Broucke, Frederik; Debruyne, Gregory; Vindas, Jasson Beurling integers with RH and large oscillation. (English) Zbl 07212215 Adv. Math. 370, Article ID 107240, 37 p. (2020). MSC: 11M41 11N80 11M26 11N05 PDF BibTeX XML Cite \textit{F. Broucke} et al., Adv. Math. 370, Article ID 107240, 37 p. (2020; Zbl 07212215) Full Text: DOI
Alkan, Emre Biased behavior of weighted Mertens sums. (English) Zbl 1437.11128 Int. J. Number Theory 16, No. 3, 547-577 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11M26 11N80 11Y35 26A51 PDF BibTeX XML Cite \textit{E. Alkan}, Int. J. Number Theory 16, No. 3, 547--577 (2020; Zbl 1437.11128) Full Text: DOI
Ramana, D. S.; Ramaré, O. Variant of the truncated Perron formula and primes in polynomial sets. (English) Zbl 07182422 Int. J. Number Theory 16, No. 2, 309-323 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N05 11M06 PDF BibTeX XML Cite \textit{D. S. Ramana} and \textit{O. Ramaré}, Int. J. Number Theory 16, No. 2, 309--323 (2020; Zbl 07182422) Full Text: DOI Link
Akbary, Amir; Francis, Forrest J. Euler’s function on products of primes in a fixed arithmetic progression. (English) Zbl 07146725 Math. Comput. 89, No. 322, 993-1026 (2020). MSC: 11N37 11M26 11N56 PDF BibTeX XML Cite \textit{A. Akbary} and \textit{F. J. Francis}, Math. Comput. 89, No. 322, 993--1026 (2020; Zbl 07146725) Full Text: DOI
Gun, Sanoli; Murty, V. Kumar Lifting of elliptic curves. (English) Zbl 07178869 Pac. J. Math. 301, No. 1, 101-106 (2019). MSC: 11F11 11G05 PDF BibTeX XML Cite \textit{S. Gun} and \textit{V. K. Murty}, Pac. J. Math. 301, No. 1, 101--106 (2019; Zbl 07178869) Full Text: DOI
Burnett, Joseph Vade; Osterman, Otto Vaughn A generalization of the infinitary divisibility relation: algebraic and analytic properties. (English) Zbl 1442.11010 Int. J. Number Theory 15, No. 9, 1771-1792 (2019). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11N37 11A51 PDF BibTeX XML Cite \textit{J. V. Burnett} and \textit{O. V. Osterman}, Int. J. Number Theory 15, No. 9, 1771--1792 (2019; Zbl 1442.11010) Full Text: DOI
Ge, Fan The number of zeros of \(L'(s,\chi)\). (English) Zbl 07087817 Acta Arith. 190, No. 2, 127-138 (2019). MSC: 11M06 11M26 PDF BibTeX XML Cite \textit{F. Ge}, Acta Arith. 190, No. 2, 127--138 (2019; Zbl 07087817) Full Text: DOI
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
Jiang, Yujiao; Lü, Guangshi Exponential sums formed with the Möbius function. (English) Zbl 07081478 Indag. Math., New Ser. 30, No. 2, 355-364 (2019). MSC: 11L07 PDF BibTeX XML Cite \textit{Y. Jiang} and \textit{G. Lü}, Indag. Math., New Ser. 30, No. 2, 355--364 (2019; Zbl 07081478) Full Text: DOI
Chirre, Andrés A note on entire \(L\)-functions. (English) Zbl 1440.11159 Bull. Braz. Math. Soc. (N.S.) 50, No. 1, 67-93 (2019). MSC: 11M06 11M26 11M36 41A30 PDF BibTeX XML Cite \textit{A. Chirre}, Bull. Braz. Math. Soc. (N.S.) 50, No. 1, 67--93 (2019; Zbl 1440.11159) Full Text: DOI arXiv
Platt, Dave; Trudgian, Tim Fujii’s development on Chebyshev’s conjecture. (English) Zbl 1443.11191 Int. J. Number Theory 15, No. 3, 639-644 (2019). MSC: 11N13 11M06 PDF BibTeX XML Cite \textit{D. Platt} and \textit{T. Trudgian}, Int. J. Number Theory 15, No. 3, 639--644 (2019; Zbl 1443.11191) Full Text: DOI arXiv
Grenié, Loïc; Molteni, Giuseppe An explicit Chebotarev density theorem under GRH. (English) Zbl 1443.11236 J. Number Theory 200, 441-485 (2019). Reviewer: Thomas Oliver (Nottingham) MSC: 11R42 11R44 PDF BibTeX XML Cite \textit{L. Grenié} and \textit{G. Molteni}, J. Number Theory 200, 441--485 (2019; Zbl 1443.11236) Full Text: DOI
Zaman, Asif Primes represented by positive definite binary quadratic forms. (English) Zbl 1441.11249 Q. J. Math. 69, No. 4, 1353-1386 (2018). MSC: 11N32 11E16 PDF BibTeX XML Cite \textit{A. Zaman}, Q. J. Math. 69, No. 4, 1353--1386 (2018; Zbl 1441.11249) Full Text: DOI arXiv
Veech, William A. Riemann sums and Möbius. (English) Zbl 1442.11014 J. Anal. Math. 135, No. 2, 413-436 (2018). MSC: 11A25 11M26 31B15 47B37 PDF BibTeX XML Cite \textit{W. A. Veech}, J. Anal. Math. 135, No. 2, 413--436 (2018; Zbl 1442.11014) Full Text: DOI
Meng, Xianchang Chebyshev’s bias for products of \(k\) primes. (English) Zbl 1442.11136 Algebra Number Theory 12, No. 2, 305-341 (2018). MSC: 11N60 11M26 11M06 PDF BibTeX XML Cite \textit{X. Meng}, Algebra Number Theory 12, No. 2, 305--341 (2018; Zbl 1442.11136) Full Text: DOI
Lamzouri, Youness The number of imaginary quadratic fields with prime discriminant and class number up to \(H\). (English) Zbl 1405.11142 Q. J. Math. 68, No. 4, 1379-1393 (2017). MSC: 11R11 11R29 PDF BibTeX XML Cite \textit{Y. Lamzouri}, Q. J. Math. 68, No. 4, 1379--1393 (2017; Zbl 1405.11142) Full Text: DOI arXiv
Mazhouda, Kamel; Smajlović, Lejla On relations equivalent to the generalized Riemann hypothesis for the Selberg class. (English) Zbl 06864147 Funct. Approximatio, Comment. Math. 56, No. 1, 67-93 (2017). Reviewer: Yoshinori Yamasaki (Matsuyama) MSC: 11M06 11M26 11M36 11M41 PDF BibTeX XML Cite \textit{K. Mazhouda} and \textit{L. Smajlović}, Funct. Approximatio, Comment. Math. 56, No. 1, 67--93 (2017; Zbl 06864147) Full Text: DOI Euclid
Mazhouda, Kamel On the \(\tau \)-Li coefficients for automorphic \(L\)-functions. (English) Zbl 1415.11078 Rocky Mt. J. Math. 47, No. 6, 1987-2011 (2017). Reviewer: Neven Grbac (Rijeka) MSC: 11F66 11M36 11M41 11M26 PDF BibTeX XML Cite \textit{K. Mazhouda}, Rocky Mt. J. Math. 47, No. 6, 1987--2011 (2017; Zbl 1415.11078) Full Text: DOI Euclid
Kahane, Jean-Pierre; Saias, Eric Completely multiplicative functions of sum zero. (Fonctions complètement multiplicatives de somme nulle.) (French. English summary) Zbl 1405.11050 Expo. Math. 35, No. 4, 364-389 (2017). MSC: 11F32 11M45 11N80 PDF BibTeX XML Cite \textit{J.-P. Kahane} and \textit{E. Saias}, Expo. Math. 35, No. 4, 364--389 (2017; Zbl 1405.11050) Full Text: DOI
Broughan, Kevin Equivalents of the Riemann hypothesis. Volume 2: Analytic equivalents. (English) Zbl 1427.11002 Encyclopedia of Mathematics and its Applications 165. Cambridge: Cambridge University Press (ISBN 978-1-107-19712-1/hbk; 978-1-108-17826-6/ebook; 978-1-108-29078-4/set). xx, 491 p. (2017). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11-02 11M26 11N05 11N25 PDF BibTeX XML Cite \textit{K. Broughan}, Equivalents of the Riemann hypothesis. Volume 2: Analytic equivalents. Cambridge: Cambridge University Press (2017; Zbl 1427.11002) Full Text: DOI
Lamzouri, Youness Large moments and extreme values of class numbers of indefinite binary quadratic forms. (English) Zbl 1403.11035 Mathematika 63, No. 2, 564-586 (2017). Reviewer: Meinhard Peters (Münster) MSC: 11E41 PDF BibTeX XML Cite \textit{Y. Lamzouri}, Mathematika 63, No. 2, 564--586 (2017; Zbl 1403.11035) Full Text: DOI arXiv
Mozzochi, C. J. An unconditional sufficient condition for the twin prime conjecture. (English) Zbl 1383.11113 Indian J. Math. 59, No. 1, 11-19 (2017). MSC: 11N05 11M41 11P32 PDF BibTeX XML Cite \textit{C. J. Mozzochi}, Indian J. Math. 59, No. 1, 11--19 (2017; Zbl 1383.11113)
Fiorilli, Daniel; Parks, James; Södergren, Anders Low-lying zeros of quadratic Dirichlet \(L\) -functions: lower order terms for extended support. (English) Zbl 1403.11057 Compos. Math. 153, No. 6, 1196-1216 (2017). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11M26 PDF BibTeX XML Cite \textit{D. Fiorilli} et al., Compos. Math. 153, No. 6, 1196--1216 (2017; Zbl 1403.11057) Full Text: DOI arXiv
Molteni, Giuseppe Recent results about the prime ideal theorem. (English) Zbl 1423.11194 Boll. Unione Mat. Ital. 10, No. 1, 19-28 (2017). MSC: 11R42 11R44 11Y40 PDF BibTeX XML Cite \textit{G. Molteni}, Boll. Unione Mat. Ital. 10, No. 1, 19--28 (2017; Zbl 1423.11194) Full Text: DOI
Rassias, Michael Th. Goldbach’s problem. Selected topics. With forewords by Jörg Brüdern and Preda Mihăilescu. (English) Zbl 1378.11003 Cham: Springer (ISBN 978-3-319-57912-2/pbk; 978-3-319-57914-6/ebook). xv, 122 p. (2017). Reviewer: Helmut Maier (Ulm) MSC: 11-02 26-02 11P32 11P55 26D15 PDF BibTeX XML Cite \textit{M. Th. Rassias}, Goldbach's problem. Selected topics. With forewords by Jörg Brüdern and Preda Mihăilescu. Cham: Springer (2017; Zbl 1378.11003) Full Text: DOI
Munsch, Marc Shifted moments of \(L\)-functions and moments of theta functions. (English) Zbl 1392.11061 Mathematika 63, No. 1, 196-212 (2017). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 11M26 11L20 PDF BibTeX XML Cite \textit{M. Munsch}, Mathematika 63, No. 1, 196--212 (2017; Zbl 1392.11061) Full Text: DOI arXiv
Odžak, Almasa On the asymptotic criterion for the zero-free regions of certain \(L\)-functions. (English) Zbl 1424.11128 Turk. J. Math. 40, No. 3, 688-702 (2016). MSC: 11M26 11M41 PDF BibTeX XML Cite \textit{A. Odžak}, Turk. J. Math. 40, No. 3, 688--702 (2016; Zbl 1424.11128) Full Text: DOI
Friedli, Fabien A functional relation for \(L\)-functions of graphs equivalent to the Riemann hypothesis for Dirichlet \(L\)-functions. (English) Zbl 1409.11072 J. Number Theory 169, 342-352 (2016). MSC: 11M41 11M26 PDF BibTeX XML Cite \textit{F. Friedli}, J. Number Theory 169, 342--352 (2016; Zbl 1409.11072) Full Text: DOI arXiv
Platt, David J. Numerical computations concerning the GRH. (English) Zbl 1345.11064 Math. Comput. 85, No. 302, 3009-3027 (2016). Reviewer: Roma Kačinskaitė (Šiauliai) MSC: 11M26 11M06 11P32 PDF BibTeX XML Cite \textit{D. J. Platt}, Math. Comput. 85, No. 302, 3009--3027 (2016; Zbl 1345.11064) Full Text: DOI arXiv
Bellaïche, Joël Chebotarev’s theorem and Littlewood complexity. (Théorème de Chebotarev et complexité de Littlewood.) (French. English summary) Zbl 1347.11079 Ann. Sci. Éc. Norm. Supér. (4) 49, No. 3, 579-632 (2016). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11R44 11R45 11N36 11F80 PDF BibTeX XML Cite \textit{J. Bellaïche}, Ann. Sci. Éc. Norm. Supér. (4) 49, No. 3, 579--632 (2016; Zbl 1347.11079) Full Text: DOI Link
Miller, John C. Real cyclotomic fields of prime conductor and their class numbers. (English) Zbl 1327.11079 Math. Comput. 84, No. 295, 2459-2469 (2015). Reviewer: Günter Lettl (Graz) MSC: 11R29 11R18 11Y40 PDF BibTeX XML Cite \textit{J. C. Miller}, Math. Comput. 84, No. 295, 2459--2469 (2015; Zbl 1327.11079) Full Text: DOI
Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan Conditional bounds for the least quadratic non-residue and related problems. (English) Zbl 1326.11058 Math. Comput. 84, No. 295, 2391-2412 (2015); corrigendum ibid. 86, No. 307, 2551-2554 (2017). Reviewer: Štefan Porubský (Praha) MSC: 11N60 11R42 PDF BibTeX XML Cite \textit{Y. Lamzouri} et al., Math. Comput. 84, No. 295, 2391--2412 (2015; Zbl 1326.11058) Full Text: DOI arXiv
Shparlinski, Igor E. On the product of small Elkies primes. (English) Zbl 1317.11061 Proc. Am. Math. Soc. 143, No. 4, 1441-1448 (2015). Reviewer: Jeffrey Shallit (Waterloo) MSC: 11G07 11L40 11Y16 14G50 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Proc. Am. Math. Soc. 143, No. 4, 1441--1448 (2015; Zbl 1317.11061) Full Text: DOI arXiv
Freiberg, Tristan; Kurlberg, Pär On the average exponent of elliptic curves modulo \(p\). (English) Zbl 1366.11079 Int. Math. Res. Not. 2014, No. 8, 2265-2293 (2014). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{T. Freiberg} and \textit{P. Kurlberg}, Int. Math. Res. Not. 2014, No. 8, 2265--2293 (2014; Zbl 1366.11079) Full Text: DOI arXiv
Ossicini, Andrea An alternative form of the functional equation for Riemann’s zeta function. II. (English) Zbl 1308.11078 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 53, No. 2, 115-138 (2014). MSC: 11M06 11M26 11B68 PDF BibTeX XML Cite \textit{A. Ossicini}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 53, No. 2, 115--138 (2014; Zbl 1308.11078) Full Text: Link arXiv
Mozzochi, C. J. Unconditional sufficient conditions for the Goldbach and the twin primes conjectures. (English) Zbl 1356.11071 Indian J. Math. 56, No. 3, 359-375 (2014). MSC: 11P32 11P55 PDF BibTeX XML Cite \textit{C. J. Mozzochi}, Indian J. Math. 56, No. 3, 359--375 (2014; Zbl 1356.11071)
Dai, Jinhui; Liu, Heng Zero density estimates of a kind of automorphic \(L\)-function. (English) Zbl 1313.11109 J. Zhejiang Univ., Sci. Ed. 41, No. 3, 249-253, 267 (2014). MSC: 11M26 11F67 11F66 PDF BibTeX XML Cite \textit{J. Dai} and \textit{H. Liu}, J. Zhejiang Univ., Sci. Ed. 41, No. 3, 249--253, 267 (2014; Zbl 1313.11109) Full Text: DOI
Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P. Character sums for primitive root densities. (English) Zbl 1353.11104 Math. Proc. Camb. Philos. Soc. 157, No. 3, 489-511 (2014). Reviewer: Enzo Bonacci (Latina) MSC: 11R45 11A07 11A15 11L03 11N13 PDF BibTeX XML Cite \textit{H. W. Lenstra jun.} et al., Math. Proc. Camb. Philos. Soc. 157, No. 3, 489--511 (2014; Zbl 1353.11104) Full Text: DOI arXiv
Rouse, Jeremy Quadratic forms representing all odd positive integers. (English) Zbl 1315.11024 Am. J. Math. 136, No. 6, 1693-1745 (2014). Reviewer: Meinhard Peters (Münster) MSC: 11E16 11E20 11E45 11F25 11F30 11M26 11F70 PDF BibTeX XML Cite \textit{J. Rouse}, Am. J. Math. 136, No. 6, 1693--1745 (2014; Zbl 1315.11024) Full Text: DOI Link arXiv
Lemke Oliver, Robert J. Representation by ternary quadratic forms. (English) Zbl 1304.11019 Bull. Lond. Math. Soc. 46, No. 6, 1237-1247 (2014). Reviewer: L. N. Vaserstein (University Park) MSC: 11E20 11E45 PDF BibTeX XML Cite \textit{R. J. Lemke Oliver}, Bull. Lond. Math. Soc. 46, No. 6, 1237--1247 (2014; Zbl 1304.11019) Full Text: DOI
Stopple, Jeffrey Notes on Low discriminants and the generalized Newman conjecture. (English) Zbl 1357.11078 Funct. Approximatio, Comment. Math. 51, No. 1, 23-41 (2014). MSC: 11M20 11M26 11M50 11Y35 PDF BibTeX XML Cite \textit{J. Stopple}, Funct. Approximatio, Comment. Math. 51, No. 1, 23--41 (2014; Zbl 1357.11078) Full Text: DOI Euclid arXiv
Hertel, Eike; Richter, Christian Tiling convex polygons with congruent equilateral triangles. (English) Zbl 1350.52010 Discrete Comput. Geom. 51, No. 3, 753-759 (2014). Reviewer: Guangxian Zhu (New York) MSC: 52C20 PDF BibTeX XML Cite \textit{E. Hertel} and \textit{C. Richter}, Discrete Comput. Geom. 51, No. 3, 753--759 (2014; Zbl 1350.52010) Full Text: DOI
Sono, Keiju Upper bounds for the moments of derivatives of Dirichlet \(L\)-functions. (English) Zbl 1308.11079 Cent. Eur. J. Math. 12, No. 6, 848-860 (2014). Reviewer: Sanoli Gun (Chennai) MSC: 11M06 PDF BibTeX XML Cite \textit{K. Sono}, Cent. Eur. J. Math. 12, No. 6, 848--860 (2014; Zbl 1308.11079) Full Text: DOI
Kuperberg, Greg Knottedness is in NP, modulo GRH. (English) Zbl 1358.68138 Adv. Math. 256, 493-506 (2014). MSC: 68Q25 11M26 57M25 PDF BibTeX XML Cite \textit{G. Kuperberg}, Adv. Math. 256, 493--506 (2014; Zbl 1358.68138) Full Text: DOI arXiv
Gun, Sanoli; Murty, M. Ram Divisors of Fourier coefficients of modular forms. (English) Zbl 1302.11022 New York J. Math. 20, 229-239 (2014). Reviewer: Emre Alkan (Istanbul) MSC: 11F30 11N37 PDF BibTeX XML Cite \textit{S. Gun} and \textit{M. R. Murty}, New York J. Math. 20, 229--239 (2014; Zbl 1302.11022) Full Text: EMIS arXiv
Kimura, Taro; Koyama, Shin-ya; Kurokawa, Nobushige Euler products beyond the boundary. (English) Zbl 1288.11083 Lett. Math. Phys. 104, No. 1, 1-19 (2014). Reviewer: Mehmet Cenkci (Antalya) MSC: 11M06 PDF BibTeX XML Cite \textit{T. Kimura} et al., Lett. Math. Phys. 104, No. 1, 1--19 (2014; Zbl 1288.11083) Full Text: DOI arXiv
van Frankenhuijsen, Machiel Riemann zeros in arithmetic progression. (English) Zbl 1325.11088 Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics I: Fractals in pure mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9147-6/pbk; 978-1-4704-1082-7/ebook). Contemporary Mathematics 600, 365-380 (2013). MSC: 11M26 28A80 PDF BibTeX XML Cite \textit{M. van Frankenhuijsen}, Contemp. Math. 600, 365--380 (2013; Zbl 1325.11088) Full Text: DOI
Clark, Pete L.; Hicks, Jacob; Parshall, Hans; Thompson, Katherine GoNI: primes represented by binary quadratic forms. (English) Zbl 1283.11063 Integers 13, Paper A37, 18 p. (2013). MSC: 11D85 11E12 PDF BibTeX XML Cite \textit{P. L. Clark} et al., Integers 13, Paper A37, 18 p. (2013; Zbl 1283.11063) Full Text: EMIS
Drappeau, Sary On friable solutions of the equation \(a+b=c\). (Sur les solutions friables de l’équation \(a+b=c\).) (French. English summary) Zbl 1312.11020 Math. Proc. Camb. Philos. Soc. 154, No. 3, 439-463 (2013). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D45 11N25 11M06 PDF BibTeX XML Cite \textit{S. Drappeau}, Math. Proc. Camb. Philos. Soc. 154, No. 3, 439--463 (2013; Zbl 1312.11020) Full Text: DOI arXiv
Zhang, Wen-Bin Normalization of Beurling generalized primes with Riemann hypothesis. (English) Zbl 1274.11153 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 459-469 (2013). MSC: 11N80 11N05 11M26 PDF BibTeX XML Cite \textit{W.-B. Zhang}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 459--469 (2013; Zbl 1274.11153)
Hubschmid, Patrik The André-Oort conjecture for Drinfeld modular varieties. (English) Zbl 1356.11032 Compos. Math. 149, No. 4, 507-567 (2013). MSC: 11G09 14G35 PDF BibTeX XML Cite \textit{P. Hubschmid}, Compos. Math. 149, No. 4, 507--567 (2013; Zbl 1356.11032) Full Text: DOI arXiv
Lapidus, Michel L.; van Frankenhuijsen, Machiel Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. 2nd ed. (English) Zbl 1261.28011 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 978-1-4614-2175-7/hbk; 978-1-4614-2176-4/ebook). xxvi, 567 p. (2013). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 28A80 28-02 28A75 37C45 37C70 11J70 11M41 37C30 58J50 11M26 11-02 PDF BibTeX XML Cite \textit{M. L. Lapidus} and \textit{M. van Frankenhuijsen}, Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. 2nd ed. New York, NY: Springer (2013; Zbl 1261.28011) Full Text: DOI
Planat, M.; Anselmi, F.; Solé, P. Pauli graphs, Riemann hypothesis, and Goldbach pairs. (English. Russian original) Zbl 1282.81057 Theor. Math. Phys. 171, No. 3, 780-791 (2012); translation from Teor. Mat. Fiz. 171, No. 3, 417-429 (2012). MSC: 81P45 11M26 PDF BibTeX XML Cite \textit{M. Planat} et al., Theor. Math. Phys. 171, No. 3, 780--791 (2012; Zbl 1282.81057); translation from Teor. Mat. Fiz. 171, No. 3, 417--429 (2012) Full Text: DOI arXiv
Hu, Pei-Chu; Ye, Zhuan Analytic properties of the Hasse-Weil \(L\)-function. (English) Zbl 1279.11109 Adv. Pure Appl. Math. 3, No. 3, 247-257 (2012). MSC: 11R42 11N56 11M26 PDF BibTeX XML Cite \textit{P.-C. Hu} and \textit{Z. Ye}, Adv. Pure Appl. Math. 3, No. 3, 247--257 (2012; Zbl 1279.11109) Full Text: DOI
Lee, Seok Hyeong; Oh, Gyujin On the distribution of cyclic number fields of prime degree. (English) Zbl 1280.11072 Int. J. Number Theory 8, No. 6, 1463-1475 (2012). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R47 11R18 11N45 PDF BibTeX XML Cite \textit{S. H. Lee} and \textit{G. Oh}, Int. J. Number Theory 8, No. 6, 1463--1475 (2012; Zbl 1280.11072) Full Text: DOI
Hu, Pei-Chu; Ye, Zhuan The generalized Riemann hypothesis and the discriminant of number fields. (English) Zbl 1316.11106 J. Math. Anal. Appl. 391, No. 2, 544-551 (2012). MSC: 11R42 11M26 11R29 PDF BibTeX XML Cite \textit{P.-C. Hu} and \textit{Z. Ye}, J. Math. Anal. Appl. 391, No. 2, 544--551 (2012; Zbl 1316.11106) Full Text: DOI
Lagarias, J. C.; Soundararajan, K. Counting smooth solutions to the equation \(A+B=C\). (English) Zbl 1270.11031 Proc. Lond. Math. Soc. (3) 104, No. 4, 770-798 (2012). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D45 11N25 11P55 PDF BibTeX XML Cite \textit{J. C. Lagarias} and \textit{K. Soundararajan}, Proc. Lond. Math. Soc. (3) 104, No. 4, 770--798 (2012; Zbl 1270.11031) Full Text: DOI arXiv
Ivanyos, Gábor; Karpinski, Marek; Rónyai, Lajos; Saxena, Nitin Trading GRH for algebra: algorithms for factoring polynomials and related structures. (English) Zbl 1239.68080 Math. Comput. 81, No. 277, 493-531 (2012). Reviewer: Gábor Horváth (Debrecen) MSC: 12Y05 11T06 16Z05 68W30 PDF BibTeX XML Cite \textit{G. Ivanyos} et al., Math. Comput. 81, No. 277, 493--531 (2012; Zbl 1239.68080) Full Text: DOI
Bisson, Gaetan Computing endomorphism rings of elliptic curves under the GRH. (English) Zbl 1250.11106 J. Math. Cryptol. 5, No. 2, 101-113 (2011). MSC: 11Y40 11G20 14G50 94A60 PDF BibTeX XML Cite \textit{G. Bisson}, J. Math. Cryptol. 5, No. 2, 101--113 (2011; Zbl 1250.11106) Full Text: DOI arXiv
Conrey, Brian Applications of the asymptotic large sieve. (English) Zbl 1283.11135 Actes de la conférence “Théorie des nombres et applications”. Besançon: Laboratoire de Mathématique de Besançon, Presses Universitaires de Franche-Comté. Publications Mathématiques Besançon. Algèbre et Théorie des Nombres 2011, 37-46 (2011). MSC: 11N35 11N36 11M06 11M26 PDF BibTeX XML Cite \textit{B. Conrey}, in: Actes de la conférence ``Théorie des nombres et applications''. Besançon: Laboratoire de Mathématique de Besançon, Presses Universitaires de Franche-Comté. 37--46 (2011; Zbl 1283.11135) Full Text: Link
Hu, Peichu; Ye, Zhuan A formula for the discriminant of number fields. (English) Zbl 1237.11049 Proc. Am. Math. Soc. 139, No. 6, 2007-2008 (2011). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R29 11R42 PDF BibTeX XML Cite \textit{P. Hu} and \textit{Z. Ye}, Proc. Am. Math. Soc. 139, No. 6, 2007--2008 (2011; Zbl 1237.11049) Full Text: DOI
Odžak, Almasa On Li’s coefficients for some classes of \(L\)-functions. (English) Zbl 1233.11092 Math. Balk., New Ser. 24, No. 3-4, 217-228 (2010). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11M26 11M41 11S40 PDF BibTeX XML Cite \textit{A. Odžak}, Math. Balk., New Ser. 24, No. 3--4, 217--228 (2010; Zbl 1233.11092) Full Text: EuDML
Schipani, Davide Generalized Riemann hypotheses: sufficient and equivalent criteria. (English) Zbl 1218.11077 JP J. Algebra Number Theory Appl. 19, No. 2, 203-214 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11M06 11M26 PDF BibTeX XML Cite \textit{D. Schipani}, JP J. Algebra Number Theory Appl. 19, No. 2, 203--214 (2010; Zbl 1218.11077) Full Text: Link arXiv
Heath-Brown, D. R. Fractional moments of Dirichlet \(L\)-functions. (English) Zbl 1248.11059 Acta Arith. 145, No. 4, 397-409 (2010). Reviewer: Aleksandar Ivić (Beograd) MSC: 11M06 PDF BibTeX XML Cite \textit{D. R. Heath-Brown}, Acta Arith. 145, No. 4, 397--409 (2010; Zbl 1248.11059) Full Text: DOI arXiv
Nakamura, Takashi The generalized strong recurrence for non-zero rational parameters. (English) Zbl 1215.11082 Arch. Math. 95, No. 6, 549-555 (2010). Reviewer: Roma Kačinskaitė (Siauliai) MSC: 11M06 11M26 PDF BibTeX XML Cite \textit{T. Nakamura}, Arch. Math. 95, No. 6, 549--555 (2010; Zbl 1215.11082) Full Text: DOI arXiv
Edixhoven, Bas On the computation of the coefficients of modular forms. (English) Zbl 1208.11137 Ran, André (ed.) et al., European congress of mathematics. Proceedings of the 5th ECM congress, Amsterdam, Netherlands, July 14–18, 2008. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-077-7/hbk). 17-29 (2010). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11Y35 11F80 11G18 14G35 14G40 PDF BibTeX XML Cite \textit{B. Edixhoven}, in: European congress of mathematics. Proceedings of the 5th ECM congress, Amsterdam, Netherlands, July 14--18, 2008. Zürich: European Mathematical Society (EMS). 17--29 (2010; Zbl 1208.11137)
Odžak, Almasa; Smajlović, Lejla On Li’s coefficients for the Rankin-Selberg \(L\)-functions. (English) Zbl 1248.11036 Ramanujan J. 21, No. 3, 303-334 (2010). Reviewer: Joseph Hundley (Carbondale) MSC: 11F66 11F70 11M26 11M41 PDF BibTeX XML Cite \textit{A. Odžak} and \textit{L. Smajlović}, Ramanujan J. 21, No. 3, 303--334 (2010; Zbl 1248.11036) Full Text: DOI
Daileda, Ryan C.; Krishnamoorthy, Raju; Malyshev, Anton Maximal class numbers of CM number fields. (English) Zbl 1185.11065 J. Number Theory 130, No. 4, 936-943 (2010). Reviewer: Alessandro Cobbe (Cervignano del Friuli) MSC: 11R29 11R21 11R32 11R42 PDF BibTeX XML Cite \textit{R. C. Daileda} et al., J. Number Theory 130, No. 4, 936--943 (2010; Zbl 1185.11065) Full Text: DOI
Fujii, Akio Oscillations, pseudorandomness and Hecke \(L\)-functions. (English) Zbl 1208.11104 Comment. Math. Univ. St. Pauli 58, No. 2, 119-167 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11M26 11M41 11J71 11B57 PDF BibTeX XML Cite \textit{A. Fujii}, Comment. Math. Univ. St. Pauli 58, No. 2, 119--167 (2009; Zbl 1208.11104)
Chandee, Vorrapan Explicit upper bounds for \(L\)-functions on the critical line. (English) Zbl 1243.11088 Proc. Am. Math. Soc. 137, No. 12, 4049-4063 (2009). Reviewer: Jerzy Kaczorowski (Poznań) MSC: 11M26 11M06 11M41 11M20 11F66 11R42 PDF BibTeX XML Cite \textit{V. Chandee}, Proc. Am. Math. Soc. 137, No. 12, 4049--4063 (2009; Zbl 1243.11088) Full Text: DOI arXiv
Nakamura, Takashi The joint universality and the generalized strong recurrence for Dirichlet \(L\)-functions. (English) Zbl 1229.11114 Acta Arith. 138, No. 4, 357-362 (2009). Reviewer: Mehdi Hassani (Zanjan) MSC: 11M06 11M26 PDF BibTeX XML Cite \textit{T. Nakamura}, Acta Arith. 138, No. 4, 357--362 (2009; Zbl 1229.11114) Full Text: DOI
Kane, Benjamin Representing sets with sums of triangular numbers. (English) Zbl 1181.11032 Int. Math. Res. Not. 2009, No. 17, 3264-3285 (2009). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11D09 11D85 11E12 PDF BibTeX XML Cite \textit{B. Kane}, Int. Math. Res. Not. 2009, No. 17, 3264--3285 (2009; Zbl 1181.11032) Full Text: DOI arXiv
Fesenko, Ivan Adelic approach to the zeta function of arithmetic schemes in dimension two. (English) Zbl 1158.14023 Mosc. Math. J. 8, No. 2, 273-317 (2008). Reviewer: Anton Deitmar (Tübingen) MSC: 14G10 11G40 19F05 PDF BibTeX XML Cite \textit{I. Fesenko}, Mosc. Math. J. 8, No. 2, 273--317 (2008; Zbl 1158.14023) Full Text: Link
Whitley, Robert The Riemann hypothesis, the generalized Riemann hypothesis, and the Cesàro operator. (English) Zbl 1141.11314 Integral Equations Oper. Theory 61, No. 3, 433-448 (2008). MSC: 11M26 45P05 47G10 PDF BibTeX XML Cite \textit{R. Whitley}, Integral Equations Oper. Theory 61, No. 3, 433--448 (2008; Zbl 1141.11314) Full Text: DOI
Diamond, Harold G.; Ford, Kevin Generalized Euler constants. (English) Zbl 1143.11036 Math. Proc. Camb. Philos. Soc. 145, No. 1, 27-41 (2008). Reviewer: Wadim Zudilin (Bonn) MSC: 11N05 11M26 11N37 PDF BibTeX XML Cite \textit{H. G. Diamond} and \textit{K. Ford}, Math. Proc. Camb. Philos. Soc. 145, No. 1, 27--41 (2008; Zbl 1143.11036) Full Text: DOI arXiv
Coffey, Mark W. An explicit formula and estimations for Hecke \(L\)-functions: applying the Li criterion. (English) Zbl 1214.11094 Int. J. Contemp. Math. Sci. 2, No. 17-20, 859-870 (2007). MSC: 11M26 11M36 PDF BibTeX XML Cite \textit{M. W. Coffey}, Int. J. Contemp. Math. Sci. 2, No. 17--20, 859--870 (2007; Zbl 1214.11094) Full Text: DOI
Granville, Andrew Refinements of Goldbach’s conjecture, and the generalized Riemann hypothesis. (English) Zbl 1230.11123 Funct. Approximatio, Comment. Math. 37, Part 1, 159-173 (2007); Corrigendum ibid. 38, Part 2, 235-237 (2008). MSC: 11P32 11M26 PDF BibTeX XML Cite \textit{A. Granville}, Funct. Approximatio, Comment. Math. 37, Part 1, 159--173 (2007; Zbl 1230.11123) Full Text: DOI Euclid
Steuding, Rasa Universality for generalized Euler products. (English) Zbl 1220.11110 Analysis, München 26, No. 3, 337-345 (2006). MSC: 11M41 11M26 PDF BibTeX XML Cite \textit{R. Steuding}, Analysis, München 26, No. 3, 337--345 (2006; Zbl 1220.11110) Full Text: DOI
de Roton, Anne A Hilbertian approach of the generalized Riemann hypothesis. (Une approche hilbertienne de l’hypothèse de Riemann généralisée.) (French) Zbl 1204.11145 Bull. Soc. Math. Fr. 134, No. 3, 417-445 (2006). MSC: 11M26 PDF BibTeX XML Cite \textit{A. de Roton}, Bull. Soc. Math. Fr. 134, No. 3, 417--445 (2006; Zbl 1204.11145) Full Text: DOI Link
Charles, Denis Xavier Computing the Ramanujan tau function. (English) Zbl 1109.11066 Ramanujan J. 11, No. 2, 221-224 (2006). Reviewer: Tom M. Apostol (Pasadena) MSC: 11Y55 11F11 11-04 PDF BibTeX XML Cite \textit{D. X. Charles}, Ramanujan J. 11, No. 2, 221--224 (2006; Zbl 1109.11066) Full Text: DOI
Lapidus, Michel L.; van Frankenhuijsen, Machiel Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. (English) Zbl 1119.28005 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 0-387-33285-5/hbk; 0-387-35208-2/ebook). xxiv, 464 p. (2006). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 28A80 28-02 11-02 28A75 37C45 37C70 11J70 11M41 37C30 58J50 11M26 PDF BibTeX XML Cite \textit{M. L. Lapidus} and \textit{M. van Frankenhuijsen}, Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. New York, NY: Springer (2006; Zbl 1119.28005) Full Text: DOI
Jao, David; Miller, Stephen D.; Venkatesan, Ramarathnam Do all elliptic curves of the same order have the same difficulty of discrete log? (English) Zbl 1154.94401 Roy, Bimal (ed.), Advances in cryptology – ASIACRYPT 2005. 11th international conference on the theory and application of cryptology and information security, Chennai, India, December 4–8, 2005, Proceedings. Berlin: Springer (ISBN 978-3-540-30684-9/pbk). Lecture Notes in Computer Science 3788, 21-40 (2005). MSC: 94A60 11T71 PDF BibTeX XML Cite \textit{D. Jao} et al., Lect. Notes Comput. Sci. 3788, 21--40 (2005; Zbl 1154.94401) Full Text: DOI arXiv
Alcántara-Bode, Julio A completeness problem related to the Riemann hypothesis. (English) Zbl 1208.47018 Integral Equations Oper. Theory 53, No. 3, 301-309 (2005). MSC: 47A70 11M26 30B60 30D15 47A10 47B38 PDF BibTeX XML Cite \textit{J. Alcántara-Bode}, Integral Equations Oper. Theory 53, No. 3, 301--309 (2005; Zbl 1208.47018) Full Text: DOI
Güloğlu, Ahmet Muhtar Low-lying zeroes of symmetric power \(L\)-functions. (English) Zbl 1168.11312 Int. Math. Res. Not. 2005, No. 9, 517-550 (2005). Reviewer: Florin Nicolae (Berlin) MSC: 11F66 11M26 PDF BibTeX XML Cite \textit{A. M. Güloğlu}, Int. Math. Res. Not. 2005, No. 9, 517--550 (2005; Zbl 1168.11312) Full Text: DOI
Edixhoven, Bas Special points on products of modular curves. (English) Zbl 1072.14027 Duke Math. J. 126, No. 2, 325-348 (2005). Reviewer: A. Muhammed Uludag (Istanbul) MSC: 14G35 14K22 11G15 11G18 PDF BibTeX XML Cite \textit{B. Edixhoven}, Duke Math. J. 126, No. 2, 325--348 (2005; Zbl 1072.14027) Full Text: DOI arXiv
de Roton, Anne Generalisation of the Beurling-Nyman criterion for the Riemann Hypothesis. (Généralisation du critère de Beurling et Nyman pour l’hypothèse de Riemann.) (French) Zbl 1063.11029 C. R., Math., Acad. Sci. Paris 340, No. 3, 191-194 (2005). Reviewer: Cem Yalçin Yildirim (Istanbul) MSC: 11M41 30B50 11M26 PDF BibTeX XML Cite \textit{A. de Roton}, C. R., Math., Acad. Sci. Paris 340, No. 3, 191--194 (2005; Zbl 1063.11029) Full Text: DOI
Rochon, Dominic A bicomplex Riemann zeta function. (English) Zbl 1075.30025 Tokyo J. Math. 27, No. 2, 357-369 (2004). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 30G35 32A30 PDF BibTeX XML Cite \textit{D. Rochon}, Tokyo J. Math. 27, No. 2, 357--369 (2004; Zbl 1075.30025) Full Text: DOI
Schlage-Puchta, Jan-Christoph The exponential sum over squarefree integers. (English) Zbl 1059.11048 Acta Arith. 115, No. 3, 265-268 (2004). Reviewer: Roger Heath-Brown (Oxford) MSC: 11L07 11N25 11P55 PDF BibTeX XML Cite \textit{J.-C. Schlage-Puchta}, Acta Arith. 115, No. 3, 265--268 (2004; Zbl 1059.11048) Full Text: DOI arXiv
Amoroso, Francesco Lower bound for the exponent of the ideal class group. (Une minoration pour l’exposant du groupe de classes d’idéaux.) (French) Zbl 1059.11065 Acta Arith. 115, No. 1, 59-69 (2004). Reviewer: Florian Luca (Morelia) MSC: 11R29 11R21 PDF BibTeX XML Cite \textit{F. Amoroso}, Acta Arith. 115, No. 1, 59--69 (2004; Zbl 1059.11065) Full Text: DOI
Fujii, Akio On the zeros of the Dirichlet \(L\)-functions. (English) Zbl 1146.11044 Heath-Brown, D. R. (ed.) et al., Proceedings of the session in analytic number theory and Diophantine equations held in Bonn, Germany, January–June, 2002. Bonn: Univ. Bonn, Mathematisches Institut. Bonner Mathematische Schriften 360, 29 p. (2003). Reviewer: Cem Yalçin Yıldırım (Istanbul) MSC: 11M26 PDF BibTeX XML Cite \textit{A. Fujii}, Bonn. Math. Schr. 360, 29 p. (2003; Zbl 1146.11044)
Tung, Shih Ping Skolem functions of arithmetical sentences. (English) Zbl 1047.03032 Inf. Comput. 185, No. 1, 56-65 (2003). Reviewer: Marat M. Arslanov (Kazan) MSC: 03D15 03F30 03C62 68Q25 PDF BibTeX XML Cite \textit{S. P. Tung}, Inf. Comput. 185, No. 1, 56--65 (2003; Zbl 1047.03032) Full Text: DOI
Granville, Andrew; Soundararajan, K. The distribution of values of \(L(1,\chi_d)\). (English) Zbl 1044.11080 Geom. Funct. Anal. 13, No. 5, 992-1028 (2003); errata 14, No. 1, 245-246 (2004). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11M20 PDF BibTeX XML Cite \textit{A. Granville} and \textit{K. Soundararajan}, Geom. Funct. Anal. 13, No. 5, 992--1028 (2003; Zbl 1044.11080) Full Text: DOI arXiv
Amoroso, Francesco; Dvornicich, Roberto Lower bounds for the height and size of the ideal class group in CM-fields. (English) Zbl 1040.11077 Monatsh. Math. 138, No. 2, 85-94 (2003). Reviewer: Elliot Benjamin (Swanville) MSC: 11R29 11R21 PDF BibTeX XML Cite \textit{F. Amoroso} and \textit{R. Dvornicich}, Monatsh. Math. 138, No. 2, 85--94 (2003; Zbl 1040.11077) Full Text: DOI
Li, Shuguang; Pomerance, Carl On generalizing Artin’s conjecture on primitive roots to composite moduli. (English) Zbl 1022.11049 J. Reine Angew. Math. 556, 205-224 (2003). Reviewer: Pieter Moree (Amsterdam) MSC: 11N69 11N36 PDF BibTeX XML Cite \textit{S. Li} and \textit{C. Pomerance}, J. Reine Angew. Math. 556, 205--224 (2003; Zbl 1022.11049) Full Text: DOI
Roskam, Hans Artin’s primitive root conjecture for quadratic fields. (English) Zbl 1026.11086 J. Théor. Nombres Bordx. 14, No. 1, 287-324 (2002). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R44 11R11 PDF BibTeX XML Cite \textit{H. Roskam}, J. Théor. Nombres Bordx. 14, No. 1, 287--324 (2002; Zbl 1026.11086) Full Text: DOI Numdam EuDML
Reinke, Thomas Representability of integers by Kaplansky’s ternary quadratic forms. (Darstellbarkeit ganzer Zahlen durch Kaplanskys ternäre quadratische Form.) (German) Zbl 1026.11047 Münster: Univ. Münster, Fachbereich Mathematik und Informatik, 114 S. (2002). Reviewer: Andrew G.Earnest (Carbondale) MSC: 11E25 11E45 11F37 11E20 PDF BibTeX XML Cite \textit{T. Reinke}, Darstellbarkeit ganzer Zahlen durch Kaplanskys ternäre quadratische Form. Münster: Univ. Münster, Fachbereich Mathematik und Informatik (2002; Zbl 1026.11047)
Miller, Stephen D. The highest lowest zero and other applications of positivity. (English) Zbl 1014.11036 Duke Math. J. 112, No. 1, 83-116 (2002). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F66 11M26 11M41 11F72 PDF BibTeX XML Cite \textit{S. D. Miller}, Duke Math. J. 112, No. 1, 83--116 (2002; Zbl 1014.11036) Full Text: DOI arXiv
Schmidt, Bernhard; White, Clinton All two-weight irreducible cyclic codes? (English) Zbl 1023.94016 Finite Fields Appl. 8, No. 1, 1-17 (2002). Reviewer: Nikolai L.Manev (Sofia) MSC: 94B15 PDF BibTeX XML Cite \textit{B. Schmidt} and \textit{C. White}, Finite Fields Appl. 8, No. 1, 1--17 (2002; Zbl 1023.94016) Full Text: DOI
Moree, Pieter; Stevenhagen, Peter Prime divisors of the Lagarias sequence. (English) Zbl 1064.11013 J. Théor. Nombres Bordx. 13, No. 1, 241-251 (2001). Reviewer: Florian Luca (Morelia) MSC: 11B39 PDF BibTeX XML Cite \textit{P. Moree} and \textit{P. Stevenhagen}, J. Théor. Nombres Bordx. 13, No. 1, 241--251 (2001; Zbl 1064.11013) Full Text: DOI EMIS Numdam EuDML arXiv
Yang, Yifan Inverse problems for partition functions. (English) Zbl 1016.11048 Can. J. Math. 53, No. 4, 866-896 (2001). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11P82 11M26 40E05 PDF BibTeX XML Cite \textit{Y. Yang}, Can. J. Math. 53, No. 4, 866--896 (2001; Zbl 1016.11048) Full Text: DOI