-01 01A75 11J81 11J86 11J85 11J89 11J83 11J68 11D41 11J91 11R29 11K60 11R11 PDFBibTeX XMLCite \textit{A. Baker}, Transcendental number theory. With a new foreword by David Masser. Reprint of the 1990 paperback edition. Cambridge: Cambridge University Press (2022; Zbl 1496.11001) Full Text: DOI
Cha, Byungchul; Fiorilli, Daniel; Jouve, Florent Erratum to: “Prime number races for elliptic curves over function fields”. (Erratum to: “Biais de Chebyshev pour les courbes elliptiques sur les corps de fonctions”.) (English. French summary) Zbl 1483.11213 Ann. Sci. Éc. Norm. Supér. (4) 54, No. 5, 1353-1362 (2021). MSC: 11N45 11G05 11G40 11N80 PDFBibTeX XMLCite \textit{B. Cha} et al., Ann. Sci. Éc. Norm. Supér. (4) 54, No. 5, 1353--1362 (2021; Zbl 1483.11213) Full Text: DOI
Inoue, Shōta Some explicit formulas for partial sums of Möbius functions. (English) Zbl 1481.11089 J. Théor. Nombres Bordx. 33, No. 2, 273-315 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11N37 11M06 11R42 PDFBibTeX XMLCite \textit{S. Inoue}, J. Théor. Nombres Bordx. 33, No. 2, 273--315 (2021; Zbl 1481.11089) Full Text: DOI arXiv
Harada, Ryotaro Alternating multizeta values in positive characteristic. (English) Zbl 1483.11194 Math. Z. 298, No. 3-4, 1263-1291 (2021). Reviewer: Stéphane Fischler (Paris) MSC: 11M38 11J72 11J93 PDFBibTeX XMLCite \textit{R. Harada}, Math. Z. 298, No. 3--4, 1263--1291 (2021; Zbl 1483.11194) Full Text: DOI arXiv
Chen, Yen-Tsung; Harada, Ryotaro On lower bounds of the dimensions of multizeta values in positive characteristic. (English) Zbl 1506.11114 Doc. Math. 26, 537-559 (2021). MSC: 11M38 11M32 11J72 11J93 PDFBibTeX XMLCite \textit{Y.-T. Chen} and \textit{R. Harada}, Doc. Math. 26, 537--559 (2021; Zbl 1506.11114) Full Text: DOI arXiv
Chen, Wei; Wang, Qiong Algebraic differential independence concerning the Euler \(\Gamma\)-function and Dirichlet series. (English) Zbl 1499.11281 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 4, 1035-1044 (2020). MSC: 11M36 11M06 33B15 30D30 34M15 PDFBibTeX XMLCite \textit{W. Chen} and \textit{Q. Wang}, Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 4, 1035--1044 (2020; Zbl 1499.11281) Full Text: DOI
Perret-Gentil, Corentin Roots of \(L\)-functions of characters over function fields, generic linear independence and biases. (English) Zbl 1459.11228 Algebra Number Theory 14, No. 5, 1291-1329 (2020). MSC: 11T23 11J72 11N36 11R58 PDFBibTeX XMLCite \textit{C. Perret-Gentil}, Algebra Number Theory 14, No. 5, 1291--1329 (2020; Zbl 1459.11228) Full Text: DOI arXiv
Cimpoeaş, Mircea; Nicolae, Florin Independence of Artin \(L\)-functions. (English) Zbl 1428.11154 Forum Math. 31, No. 2, 529-534 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11M41 11R42 PDFBibTeX XMLCite \textit{M. Cimpoeaş} and \textit{F. Nicolae}, Forum Math. 31, No. 2, 529--534 (2019; Zbl 1428.11154) Full Text: DOI arXiv
Cha, Byungchul; Fiorilli, Daniel; Jouve, Florent Independence of the zeros of elliptic curve \(L\)-functions over function fields. (English) Zbl 1405.11086 Int. Math. Res. Not. 2017, No. 9, 2614-2661 (2017). MSC: 11G40 11J72 11M41 14G10 PDFBibTeX XMLCite \textit{B. Cha} et al., Int. Math. Res. Not. 2017, No. 9, 2614--2661 (2017; Zbl 1405.11086) Full Text: DOI arXiv
Nagoshi, Hirofumi Hypertranscendence of \(L\)-functions for \(\mathrm{GL}_{m}(\mathbb{A}_{\mathbb{Q}})\). (English) Zbl 1404.11063 Bull. Aust. Math. Soc. 93, No. 3, 388-399 (2016). MSC: 11F66 11M99 34M15 PDFBibTeX XMLCite \textit{H. Nagoshi}, Bull. Aust. Math. Soc. 93, No. 3, 388--399 (2016; Zbl 1404.11063) Full Text: DOI
Mishiba, Yoshinori \(p\)-th power relations and Euler-Carlitz relations among multizeta values. (English) Zbl 1357.11083 RIMS Kôkyûroku Bessatsu B53, 13-29 (2015). MSC: 11M38 11J93 11G09 PDFBibTeX XMLCite \textit{Y. Mishiba}, RIMS Kôkyûroku Bessatsu B53, 13--29 (2015; Zbl 1357.11083)
Sun, Hae-Sang A study on functional independence of the Iwasawa power series. (English) Zbl 1284.11148 Adv. Math. 238, 119-139 (2013). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R23 11R42 PDFBibTeX XMLCite \textit{H.-S. Sun}, Adv. Math. 238, 119--139 (2013; Zbl 1284.11148) Full Text: DOI
Lutes, Brad A.; Papanikolas, Matthew A. Algebraic independence of values of Goss \(L\)-functions at \(s=1\). (English) Zbl 1328.11082 J. Number Theory 133, No. 3, 1000-1011 (2013). Reviewer: Michel Waldschmidt (Paris) MSC: 11J93 11G09 11M38 PDFBibTeX XMLCite \textit{B. A. Lutes} and \textit{M. A. Papanikolas}, J. Number Theory 133, No. 3, 1000--1011 (2013; Zbl 1328.11082) Full Text: DOI arXiv
Chang, Chieh-Yu; Papanikolas, Matthew A.; Yu, Jing Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic. (English) Zbl 1315.11066 Algebra Number Theory 5, No. 1, 111-129 (2011). MSC: 11J93 11M38 11G09 PDFBibTeX XMLCite \textit{C.-Y. Chang} et al., Algebra Number Theory 5, No. 1, 111--129 (2011; Zbl 1315.11066) Full Text: DOI arXiv Link
Anglès, Bruno; Ranieri, Gabriele On the linear independence of \(p\)-adic \(L\)-functions modulo \(p\). (English) Zbl 1219.11162 Ann. Inst. Fourier 60, No. 5, 1831-1855 (2010). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R18 11S80 11J72 PDFBibTeX XMLCite \textit{B. Anglès} and \textit{G. Ranieri}, Ann. Inst. Fourier 60, No. 5, 1831--1855 (2010; Zbl 1219.11162) Full Text: DOI arXiv Numdam EuDML
Chang, Chieh-Yu; Papanikolas, Matthew A.; Thakur, Dinesh S.; Yu, Jing Algebraic independence of arithmetic gamma values and Carlitz zeta values. (English) Zbl 1268.11100 Adv. Math. 223, No. 4, 1137-1154 (2010). Reviewer: Michel Waldschmidt (Paris) MSC: 11J93 11G09 11M38 33E50 PDFBibTeX XMLCite \textit{C.-Y. Chang} et al., Adv. Math. 223, No. 4, 1137--1154 (2010; Zbl 1268.11100) Full Text: DOI arXiv
Chang, Chieh-Yu; Yu, Jing Determination of algebraic relations among special zeta values in positive characteristic. (English) Zbl 1123.11025 Adv. Math. 216, No. 1, 321-345 (2007). Reviewer: Lenny Taelman (Leiden) MSC: 11J93 11M38 11G09 PDFBibTeX XMLCite \textit{C.-Y. Chang} and \textit{J. Yu}, Adv. Math. 216, No. 1, 321--345 (2007; Zbl 1123.11025) Full Text: DOI
Radziejewski, Maciej Independence of Hecke zeta functions of finite order over normal fields. (English) Zbl 1159.11034 Trans. Am. Math. Soc. 359, No. 5, 2383-2394 (2007). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11N37 11N45 11R27 11R42 PDFBibTeX XMLCite \textit{M. Radziejewski}, Trans. Am. Math. Soc. 359, No. 5, 2383--2394 (2007; Zbl 1159.11034) Full Text: DOI
Marszałek, Roman The multiplicative and functional independence of Dedekind zeta functions of abelian fields. (English) Zbl 1089.11063 Colloq. Math. 103, No. 1, 11-16 (2005). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R42 11M06 PDFBibTeX XMLCite \textit{R. Marszałek}, Colloq. Math. 103, No. 1, 11--16 (2005; Zbl 1089.11063) Full Text: DOI
Radziejewski, Maciej On the distribution of algebraic numbers with prescribed factorization properties. (English) Zbl 1136.11064 Acta Arith. 116, No. 2, 153-171 (2005). MSC: 11N37 11N45 11R27 11R42 PDFBibTeX XMLCite \textit{M. Radziejewski}, Acta Arith. 116, No. 2, 153--171 (2005; Zbl 1136.11064) Full Text: DOI
Nicolae, Florin On Artin’s \(L\)-functions. I. (English) Zbl 1013.11077 J. Reine Angew. Math. 539, 179-184 (2001). MSC: 11R42 PDFBibTeX XMLCite \textit{F. Nicolae}, J. Reine Angew. Math. 539, 179--184 (2001; Zbl 1013.11077) Full Text: DOI
Nicolae, Florin On the linear independence of Dedekind zeta-functions of Galois fields. (Über die lineare Unabhängigkeit der Dedekindschen Zetafunktionen galoisscher Zahlkörper.) (German) Zbl 0971.11056 Math. Nachr. 220, 111-113 (2000). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11J72 PDFBibTeX XMLCite \textit{F. Nicolae}, Math. Nachr. 220, 111--113 (2000; Zbl 0971.11056) Full Text: DOI
Gusić, Ivica Contribution to arithmetic of elliptic curves and abelian varieties. (Abstract of thesis). (English) Zbl 0887.11026 Glas. Mat., III. Ser. 32, No. 2, 346 (1997). MSC: 11G05 14H52 14K02 PDFBibTeX XMLCite \textit{I. Gusić}, Glas. Mat., III. Ser. 32, No. 2, 346 (1997; Zbl 0887.11026)
Laurinčikas, Antanas Limit theorems for the Riemann zeta-function. (English) Zbl 0845.11002 Mathematics and its Applications (Dordrecht). 352. Dordrecht: Kluwer Academic Publishers. xiii, 297 p. (1995). Reviewer: W.Haneke (Marburg) MSC: 11-02 11M06 60F05 PDFBibTeX XMLCite \textit{A. Laurinčikas}, Limit theorems for the Riemann zeta-function. Dordrecht: Kluwer Academic Publishers (1995; Zbl 0845.11002)
Voronin, S. M.; Karatsuba, A. A. The Riemann zeta-function. (Дзета-функции Римана.) (Russian) Zbl 0836.11029 Moskva: Nauka - Fizmatlit. 375 p. (1994). Reviewer: Aleksandar Ivić (Beograd) MSC: 11M06 11-02 11M26 11-01 11M35 11N05 11L15 11M41 PDFBibTeX XMLCite \textit{S. M. Voronin} and \textit{A. A. Karatsuba}, Дзета-функции Римана (Russian). Moskva: Nauka. Fizmatlit (1994; Zbl 0836.11029)
Karatsuba, A. A.; Voronin, S. M. The Riemann zeta-function. Transl. from the Russian by Neal Koblitz. (English) Zbl 0756.11022 De Gruyter Expositions in Mathematics. 5. Berlin etc.: W. de Gruyter. xii, 396 p. (1992). Reviewer: Matti Jutila (Turku) MSC: 11M06 11-02 11M26 11-01 11M35 11N05 11L15 11M41 PDFBibTeX XMLCite \textit{A. A. Karatsuba} and \textit{S. M. Voronin}, The Riemann zeta-function. Transl. from the Russian by Neal Koblitz. Berlin etc.: W. de Gruyter (1992; Zbl 0756.11022)
Baker, Alan Transcendental number theory. Paperback ed. (English) Zbl 0715.11032 Cambridge Mathematical Library. Cambridge etc.: Cambridge University Press. x, 165 p. £10.95; $ 17.95 (1990). Reviewer: O.Ninnemann MSC: 11Jxx 11-01 01A75 11J81 11J86 11J85 11J89 11J83 11J68 11D41 11J91 11R29 11K60 11R11 PDFBibTeX XMLCite \textit{A. Baker}, Transcendental number theory. Paperback ed. Cambridge etc.: Cambridge University Press (1990; Zbl 0715.11032)
Okada, Tadashige Dirichlet series with periodic algebraic coefficients. (English) Zbl 0589.10034 J. Lond. Math. Soc., II. Ser. 33, 13-21 (1986). Reviewer: Veikko Ennola (Turku) MSC: 11J85 11M06 11S40 PDFBibTeX XMLCite \textit{T. Okada}, J. Lond. Math. Soc., II. Ser. 33, 13--21 (1986; Zbl 0589.10034) Full Text: DOI