Edit Profile (opens in new tab) Kaczorowski, Jerzy Co-Author Distance Author ID: kaczorowski.jerzy Published as: Kaczorowski, Jerzy; Kaczorowski, J. External Links: MGP · Wikidata Documents Indexed: 120 Publications since 1980, including 1 Additional arXiv Preprint 2 Contributions as Editor Reviewing Activity: 89 Reviews Biographic References: 1 Publication Co-Authors: 24 Co-Authors with 81 Joint Publications 651 Co-Co-Authors all top 5 Co-Authors 41 single-authored 58 Perelli, Alberto 7 Molteni, Giuseppe 7 Wiertelak, Kazimierz 4 Pintz, Janos 4 Staś, Włodzimierz 2 Geroldinger, Alfred 2 Steuding, Jörn 1 Brüdern, Jörg 1 Friedlander, John Benjamin 1 Górnisiewicz, Krzysztof 1 Halter-Koch, Franz 1 Heath-Brown, Roger 1 Iwaniec, Henryk 1 Kulas, Mieczysław 1 Languasco, Alessandro 1 Laurinčikas, Antanas 1 Nijkamp, Peter 1 Pieprzyk, Josef P. 1 Pomykała, Jacek M. 1 Radziejewski, Maciej 1 Ramaré, Olivier 1 Ratajczak, Waldemar 1 Szydło, Bogdan 1 Wolfart, Jürgen all top 5 Serials 18 Acta Arithmetica 12 Functiones et Approximatio. Commentarii Mathematici 6 Monatshefte für Mathematik 4 Journal of Number Theory 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Colloquium Mathematicum 3 Journal für die Reine und Angewandte Mathematik 3 International Journal of Number Theory 3 Wiadomości Matematyczne 2 Journal of Mathematical Analysis and Applications 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 2 Acta Mathematica Hungarica 2 Proceedings of the Steklov Institute of Mathematics 2 Rivista di Matematica della Università di Parma. New Series 1 Mathematical Notes 1 Acta Mathematica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Publicationes Mathematicae Debrecen 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Semigroup Forum 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Analysis 1 Forum Mathematicum 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 IMRN. International Mathematics Research Notices 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Discussiones Mathematicae 1 Journal de Théorie des Nombres de Bordeaux 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Lecture Notes in Computer Science 1 Lecture Notes in Mathematics all top 5 Fields 117 Number theory (11-XX) 4 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Information and communication theory, circuits (94-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 690 times in 330 Documents Cited by ▼ Year ▼ On the structure of the Selberg class. I: \(0\leq d\leq 1\). Zbl 1126.11335 Kaczorowski, Jerzy; Perelli, Alberto 71 1999 The Selberg class: A survey. Zbl 0929.11028 Kaczorowski, J.; Perelli, A. 60 1999 Axiomatic theory of \(L\)-functions: the Selberg class. Zbl 1147.11050 Kaczorowski, Jerzy 54 2006 On the structure of the Selberg class. VI: Non-linear twists. Zbl 1082.11055 Kaczorowski, J.; Perelli, A. 28 2005 On the structure of the Selberg class. VII: \(1<d<2\). Zbl 1235.11085 Kaczorowski, Jerzy; Perelli, Alberto 24 2011 On the non-trivial zeros off the critical line for \(L\)-functions from the extended Selberg class. Zbl 1124.11042 Kaczorowski, Jerzy; Kulas, Mieczysław 22 2007 Some remarks on factorization in algebraic number fields. Zbl 0526.12006 Kaczorowski, J. 18 1983 On the structure of the Selberg class. V: \(1<d<5/3\). Zbl 1034.11051 Kaczorowski, Jerzy; Perelli, Alberto 17 2002 On the prime number theorem for the Selberg class. Zbl 1126.11334 Kaczorowski, J.; Perelli, A. 17 2003 On sign-changes in the remainder-term of the prime-number formula. I. Zbl 0555.10023 Kaczorowski, J. 14 1984 Linear independence in the Selberg class. Zbl 0929.11029 Kaczorowski, J.; Molteni, G.; Perelli, A. 13 1999 Linear independence of \(L\)-functions. Zbl 1099.11048 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 13 2006 Oscillatory properties of arithmetical functions. I. Zbl 0613.10036 Kaczorowski, J.; Pintz, J. 13 1986 Twists and resonance of \(L\)-functions. I. Zbl 1404.11107 Kaczorowski, Jerzy; Perelli, Alberto 11 2016 Functional independence of the singularities of a class of Dirichlet series. Zbl 0905.11036 Kaczorowski, J.; Perelli, A. 10 1998 Almost periodicity of some error terms in prime number theory. Zbl 1146.11323 Kaczorowski, Jerzy; Ramaré, Olivier 10 2003 On the distribution of primes \(\pmod 4\). Zbl 0826.11042 Kaczorowski, Jerzy 10 1995 Twists, Euler products and a converse theorem for \(L\)-functions of degree 2. Zbl 1331.11073 Kaczorowski, Jerzy; Perelli, Alberto 10 2015 Some remarks on the universality of periodic \(L\)-functions. Zbl 1262.11085 Kaczorowski, Jerzy 10 2009 Non-unique factorizations in orders of global fields. Zbl 0812.11061 Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy 9 1995 On the value distribution of shifts of universal Dirichlet series. Zbl 1116.11069 Kaczorowski, Jerzy; Laurinčikas, Antanas; Steuding, Jörn 9 2006 On the structure of the Selberg class. II: Invariants and conjectures. Zbl 0982.11051 Kaczorowski, J.; Perelli, A. 9 2000 Analytic and arithmetic theory of semigroups with divisor theory. Zbl 0780.11046 Geroldinger, Alfred; Kaczorowski, Jerzy 8 1992 A contribution to the Shanks-Rényi race problem. Zbl 0799.11030 Kaczorowski, Jerzy 8 1993 On the distribution of irreducible algebraic integers. Zbl 1197.11146 Kaczorowski, Jerzy 8 2009 Hecke’s theory and the Selberg class. Zbl 1196.11069 Kaczorowski, J.; Molteni, G.; Perelli, A.; Steuding, J.; Wolfart, J. 7 2006 Explicit formulae for averages of Goldbach representations. Zbl 1470.11251 Brüdern, Jörg; Kaczorowski, Jerzy; Perelli, Alberto 7 2019 Oscillations of the remainder term related to the Euler totient function. Zbl 1210.11104 Kaczorowski, Jerzy; Wiertelak, Kazimierz 7 2010 Some remarks on the convergence of the Dirichlet series of \(L\)-functions and related questions. Zbl 1381.11089 Kaczorowski, Jerzy; Perelli, Alberto 7 2017 A pure arithmetical characterization for certain fields with a given class group. Zbl 0501.12010 Kaczorowski, J. 7 1981 Linear twists of \(L\)-functions of degree 2 from the Selberg class. Zbl 1269.11091 Kaczorowski, J.; Perelli, A. 6 2010 Strong multiplicity one for the Selberg class. Zbl 0987.11056 Kaczorowski, Jerzy; Perelli, Alberto 6 2001 On a generalization of the Euler totient function. Zbl 1282.11130 Kaczorowski, Jerzy 6 2013 Oscillatory properties of arithmetical functions. II. Zbl 0631.10026 Kaczorowski, J.; Pintz, J. 6 1987 The \(k\)-functions in multiplicative number theory. I: On complex explicit formulae. II: Uniform distribution of zeta zeros. Zbl 0716.11040 Kaczorowski, J. 6 1990 On the sum of the twisted Euler function. Zbl 1327.11064 Kaczorowski, Jerzy; Wiertelak, Kazimierz 6 2012 Results on the distribution of primes. Zbl 0783.11033 Kaczorowski, Jerzy 5 1994 Oscillations of a given size of some arithmetic error terms. Zbl 1184.11029 Kaczorowski, Jerzy; Wiertelak, Kazimierz 5 2009 \(\Omega\)-estimates for a class of arithmetic error terms. Zbl 1186.11060 Kaczorowski, Jerzy; Wiertelak, Kazimierz 5 2007 Unique factorization results for semigroups of \(L\)-functions. Zbl 1163.11062 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2008 A pure arithmetical definition of the class group. Zbl 0557.12004 Kaczorowski, J. 5 1984 A converse theorem for Dirichlet \(L\)-functions. Zbl 1242.11061 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2010 The boundary values of generalized Dirichlet series and a problem of Chebyshev. Zbl 0790.11066 Kaczorowski, J. 4 1992 On the structure of the Selberg class. IV: Basic invariants. Zbl 0996.11053 Kaczorowski, J.; Perelli, A. 4 2002 Factorization in the extended Selberg class. Zbl 1065.11072 Kaczorowski, Jerzy; Perelli, Alberto 4 2003 Twists and resonance of \(L\)-functions. II. Zbl 1404.11108 Kaczorowski, Jerzy; Perelli, Alberto 4 2016 A uniform version of Stirling’s formula. Zbl 1229.33003 Kaczorowski, Jerzy; Perelli, Alberto 4 2011 A weak converse theorem for degree 2 \(L\)-functions with conductor 1. Zbl 1411.11082 Kaczorowski, Jerzy; Perelli, Alberto 4 2017 On sign-changes in the remainder-term of the prime-number formula. II. Zbl 0555.10024 Kaczorowski, J. 4 1985 Smoothing arithmetic error terms: the case of the Euler \(\varphi \) function. Zbl 1217.11083 Kaczorowski, Jerzy; Wiertelak, Kazimierz 4 2010 The \(k\)-functions in multiplicative number theory. III: Uniform distribution of zeta zeros; discrepancy. IV: On a method of A. E. Ingham. Zbl 0726.11047 Kaczorowski, J. 4 1991 A note on the degree conjecture for the Selberg class. Zbl 1254.11084 Kaczorowski, Jerzy; Perelli, Alberto 4 2008 On the distribution of primes in short intervals. Zbl 0787.11038 Kaczorowski, Jerzy; Perelli, Alberto 3 1993 A note on the exceptional set for Goldbach’s problem in short intervals. Zbl 0792.11040 Kaczorowski, J.; Perelli, A.; Pintz, J. 3 1993 On the structure of the Selberg class. III: Sarnak’s rigidity conjecture. Zbl 0997.11072 Kaczorowski, J.; Perelli, A. 3 2000 Results on the Möbius function. Zbl 1136.11063 Kaczorowski, Jerzy 3 2007 Some remarks on the unique factorization in certain semigroups of classical \(L\)-functions. Zbl 1223.11105 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 3 2007 On the Shanks-Rényi race problem. Zbl 0851.11053 Kaczorowski, Jerzy 3 1996 A new form of the Riemann-von Mangoldt explicit formula. Zbl 0856.11040 Kaczorowski, J.; Perelli, A. 3 1996 Classification of \(L\)-functions of degree 2 and conductor 1. Zbl 1503.11122 Kaczorowski, Jerzy; Perelli, Alberto 3 2022 Analytic monoids and factorization problems. Zbl 1383.11111 Kaczorowski, Jerzy 3 2017 On the Shanks-Rényi race problem mod 5. Zbl 0822.11063 Kaczorowski, Jerzy 2 1995 Corrigendum of “A note on the exceptional set for Goldbach’s problem in short intervals”. Zbl 0836.11034 Kaczorowski, J.; Perelli, A.; Pintz, J. 2 1995 Some \(\Omega\)-results related to the fourth power moment of the Riemann zeta-function and the additive divisor problem. Zbl 0887.11036 Kaczorowski, Jerzy; Szydło, Bogdan 2 1997 Boundary values of Dirichlet series and the distribution of primes. Zbl 0909.11038 Kaczorowski, Jerzy 2 1998 On the Linnik–Sprindžuk theorem about the zeros of \(L\)-functions. Zbl 1228.11142 Kaczorowski, J.; Perelli, A. 2 2008 Some remarks on Fourier coefficients of Hecke modular functions. Zbl 1073.11029 Kaczorowski, Jerzy 2 2004 A remark on solutions of functional equations of Riemann’s type. Zbl 1065.11071 Kaczorowski, Jerzy; Perelli, Alberto 2 2004 Irreducible algebraic integers in short intervals. Zbl 1233.11114 Kaczorowski, Jerzy 2 2009 General \(\Omega\)-theorems for coefficients of \(L\)-functions. Zbl 1331.11074 Kaczorowski, Jerzy; Perelli, Alberto 2 2015 \(\Omega \)-estimates related to irreducible algebraic integers. Zbl 1262.11092 Kaczorowski, Jerzy 2 2010 A note on Bessel twists of \(L\)-functions. Zbl 1381.11088 Kaczorowski, J.; Perelli, A. 2 2015 On the number of sign changes in the remainder-term of the prime-ideal theorem. Zbl 0709.11064 Kaczorowski, J.; Staś, W. 2 1988 The \(k\)-functions in multiplicative number theory. V: Changes of sign of some arithmetical error terms. Zbl 0736.11048 Kaczorowski, J. 2 1991 Completely irreducible numbers in algebraic number fields. Zbl 0476.12002 Kaczorowski, Jerzy 2 1981 Analytic number theory. Lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 11-18, 2002. Zbl 1098.11002 1 2006 On the local changes of sign of the remainder term in the prime number formula. Zbl 0880.11064 Kaczorowski, Jerzy 1 1996 On sign-changes in the remainder-term of the prime-number formula. IV. Zbl 0645.10035 Kaczorowski, J. 1 1988 Applications of a theorem of H. Cramér to the Selberg class. Zbl 1028.11056 Kaczorowski, J.; Perelli, A. 1 2002 On the standard twist of the \(L\)-functions of half-integral weight cusp forms. Zbl 1469.11354 Kaczorowski, Jerzy; Perelli, Alberto 1 2020 Structural invariants of \(L\)-functions and applications: a survey. Zbl 1509.11087 Kaczorowski, Jerzy; Perelli, Alberto 1 2022 The standard twist of \(L\)-functions revisited. Zbl 1492.11133 Kaczorowski, J.; Perelli, A. 1 2021 A note on Linnik’s approach to the Dirichlet \(L\)-functions. Zbl 1453.11109 Kaczorowski, J.; Perelli, A. 1 2017 Omega theorems related to the general Euler totient function. Zbl 1361.11059 Kaczorowski, Jerzy; Wiertelak, Kazimierz 1 2014 On sign-changes in the remainder-term of the prime-number formula. III. Zbl 0633.10037 Kaczorowski, J. 1 1987 On a Hecke-type functional equation with conductor \(q=5\). Zbl 1446.11166 Kaczorowski, J.; Perelli, A. 1 2018 On completely irreducible algebraic integers. Zbl 0551.12008 Kaczorowski, J. 1 1984 A correspondence theorem for \(L\)-functions and partial differential operators. Zbl 1249.11092 Kaczorowski, Jerzy; Perelli, Alberto 1 2011 An \(\Omega\)-result for the difference of the coefficients of two \(L\)-functions. Zbl 1270.11095 Kaczorowski, Jerzy; Perelli, Alberto 1 2011 Lower bounds for the conductor of \(L\)-functions. Zbl 1306.11072 Kaczorowski, J.; Perelli, A. 1 2012 Extremal values for the sum \(\sum^\tau_{r=1} e(a2^r/q)\). Zbl 1318.11102 Kaczorowski, J.; Molteni, G. 1 2012 A note on algebraic integers with prescribed factorization properties in short intervals. Zbl 1234.11152 Kaczorowski, Jerzy 1 2009 Internal twists of \(L\)-functions. Zbl 1298.11091 Kaczorowski, Jerzy; Perelli, Alberto 1 2014 Classification of \(L\)-functions of degree 2 and conductor 1. Zbl 1503.11122 Kaczorowski, Jerzy; Perelli, Alberto 3 2022 Structural invariants of \(L\)-functions and applications: a survey. Zbl 1509.11087 Kaczorowski, Jerzy; Perelli, Alberto 1 2022 The standard twist of \(L\)-functions revisited. Zbl 1492.11133 Kaczorowski, J.; Perelli, A. 1 2021 On the standard twist of the \(L\)-functions of half-integral weight cusp forms. Zbl 1469.11354 Kaczorowski, Jerzy; Perelli, Alberto 1 2020 Explicit formulae for averages of Goldbach representations. Zbl 1470.11251 Brüdern, Jörg; Kaczorowski, Jerzy; Perelli, Alberto 7 2019 On a Hecke-type functional equation with conductor \(q=5\). Zbl 1446.11166 Kaczorowski, J.; Perelli, A. 1 2018 Some remarks on the convergence of the Dirichlet series of \(L\)-functions and related questions. Zbl 1381.11089 Kaczorowski, Jerzy; Perelli, Alberto 7 2017 A weak converse theorem for degree 2 \(L\)-functions with conductor 1. Zbl 1411.11082 Kaczorowski, Jerzy; Perelli, Alberto 4 2017 Analytic monoids and factorization problems. Zbl 1383.11111 Kaczorowski, Jerzy 3 2017 A note on Linnik’s approach to the Dirichlet \(L\)-functions. Zbl 1453.11109 Kaczorowski, J.; Perelli, A. 1 2017 Twists and resonance of \(L\)-functions. I. Zbl 1404.11107 Kaczorowski, Jerzy; Perelli, Alberto 11 2016 Twists and resonance of \(L\)-functions. II. Zbl 1404.11108 Kaczorowski, Jerzy; Perelli, Alberto 4 2016 Twists, Euler products and a converse theorem for \(L\)-functions of degree 2. Zbl 1331.11073 Kaczorowski, Jerzy; Perelli, Alberto 10 2015 General \(\Omega\)-theorems for coefficients of \(L\)-functions. Zbl 1331.11074 Kaczorowski, Jerzy; Perelli, Alberto 2 2015 A note on Bessel twists of \(L\)-functions. Zbl 1381.11088 Kaczorowski, J.; Perelli, A. 2 2015 Omega theorems related to the general Euler totient function. Zbl 1361.11059 Kaczorowski, Jerzy; Wiertelak, Kazimierz 1 2014 Internal twists of \(L\)-functions. Zbl 1298.11091 Kaczorowski, Jerzy; Perelli, Alberto 1 2014 On a generalization of the Euler totient function. Zbl 1282.11130 Kaczorowski, Jerzy 6 2013 On the sum of the twisted Euler function. Zbl 1327.11064 Kaczorowski, Jerzy; Wiertelak, Kazimierz 6 2012 Lower bounds for the conductor of \(L\)-functions. Zbl 1306.11072 Kaczorowski, J.; Perelli, A. 1 2012 Extremal values for the sum \(\sum^\tau_{r=1} e(a2^r/q)\). Zbl 1318.11102 Kaczorowski, J.; Molteni, G. 1 2012 On the structure of the Selberg class. VII: \(1<d<2\). Zbl 1235.11085 Kaczorowski, Jerzy; Perelli, Alberto 24 2011 A uniform version of Stirling’s formula. Zbl 1229.33003 Kaczorowski, Jerzy; Perelli, Alberto 4 2011 A correspondence theorem for \(L\)-functions and partial differential operators. Zbl 1249.11092 Kaczorowski, Jerzy; Perelli, Alberto 1 2011 An \(\Omega\)-result for the difference of the coefficients of two \(L\)-functions. Zbl 1270.11095 Kaczorowski, Jerzy; Perelli, Alberto 1 2011 Oscillations of the remainder term related to the Euler totient function. Zbl 1210.11104 Kaczorowski, Jerzy; Wiertelak, Kazimierz 7 2010 Linear twists of \(L\)-functions of degree 2 from the Selberg class. Zbl 1269.11091 Kaczorowski, J.; Perelli, A. 6 2010 A converse theorem for Dirichlet \(L\)-functions. Zbl 1242.11061 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2010 Smoothing arithmetic error terms: the case of the Euler \(\varphi \) function. Zbl 1217.11083 Kaczorowski, Jerzy; Wiertelak, Kazimierz 4 2010 \(\Omega \)-estimates related to irreducible algebraic integers. Zbl 1262.11092 Kaczorowski, Jerzy 2 2010 Some remarks on the universality of periodic \(L\)-functions. Zbl 1262.11085 Kaczorowski, Jerzy 10 2009 On the distribution of irreducible algebraic integers. Zbl 1197.11146 Kaczorowski, Jerzy 8 2009 Oscillations of a given size of some arithmetic error terms. Zbl 1184.11029 Kaczorowski, Jerzy; Wiertelak, Kazimierz 5 2009 Irreducible algebraic integers in short intervals. Zbl 1233.11114 Kaczorowski, Jerzy 2 2009 A note on algebraic integers with prescribed factorization properties in short intervals. Zbl 1234.11152 Kaczorowski, Jerzy 1 2009 Unique factorization results for semigroups of \(L\)-functions. Zbl 1163.11062 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2008 A note on the degree conjecture for the Selberg class. Zbl 1254.11084 Kaczorowski, Jerzy; Perelli, Alberto 4 2008 On the Linnik–Sprindžuk theorem about the zeros of \(L\)-functions. Zbl 1228.11142 Kaczorowski, J.; Perelli, A. 2 2008 On the non-trivial zeros off the critical line for \(L\)-functions from the extended Selberg class. Zbl 1124.11042 Kaczorowski, Jerzy; Kulas, Mieczysław 22 2007 \(\Omega\)-estimates for a class of arithmetic error terms. Zbl 1186.11060 Kaczorowski, Jerzy; Wiertelak, Kazimierz 5 2007 Results on the Möbius function. Zbl 1136.11063 Kaczorowski, Jerzy 3 2007 Some remarks on the unique factorization in certain semigroups of classical \(L\)-functions. Zbl 1223.11105 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 3 2007 Axiomatic theory of \(L\)-functions: the Selberg class. Zbl 1147.11050 Kaczorowski, Jerzy 54 2006 Linear independence of \(L\)-functions. Zbl 1099.11048 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 13 2006 On the value distribution of shifts of universal Dirichlet series. Zbl 1116.11069 Kaczorowski, Jerzy; Laurinčikas, Antanas; Steuding, Jörn 9 2006 Hecke’s theory and the Selberg class. Zbl 1196.11069 Kaczorowski, J.; Molteni, G.; Perelli, A.; Steuding, J.; Wolfart, J. 7 2006 Analytic number theory. Lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 11-18, 2002. Zbl 1098.11002 1 2006 On the structure of the Selberg class. VI: Non-linear twists. Zbl 1082.11055 Kaczorowski, J.; Perelli, A. 28 2005 Some remarks on Fourier coefficients of Hecke modular functions. Zbl 1073.11029 Kaczorowski, Jerzy 2 2004 A remark on solutions of functional equations of Riemann’s type. Zbl 1065.11071 Kaczorowski, Jerzy; Perelli, Alberto 2 2004 On the prime number theorem for the Selberg class. Zbl 1126.11334 Kaczorowski, J.; Perelli, A. 17 2003 Almost periodicity of some error terms in prime number theory. Zbl 1146.11323 Kaczorowski, Jerzy; Ramaré, Olivier 10 2003 Factorization in the extended Selberg class. Zbl 1065.11072 Kaczorowski, Jerzy; Perelli, Alberto 4 2003 On the structure of the Selberg class. V: \(1<d<5/3\). Zbl 1034.11051 Kaczorowski, Jerzy; Perelli, Alberto 17 2002 On the structure of the Selberg class. IV: Basic invariants. Zbl 0996.11053 Kaczorowski, J.; Perelli, A. 4 2002 Applications of a theorem of H. Cramér to the Selberg class. Zbl 1028.11056 Kaczorowski, J.; Perelli, A. 1 2002 Strong multiplicity one for the Selberg class. Zbl 0987.11056 Kaczorowski, Jerzy; Perelli, Alberto 6 2001 On the structure of the Selberg class. II: Invariants and conjectures. Zbl 0982.11051 Kaczorowski, J.; Perelli, A. 9 2000 On the structure of the Selberg class. III: Sarnak’s rigidity conjecture. Zbl 0997.11072 Kaczorowski, J.; Perelli, A. 3 2000 On the structure of the Selberg class. I: \(0\leq d\leq 1\). Zbl 1126.11335 Kaczorowski, Jerzy; Perelli, Alberto 71 1999 The Selberg class: A survey. Zbl 0929.11028 Kaczorowski, J.; Perelli, A. 60 1999 Linear independence in the Selberg class. Zbl 0929.11029 Kaczorowski, J.; Molteni, G.; Perelli, A. 13 1999 Functional independence of the singularities of a class of Dirichlet series. Zbl 0905.11036 Kaczorowski, J.; Perelli, A. 10 1998 Boundary values of Dirichlet series and the distribution of primes. Zbl 0909.11038 Kaczorowski, Jerzy 2 1998 Some \(\Omega\)-results related to the fourth power moment of the Riemann zeta-function and the additive divisor problem. Zbl 0887.11036 Kaczorowski, Jerzy; Szydło, Bogdan 2 1997 On the Shanks-Rényi race problem. Zbl 0851.11053 Kaczorowski, Jerzy 3 1996 A new form of the Riemann-von Mangoldt explicit formula. Zbl 0856.11040 Kaczorowski, J.; Perelli, A. 3 1996 On the local changes of sign of the remainder term in the prime number formula. Zbl 0880.11064 Kaczorowski, Jerzy 1 1996 On the distribution of primes \(\pmod 4\). Zbl 0826.11042 Kaczorowski, Jerzy 10 1995 Non-unique factorizations in orders of global fields. Zbl 0812.11061 Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy 9 1995 On the Shanks-Rényi race problem mod 5. Zbl 0822.11063 Kaczorowski, Jerzy 2 1995 Corrigendum of “A note on the exceptional set for Goldbach’s problem in short intervals”. Zbl 0836.11034 Kaczorowski, J.; Perelli, A.; Pintz, J. 2 1995 Results on the distribution of primes. Zbl 0783.11033 Kaczorowski, Jerzy 5 1994 A contribution to the Shanks-Rényi race problem. Zbl 0799.11030 Kaczorowski, Jerzy 8 1993 On the distribution of primes in short intervals. Zbl 0787.11038 Kaczorowski, Jerzy; Perelli, Alberto 3 1993 A note on the exceptional set for Goldbach’s problem in short intervals. Zbl 0792.11040 Kaczorowski, J.; Perelli, A.; Pintz, J. 3 1993 Analytic and arithmetic theory of semigroups with divisor theory. Zbl 0780.11046 Geroldinger, Alfred; Kaczorowski, Jerzy 8 1992 The boundary values of generalized Dirichlet series and a problem of Chebyshev. Zbl 0790.11066 Kaczorowski, J. 4 1992 The \(k\)-functions in multiplicative number theory. III: Uniform distribution of zeta zeros; discrepancy. IV: On a method of A. E. Ingham. Zbl 0726.11047 Kaczorowski, J. 4 1991 The \(k\)-functions in multiplicative number theory. V: Changes of sign of some arithmetical error terms. Zbl 0736.11048 Kaczorowski, J. 2 1991 The \(k\)-functions in multiplicative number theory. I: On complex explicit formulae. II: Uniform distribution of zeta zeros. Zbl 0716.11040 Kaczorowski, J. 6 1990 On the number of sign changes in the remainder-term of the prime-ideal theorem. Zbl 0709.11064 Kaczorowski, J.; Staś, W. 2 1988 On sign-changes in the remainder-term of the prime-number formula. IV. Zbl 0645.10035 Kaczorowski, J. 1 1988 Oscillatory properties of arithmetical functions. II. Zbl 0631.10026 Kaczorowski, J.; Pintz, J. 6 1987 On sign-changes in the remainder-term of the prime-number formula. III. Zbl 0633.10037 Kaczorowski, J. 1 1987 Oscillatory properties of arithmetical functions. I. Zbl 0613.10036 Kaczorowski, J.; Pintz, J. 13 1986 On sign-changes in the remainder-term of the prime-number formula. II. Zbl 0555.10024 Kaczorowski, J. 4 1985 On sign-changes in the remainder-term of the prime-number formula. I. Zbl 0555.10023 Kaczorowski, J. 14 1984 A pure arithmetical definition of the class group. Zbl 0557.12004 Kaczorowski, J. 5 1984 On completely irreducible algebraic integers. Zbl 0551.12008 Kaczorowski, J. 1 1984 Some remarks on factorization in algebraic number fields. Zbl 0526.12006 Kaczorowski, J. 18 1983 A pure arithmetical characterization for certain fields with a given class group. Zbl 0501.12010 Kaczorowski, J. 7 1981 Completely irreducible numbers in algebraic number fields. Zbl 0476.12002 Kaczorowski, Jerzy 2 1981 all cited Publications top 5 cited Publications all top 5 Cited by 285 Authors 44 Kaczorowski, Jerzy 30 Perelli, Alberto 14 Pankowski, Łukasz 12 Geroldinger, Alfred 12 Steuding, Jörn 9 Nakamura, Takashi 8 Laurinčikas, Antanas 8 Macaitienė, Renata 8 Mazhouda, Kamel 8 Schmid, Wolfgang Alexander 7 Radziejewski, Maciej 7 Smajlović, Lejla 6 Odžak, Almasa 6 Šiaučiūnas, Darius 6 Sourmelidis, Athanasios 6 Wiertelak, Kazimierz 5 Booker, Andrew R. 5 Cantarini, Marco 5 Lamzouri, Youness 5 Li, Baoqin 5 Li, Xiaomin 5 Suriajaya, Ade Irma 5 Szydło, Bogdan 5 Zaccagnini, Alessandro 4 Chapman, Scott Thomas 4 Fiorilli, Daniel 4 Ford, Kevin B. 4 Garunkštis, Ramūnas 4 Halter-Koch, Franz 4 Languasco, Alessandro 4 Molteni, Giuseppe 4 Nakato, Sarah 4 Omar, Sami 4 Ramaré, Olivier 4 Yi, Hongxun 4 Zhai, Wenguang 3 Chaubey, Sneha 3 Chen, Junfan 3 Coppola, Giovanni 3 Dixit, Anup B. 3 Ernvall-Hytönen, Anne-Maria 3 Farmer, Michael 3 Gambini, Alessandro 3 Ivić, Aleksandar 3 Ki, Haseo 3 Koyama, Shin-ya 3 Mahatab, Kamalakshya 3 Mishou, Hidehiko 3 Mukhopadhyay, Anirban 3 Noda, Takumi 3 Pintz, Janos 3 Righetti, Mattia 3 Stoncelis, Mindaugas 3 Ye, Yangbo 3 Zaharescu, Alexandru 2 Bailleul, Alexandre 2 Bays, Carter 2 Bucur, Alina 2 Cao, Xiaodong 2 Ciemała, Marzena 2 Cimpoeaş, Mircea 2 Cuevas, Claudio 2 de la Bretèche, Régis 2 de Roton, Anne 2 Devin, Lucile 2 Frisch, Sophie 2 Garbaliauskienė, Virginija 2 Hao, Wenjie 2 Hudson, Richard H. 2 Iwata, Hideto 2 Laporta, Maurizio B. S. 2 Lester, Stephen J. 2 Lu, Feng 2 Martin, Greg 2 Matiyasevich, Yuriĭ Vladimirovich 2 Mine, Masahiro 2 Moree, Pieter 2 Murty, Maruti Ram 2 Nagoshi, Hirofumi 2 Oliver, Thomas 2 Plagne, Alain 2 Ren, Xiumin 2 Rissner, Roswitha 2 Rubinstein, Michael O. 2 Šimėnas, Raivydas 2 Smith, William W. 2 Soto, Herme 2 Soundararajan, Kannan 2 Srinivas, Kotyada 2 Sun, Qingfeng 2 Tanigawa, Yoshio 1 Aistleitner, Christoph 1 Akiyama, Shigeki 1 Anderson, Daniel D. 1 Aoki, Miho 1 Axler, Christian 1 Balčiūnas, Aidas 1 Banerjee, Debika 1 Barrett, Owen 1 Bartz, Krystyna Maria ...and 185 more Authors all top 5 Cited in 102 Serials 29 Journal of Number Theory 18 Functiones et Approximatio. Commentarii Mathematici 14 Acta Arithmetica 13 Monatshefte für Mathematik 13 International Journal of Number Theory 10 Mathematische Annalen 8 Journal of Mathematical Analysis and Applications 8 Mathematische Zeitschrift 8 The Ramanujan Journal 7 Archiv der Mathematik 7 Proceedings of the American Mathematical Society 6 Mathematica Slovaca 6 Mathematika 6 Transactions of the American Mathematical Society 6 Journal de Théorie des Nombres de Bordeaux 5 Lithuanian Mathematical Journal 5 Mathematische Nachrichten 5 Semigroup Forum 5 Proceedings of the Steklov Institute of Mathematics 4 Bulletin of the Australian Mathematical Society 4 Advances in Mathematics 4 Acta Mathematica Hungarica 4 Experimental Mathematics 4 Mathematical Modelling and Analysis 4 Algebra & Number Theory 3 Israel Journal of Mathematics 3 Mathematics of Computation 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Duke Mathematical Journal 3 Journal of Algebra 3 Expositiones Mathematicae 3 Frontiers of Mathematics in China 3 Research in Number Theory 2 Communications in Algebra 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Ukrainian Mathematical Journal 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Canadian Mathematical Bulletin 2 Nagoya Mathematical Journal 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Journal of Mathematical Sciences (New York) 2 Annales Mathématiques Blaise Pascal 2 Analysis (München) 2 Journal of the European Mathematical Society (JEMS) 2 Integers 2 Journal of Algebra and its Applications 2 Chebyshevskiĭ Sbornik 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 2 Open Mathematics 2 Journal de l’École Polytechnique – Mathématiques 1 Archive for History of Exact Sciences 1 Houston Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 Annales Polonici Mathematici 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of Pure and Applied Algebra 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Probability Theory and Related Fields 1 Constructive Approximation 1 Forum Mathematicum 1 International Journal of Mathematics 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 The Journal of Analysis 1 Kyushu Journal of Mathematics 1 Turkish Journal of Mathematics 1 Integral Transforms and Special Functions 1 Abstract and Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Annals of Mathematics. Second Series 1 LMS Journal of Computation and Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of High Energy Physics 1 Nonlinear Analysis. Modelling and Control 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Computational Methods and Function Theory 1 Milan Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Complex Variables and Elliptic Equations 1 European Journal of Mathematics 1 Journal of Numbers 1 Bollettino dell’Unione Matematica Italiana ...and 2 more Serials all top 5 Cited in 25 Fields 310 Number theory (11-XX) 32 Functions of a complex variable (30-XX) 22 Group theory and generalizations (20-XX) 17 Commutative algebra (13-XX) 6 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 4 Integral transforms, operational calculus (44-XX) 3 Combinatorics (05-XX) 3 Integral equations (45-XX) 2 Algebraic geometry (14-XX) 2 \(K\)-theory (19-XX) 2 Partial differential equations (35-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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