Edit Profile (opens in new tab) Kaczorowski, Jerzy Compute Distance To: Compute Author ID: kaczorowski.jerzy Published as: Kaczorowski, Jerzy; Kaczorowski, J. External Links: MGP · Wikidata Documents Indexed: 116 Publications since 1980 2 Contributions as Editor Reviewing Activity: 89 Reviews Biographic References: 1 Publication Co-Authors: 20 Co-Authors with 77 Joint Publications 574 Co-Co-Authors all top 5 Co-Authors 41 single-authored 55 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 Halter-Koch, Franz 1 Heath-Brown, Roger 1 Iwaniec, Henryk 1 Kulas, Mieczysław 1 Languasco, Alessandro 1 Laurinčikas, Antanas 1 Pieprzyk, Josef P. 1 Pomykała, Jacek M. 1 Ramaré, Olivier 1 Szydło, Bogdan 1 Wolfart, Jürgen all top 5 Serials 17 Acta Arithmetica 12 Functiones et Approximatio. Commentarii Mathematici 6 Monatshefte für Mathematik 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Colloquium Mathematicum 3 Journal of Number Theory 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 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 114 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 631 times in 297 Documents Cited by ▼ Year ▼ On the structure of the Selberg class. I: \(0\leq d\leq 1\). Zbl 1126.11335Kaczorowski, Jerzy; Perelli, Alberto 63 1999 The Selberg class: A survey. Zbl 0929.11028Kaczorowski, J.; Perelli, A. 55 1999 Axiomatic theory of \(L\)-functions: the Selberg class. Zbl 1147.11050Kaczorowski, Jerzy 42 2006 On the structure of the Selberg class. VII: \(1<d<2\). Zbl 1235.11085Kaczorowski, Jerzy; Perelli, Alberto 24 2011 On the structure of the Selberg class. VI: Non-linear twists. Zbl 1082.11055Kaczorowski, J.; Perelli, A. 23 2005 On the non-trivial zeros off the critical line for \(L\)-functions from the extended Selberg class. Zbl 1124.11042Kaczorowski, Jerzy; Kulas, Mieczysław 22 2007 Some remarks on factorization in algebraic number fields. Zbl 0526.12006Kaczorowski, J. 17 1983 On the structure of the Selberg class. V: \(1<d<5/3\). Zbl 1034.11051Kaczorowski, Jerzy; Perelli, Alberto 17 2002 On the prime number theorem for the Selberg class. Zbl 1126.11334Kaczorowski, J.; Perelli, A. 16 2003 On sign-changes in the remainder-term of the prime-number formula. I. Zbl 0555.10023Kaczorowski, J. 13 1984 Linear independence of \(L\)-functions. Zbl 1099.11048Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 13 2006 Linear independence in the Selberg class. Zbl 0929.11029Kaczorowski, J.; Molteni, G.; Perelli, A. 13 1999 Oscillatory properties of arithmetical functions. I. Zbl 0613.10036Kaczorowski, J.; Pintz, J. 11 1986 Almost periodicity of some error terms in prime number theory. Zbl 1146.11323Kaczorowski, Jerzy; Ramaré, Olivier 10 2003 Some remarks on the universality of periodic \(L\)-functions. Zbl 1262.11085Kaczorowski, Jerzy 10 2009 On the structure of the Selberg class. II: Invariants and conjectures. Zbl 0982.11051Kaczorowski, J.; Perelli, A. 9 2000 Non-unique factorizations in orders of global fields. Zbl 0812.11061Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy 9 1995 On the distribution of primes \(\pmod 4\). Zbl 0826.11042Kaczorowski, Jerzy 9 1995 A contribution to the Shanks-Rényi race problem. Zbl 0799.11030Kaczorowski, Jerzy 8 1993 On the value distribution of shifts of universal Dirichlet series. Zbl 1116.11069Kaczorowski, Jerzy; Laurinčikas, Antanas; Steuding, Jörn 8 2006 On the distribution of irreducible algebraic integers. Zbl 1197.11146Kaczorowski, Jerzy 8 2009 Analytic and arithmetic theory of semigroups with divisor theory. Zbl 0780.11046Geroldinger, Alfred; Kaczorowski, Jerzy 8 1992 Twists and resonance of \(L\)-functions. I. Zbl 1404.11107Kaczorowski, Jerzy; Perelli, Alberto 8 2016 Functional independence of the singularities of a class of Dirichlet series. Zbl 0905.11036Kaczorowski, J.; Perelli, A. 8 1998 Some remarks on the convergence of the Dirichlet series of \(L\)-functions and related questions. Zbl 1381.11089Kaczorowski, Jerzy; Perelli, Alberto 7 2017 A pure arithmetical characterization for certain fields with a given class group. Zbl 0501.12010Kaczorowski, J. 7 1981 Hecke’s theory and the Selberg class. Zbl 1196.11069Kaczorowski, J.; Molteni, G.; Perelli, A.; Steuding, J.; Wolfart, J. 7 2006 Oscillations of the remainder term related to the Euler totient function. Zbl 1210.11104Kaczorowski, Jerzy; Wiertelak, Kazimierz 7 2010 Twists, Euler products and a converse theorem for \(L\)-functions of degree 2. Zbl 1331.11073Kaczorowski, Jerzy; Perelli, Alberto 7 2015 Linear twists of \(L\)-functions of degree 2 from the Selberg class. Zbl 1269.11091Kaczorowski, J.; Perelli, A. 6 2010 Oscillatory properties of arithmetical functions. II. Zbl 0631.10026Kaczorowski, J.; Pintz, J. 6 1987 On the sum of the twisted Euler function. Zbl 1327.11064Kaczorowski, Jerzy; Wiertelak, Kazimierz 6 2012 Explicit formulae for averages of Goldbach representations. Zbl 1470.11251Brüdern, Jörg; Kaczorowski, Jerzy; Perelli, Alberto 6 2019 A pure arithmetical definition of the class group. Zbl 0557.12004Kaczorowski, J. 5 1984 Unique factorization results for semigroups of \(L\)-functions. Zbl 1163.11062Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2008 \(\Omega\)-estimates for a class of arithmetic error terms. Zbl 1186.11060Kaczorowski, Jerzy; Wiertelak, Kazimierz 5 2007 The \(k\)-functions in multiplicative number theory. I: On complex explicit formulae. II: Uniform distribution of zeta zeros. Zbl 0716.11040Kaczorowski, J. 5 1990 Oscillations of a given size of some arithmetic error terms. Zbl 1184.11029Kaczorowski, Jerzy; Wiertelak, Kazimierz 5 2009 A converse theorem for Dirichlet \(L\)-functions. Zbl 1242.11061Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2010 Strong multiplicity one for the Selberg class. Zbl 0987.11056Kaczorowski, Jerzy; Perelli, Alberto 5 2001 The boundary values of generalized Dirichlet series and a problem of Chebyshev. Zbl 0790.11066Kaczorowski, J. 4 1992 Results on the distribution of primes. Zbl 0783.11033Kaczorowski, Jerzy 4 1994 On sign-changes in the remainder-term of the prime-number formula. II. Zbl 0555.10024Kaczorowski, J. 4 1985 On a generalization of the Euler totient function. Zbl 1282.11130Kaczorowski, Jerzy 4 2013 On the structure of the Selberg class. IV: Basic invariants. Zbl 0996.11053Kaczorowski, J.; Perelli, A. 4 2002 The \(k\)-functions in multiplicative number theory. III: Uniform distribution of zeta zeros; discrepancy. IV: On a method of A. E. Ingham. Zbl 0726.11047Kaczorowski, J. 4 1991 Factorization in the extended Selberg class. Zbl 1065.11072Kaczorowski, Jerzy; Perelli, Alberto 4 2003 Smoothing arithmetic error terms: the case of the Euler \(\varphi \) function. Zbl 1217.11083Kaczorowski, Jerzy; Wiertelak, Kazimierz 4 2010 A uniform version of Stirling’s formula. Zbl 1229.33003Kaczorowski, Jerzy; Perelli, Alberto 4 2011 Twists and resonance of \(L\)-functions. II. Zbl 1404.11108Kaczorowski, Jerzy; Perelli, Alberto 4 2016 On the Shanks-Rényi race problem. Zbl 0851.11053Kaczorowski, Jerzy 3 1996 A new form of the Riemann-von Mangoldt explicit formula. Zbl 0856.11040Kaczorowski, J.; Perelli, A. 3 1996 On the distribution of primes in short intervals. Zbl 0787.11038Kaczorowski, Jerzy; Perelli, Alberto 3 1993 A note on the exceptional set for Goldbach’s problem in short intervals. Zbl 0792.11040Kaczorowski, J.; Perelli, A.; Pintz, J. 3 1993 Results on the Möbius function. Zbl 1136.11063Kaczorowski, Jerzy 3 2007 On the structure of the Selberg class. III: Sarnak’s rigidity conjecture. Zbl 0997.11072Kaczorowski, J.; Perelli, A. 3 2000 Some remarks on the unique factorization in certain semigroups of classical \(L\)-functions. Zbl 1223.11105Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 3 2007 A weak converse theorem for degree 2 \(L\)-functions with conductor 1. Zbl 1411.11082Kaczorowski, Jerzy; Perelli, Alberto 3 2017 Analytic monoids and factorization problems. Zbl 1383.11111Kaczorowski, Jerzy 3 2017 A note on the degree conjecture for the Selberg class. Zbl 1254.11084Kaczorowski, Jerzy; Perelli, Alberto 3 2008 Classification of \(L\)-functions of degree 2 and conductor 1. Zbl 1503.11122Kaczorowski, Jerzy; Perelli, Alberto 3 2022 The \(k\)-functions in multiplicative number theory. V: Changes of sign of some arithmetical error terms. Zbl 0736.11048Kaczorowski, J. 2 1991 On the Shanks-Rényi race problem mod 5. Zbl 0822.11063Kaczorowski, Jerzy 2 1995 Corrigendum of “A note on the exceptional set for Goldbach’s problem in short intervals”. Zbl 0836.11034Kaczorowski, J.; Perelli, A.; Pintz, J. 2 1995 On the number of sign changes in the remainder-term of the prime-ideal theorem. Zbl 0709.11064Kaczorowski, J.; Staś, W. 2 1988 General \(\Omega\)-theorems for coefficients of \(L\)-functions. Zbl 1331.11074Kaczorowski, Jerzy; Perelli, Alberto 2 2015 Irreducible algebraic integers in short intervals. Zbl 1233.11114Kaczorowski, Jerzy 2 2009 \(\Omega \)-estimates related to irreducible algebraic integers. Zbl 1262.11092Kaczorowski, Jerzy 2 2010 Some remarks on Fourier coefficients of Hecke modular functions. Zbl 1073.11029Kaczorowski, Jerzy 2 2004 A remark on solutions of functional equations of Riemann’s type. Zbl 1065.11071Kaczorowski, Jerzy; Perelli, Alberto 2 2004 Boundary values of Dirichlet series and the distribution of primes. Zbl 0909.11038Kaczorowski, Jerzy 2 1998 On the standard twist of the \(L\)-functions of half-integral weight cusp forms. Zbl 1469.11354Kaczorowski, Jerzy; Perelli, Alberto 1 2020 On sign-changes in the remainder-term of the prime-number formula. IV. Zbl 0645.10035Kaczorowski, J. 1 1988 On a Hecke-type functional equation with conductor \(q=5\). Zbl 1446.11166Kaczorowski, J.; Perelli, A. 1 2018 On completely irreducible algebraic integers. Zbl 0551.12008Kaczorowski, J. 1 1984 Completely irreducible numbers in algebraic number fields. Zbl 0476.12002Kaczorowski, Jerzy 1 1981 On the Linnik–Sprindžuk theorem about the zeros of \(L\)-functions. Zbl 1228.11142Kaczorowski, J.; Perelli, A. 1 2008 On sign-changes in the remainder-term of the prime-number formula. III. Zbl 0633.10037Kaczorowski, J. 1 1987 Some \(\Omega\)-results related to the fourth power moment of the Riemann zeta-function and the additive divisor problem. Zbl 0887.11036Kaczorowski, Jerzy; Szydło, Bogdan 1 1997 On the local changes of sign of the remainder term in the prime number formula. Zbl 0880.11064Kaczorowski, Jerzy 1 1996 Applications of a theorem of H. Cramér to the Selberg class. Zbl 1028.11056Kaczorowski, J.; Perelli, A. 1 2002 Omega theorems related to the general Euler totient function. Zbl 1361.11059Kaczorowski, Jerzy; Wiertelak, Kazimierz 1 2014 A correspondence theorem for \(L\)-functions and partial differential operators. Zbl 1249.11092Kaczorowski, Jerzy; Perelli, Alberto 1 2011 An \(\Omega\)-result for the difference of the coefficients of two \(L\)-functions. Zbl 1270.11095Kaczorowski, Jerzy; Perelli, Alberto 1 2011 Extremal values for the sum \(\sum^\tau_{r=1} e(a2^r/q)\). Zbl 1318.11102Kaczorowski, J.; Molteni, G. 1 2012 A note on Linnik’s approach to the Dirichlet \(L\)-functions. Zbl 1453.11109Kaczorowski, J.; Perelli, A. 1 2017 A note on Bessel twists of \(L\)-functions. Zbl 1381.11088Kaczorowski, J.; Perelli, A. 1 2015 Internal twists of \(L\)-functions. Zbl 1298.11091Kaczorowski, Jerzy; Perelli, Alberto 1 2014 A note on algebraic integers with prescribed factorization properties in short intervals. Zbl 1234.11152Kaczorowski, Jerzy 1 2009 The standard twist of \(L\)-functions revisited. Zbl 1492.11133Kaczorowski, J.; Perelli, A. 1 2021 Structural invariants of \(L\)-functions and applications: a survey. Zbl 07595427Kaczorowski, Jerzy; Perelli, Alberto 1 2022 Classification of \(L\)-functions of degree 2 and conductor 1. Zbl 1503.11122Kaczorowski, Jerzy; Perelli, Alberto 3 2022 Structural invariants of \(L\)-functions and applications: a survey. Zbl 07595427Kaczorowski, Jerzy; Perelli, Alberto 1 2022 The standard twist of \(L\)-functions revisited. Zbl 1492.11133Kaczorowski, J.; Perelli, A. 1 2021 On the standard twist of the \(L\)-functions of half-integral weight cusp forms. Zbl 1469.11354Kaczorowski, Jerzy; Perelli, Alberto 1 2020 Explicit formulae for averages of Goldbach representations. Zbl 1470.11251Brüdern, Jörg; Kaczorowski, Jerzy; Perelli, Alberto 6 2019 On a Hecke-type functional equation with conductor \(q=5\). Zbl 1446.11166Kaczorowski, J.; Perelli, A. 1 2018 Some remarks on the convergence of the Dirichlet series of \(L\)-functions and related questions. Zbl 1381.11089Kaczorowski, Jerzy; Perelli, Alberto 7 2017 A weak converse theorem for degree 2 \(L\)-functions with conductor 1. Zbl 1411.11082Kaczorowski, Jerzy; Perelli, Alberto 3 2017 Analytic monoids and factorization problems. Zbl 1383.11111Kaczorowski, Jerzy 3 2017 A note on Linnik’s approach to the Dirichlet \(L\)-functions. Zbl 1453.11109Kaczorowski, J.; Perelli, A. 1 2017 Twists and resonance of \(L\)-functions. I. Zbl 1404.11107Kaczorowski, Jerzy; Perelli, Alberto 8 2016 Twists and resonance of \(L\)-functions. II. Zbl 1404.11108Kaczorowski, Jerzy; Perelli, Alberto 4 2016 Twists, Euler products and a converse theorem for \(L\)-functions of degree 2. Zbl 1331.11073Kaczorowski, Jerzy; Perelli, Alberto 7 2015 General \(\Omega\)-theorems for coefficients of \(L\)-functions. Zbl 1331.11074Kaczorowski, Jerzy; Perelli, Alberto 2 2015 A note on Bessel twists of \(L\)-functions. Zbl 1381.11088Kaczorowski, J.; Perelli, A. 1 2015 Omega theorems related to the general Euler totient function. Zbl 1361.11059Kaczorowski, Jerzy; Wiertelak, Kazimierz 1 2014 Internal twists of \(L\)-functions. Zbl 1298.11091Kaczorowski, Jerzy; Perelli, Alberto 1 2014 On a generalization of the Euler totient function. Zbl 1282.11130Kaczorowski, Jerzy 4 2013 On the sum of the twisted Euler function. Zbl 1327.11064Kaczorowski, Jerzy; Wiertelak, Kazimierz 6 2012 Extremal values for the sum \(\sum^\tau_{r=1} e(a2^r/q)\). Zbl 1318.11102Kaczorowski, J.; Molteni, G. 1 2012 On the structure of the Selberg class. VII: \(1<d<2\). Zbl 1235.11085Kaczorowski, Jerzy; Perelli, Alberto 24 2011 A uniform version of Stirling’s formula. Zbl 1229.33003Kaczorowski, Jerzy; Perelli, Alberto 4 2011 A correspondence theorem for \(L\)-functions and partial differential operators. Zbl 1249.11092Kaczorowski, Jerzy; Perelli, Alberto 1 2011 An \(\Omega\)-result for the difference of the coefficients of two \(L\)-functions. Zbl 1270.11095Kaczorowski, Jerzy; Perelli, Alberto 1 2011 Oscillations of the remainder term related to the Euler totient function. Zbl 1210.11104Kaczorowski, Jerzy; Wiertelak, Kazimierz 7 2010 Linear twists of \(L\)-functions of degree 2 from the Selberg class. Zbl 1269.11091Kaczorowski, J.; Perelli, A. 6 2010 A converse theorem for Dirichlet \(L\)-functions. Zbl 1242.11061Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2010 Smoothing arithmetic error terms: the case of the Euler \(\varphi \) function. Zbl 1217.11083Kaczorowski, Jerzy; Wiertelak, Kazimierz 4 2010 \(\Omega \)-estimates related to irreducible algebraic integers. Zbl 1262.11092Kaczorowski, Jerzy 2 2010 Some remarks on the universality of periodic \(L\)-functions. Zbl 1262.11085Kaczorowski, Jerzy 10 2009 On the distribution of irreducible algebraic integers. Zbl 1197.11146Kaczorowski, Jerzy 8 2009 Oscillations of a given size of some arithmetic error terms. Zbl 1184.11029Kaczorowski, Jerzy; Wiertelak, Kazimierz 5 2009 Irreducible algebraic integers in short intervals. Zbl 1233.11114Kaczorowski, Jerzy 2 2009 A note on algebraic integers with prescribed factorization properties in short intervals. Zbl 1234.11152Kaczorowski, Jerzy 1 2009 Unique factorization results for semigroups of \(L\)-functions. Zbl 1163.11062Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2008 A note on the degree conjecture for the Selberg class. Zbl 1254.11084Kaczorowski, Jerzy; Perelli, Alberto 3 2008 On the Linnik–Sprindžuk theorem about the zeros of \(L\)-functions. Zbl 1228.11142Kaczorowski, J.; Perelli, A. 1 2008 On the non-trivial zeros off the critical line for \(L\)-functions from the extended Selberg class. Zbl 1124.11042Kaczorowski, Jerzy; Kulas, Mieczysław 22 2007 \(\Omega\)-estimates for a class of arithmetic error terms. Zbl 1186.11060Kaczorowski, Jerzy; Wiertelak, Kazimierz 5 2007 Results on the Möbius function. Zbl 1136.11063Kaczorowski, Jerzy 3 2007 Some remarks on the unique factorization in certain semigroups of classical \(L\)-functions. Zbl 1223.11105Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 3 2007 Axiomatic theory of \(L\)-functions: the Selberg class. Zbl 1147.11050Kaczorowski, Jerzy 42 2006 Linear independence of \(L\)-functions. Zbl 1099.11048Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 13 2006 On the value distribution of shifts of universal Dirichlet series. Zbl 1116.11069Kaczorowski, Jerzy; Laurinčikas, Antanas; Steuding, Jörn 8 2006 Hecke’s theory and the Selberg class. Zbl 1196.11069Kaczorowski, J.; Molteni, G.; Perelli, A.; Steuding, J.; Wolfart, J. 7 2006 On the structure of the Selberg class. VI: Non-linear twists. Zbl 1082.11055Kaczorowski, J.; Perelli, A. 23 2005 Some remarks on Fourier coefficients of Hecke modular functions. Zbl 1073.11029Kaczorowski, Jerzy 2 2004 A remark on solutions of functional equations of Riemann’s type. Zbl 1065.11071Kaczorowski, Jerzy; Perelli, Alberto 2 2004 On the prime number theorem for the Selberg class. Zbl 1126.11334Kaczorowski, J.; Perelli, A. 16 2003 Almost periodicity of some error terms in prime number theory. Zbl 1146.11323Kaczorowski, Jerzy; Ramaré, Olivier 10 2003 Factorization in the extended Selberg class. Zbl 1065.11072Kaczorowski, Jerzy; Perelli, Alberto 4 2003 On the structure of the Selberg class. V: \(1<d<5/3\). Zbl 1034.11051Kaczorowski, Jerzy; Perelli, Alberto 17 2002 On the structure of the Selberg class. IV: Basic invariants. Zbl 0996.11053Kaczorowski, J.; Perelli, A. 4 2002 Applications of a theorem of H. Cramér to the Selberg class. Zbl 1028.11056Kaczorowski, J.; Perelli, A. 1 2002 Strong multiplicity one for the Selberg class. Zbl 0987.11056Kaczorowski, Jerzy; Perelli, Alberto 5 2001 On the structure of the Selberg class. II: Invariants and conjectures. Zbl 0982.11051Kaczorowski, J.; Perelli, A. 9 2000 On the structure of the Selberg class. III: Sarnak’s rigidity conjecture. Zbl 0997.11072Kaczorowski, J.; Perelli, A. 3 2000 On the structure of the Selberg class. I: \(0\leq d\leq 1\). Zbl 1126.11335Kaczorowski, Jerzy; Perelli, Alberto 63 1999 The Selberg class: A survey. Zbl 0929.11028Kaczorowski, J.; Perelli, A. 55 1999 Linear independence in the Selberg class. Zbl 0929.11029Kaczorowski, J.; Molteni, G.; Perelli, A. 13 1999 Functional independence of the singularities of a class of Dirichlet series. Zbl 0905.11036Kaczorowski, J.; Perelli, A. 8 1998 Boundary values of Dirichlet series and the distribution of primes. Zbl 0909.11038Kaczorowski, Jerzy 2 1998 Some \(\Omega\)-results related to the fourth power moment of the Riemann zeta-function and the additive divisor problem. Zbl 0887.11036Kaczorowski, Jerzy; Szydło, Bogdan 1 1997 On the Shanks-Rényi race problem. Zbl 0851.11053Kaczorowski, Jerzy 3 1996 A new form of the Riemann-von Mangoldt explicit formula. Zbl 0856.11040Kaczorowski, J.; Perelli, A. 3 1996 On the local changes of sign of the remainder term in the prime number formula. Zbl 0880.11064Kaczorowski, Jerzy 1 1996 Non-unique factorizations in orders of global fields. Zbl 0812.11061Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy 9 1995 On the distribution of primes \(\pmod 4\). Zbl 0826.11042Kaczorowski, Jerzy 9 1995 On the Shanks-Rényi race problem mod 5. Zbl 0822.11063Kaczorowski, Jerzy 2 1995 Corrigendum of “A note on the exceptional set for Goldbach’s problem in short intervals”. Zbl 0836.11034Kaczorowski, J.; Perelli, A.; Pintz, J. 2 1995 Results on the distribution of primes. Zbl 0783.11033Kaczorowski, Jerzy 4 1994 A contribution to the Shanks-Rényi race problem. Zbl 0799.11030Kaczorowski, Jerzy 8 1993 On the distribution of primes in short intervals. Zbl 0787.11038Kaczorowski, Jerzy; Perelli, Alberto 3 1993 A note on the exceptional set for Goldbach’s problem in short intervals. Zbl 0792.11040Kaczorowski, J.; Perelli, A.; Pintz, J. 3 1993 Analytic and arithmetic theory of semigroups with divisor theory. Zbl 0780.11046Geroldinger, Alfred; Kaczorowski, Jerzy 8 1992 The boundary values of generalized Dirichlet series and a problem of Chebyshev. Zbl 0790.11066Kaczorowski, 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 0726.11047Kaczorowski, J. 4 1991 The \(k\)-functions in multiplicative number theory. V: Changes of sign of some arithmetical error terms. Zbl 0736.11048Kaczorowski, J. 2 1991 The \(k\)-functions in multiplicative number theory. I: On complex explicit formulae. II: Uniform distribution of zeta zeros. Zbl 0716.11040Kaczorowski, J. 5 1990 On the number of sign changes in the remainder-term of the prime-ideal theorem. Zbl 0709.11064Kaczorowski, J.; Staś, W. 2 1988 On sign-changes in the remainder-term of the prime-number formula. IV. Zbl 0645.10035Kaczorowski, J. 1 1988 Oscillatory properties of arithmetical functions. II. Zbl 0631.10026Kaczorowski, J.; Pintz, J. 6 1987 On sign-changes in the remainder-term of the prime-number formula. III. Zbl 0633.10037Kaczorowski, J. 1 1987 Oscillatory properties of arithmetical functions. I. Zbl 0613.10036Kaczorowski, J.; Pintz, J. 11 1986 On sign-changes in the remainder-term of the prime-number formula. II. Zbl 0555.10024Kaczorowski, J. 4 1985 On sign-changes in the remainder-term of the prime-number formula. I. Zbl 0555.10023Kaczorowski, J. 13 1984 A pure arithmetical definition of the class group. Zbl 0557.12004Kaczorowski, J. 5 1984 On completely irreducible algebraic integers. Zbl 0551.12008Kaczorowski, J. 1 1984 Some remarks on factorization in algebraic number fields. Zbl 0526.12006Kaczorowski, J. 17 1983 A pure arithmetical characterization for certain fields with a given class group. Zbl 0501.12010Kaczorowski, J. 7 1981 Completely irreducible numbers in algebraic number fields. Zbl 0476.12002Kaczorowski, Jerzy 1 1981 all cited Publications top 5 cited Publications all top 5 Cited by 256 Authors 41 Kaczorowski, Jerzy 28 Perelli, Alberto 14 Pankowski, Łukasz 12 Geroldinger, Alfred 12 Steuding, Jörn 9 Nakamura, Takashi 8 Laurinčikas, Antanas 8 Schmid, Wolfgang Alexander 7 Macaitienė, Renata 7 Mazhouda, Kamel 7 Smajlović, Lejla 6 Molteni, Giuseppe 6 Odžak, Almasa 6 Radziejewski, Maciej 6 Sourmelidis, Athanasios 6 Wiertelak, Kazimierz 5 Booker, Andrew R. 5 Cantarini, Marco 5 Lamzouri, Youness 5 Šiaučiūnas, Darius 5 Suriajaya, Ade Irma 5 Szydło, Bogdan 4 Chapman, Scott Thomas 4 Ford, Kevin B. 4 Halter-Koch, Franz 4 Li, Baoqin 4 Omar, Sami 4 Ramaré, Olivier 4 Zaccagnini, Alessandro 4 Zhai, Wenguang 3 Chen, Junfan 3 Coppola, Giovanni 3 Ernvall-Hytönen, Anne-Maria 3 Gambini, Alessandro 3 Garunkštis, Ramūnas 3 Ivić, Aleksandar 3 Ki, Haseo 3 Languasco, Alessandro 3 Mishou, Hidehiko 3 Nakato, Sarah 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 Chaubey, Sneha 2 Ciemała, Marzena 2 Cimpoeaş, Mircea 2 Cuevas, Claudio 2 de Roton, Anne 2 Devin, Lucile 2 Dixit, Anup B. 2 Farmer, Michael 2 Fiorilli, Daniel 2 Frisch, Sophie 2 Hao, Wenjie 2 Hudson, Richard H. 2 Iwata, Hideto 2 Koyama, Shin-ya 2 Laporta, Maurizio B. S. 2 Lu, Feng 2 Mahatab, Kamalakshya 2 Matiyasevich, Yuriĭ Vladimirovich 2 Mine, Masahiro 2 Moree, Pieter 2 Mukhopadhyay, Anirban 2 Nagoshi, Hirofumi 2 Noda, Takumi 2 Oliver, Thomas 2 Plagne, Alain 2 Ren, Xiumin 2 Rubinstein, Michael O. 2 Šimėnas, Raivydas 2 Smith, William W. 2 Soto, Herme 2 Soundararajan, Kannan 2 Srinivas, Kotyada 2 Tanigawa, Yoshio 1 Aistleitner, Christoph 1 Akiyama, Shigeki 1 Anderson, Daniel D. 1 Aoki, Miho 1 Balčiūnas, Aidas 1 Barrett, Owen 1 Bartz, Krystyna Maria 1 Baustian, Falko 1 Bettin, Sandro 1 Bharadwaj, Abhishek T. 1 Bhowmik, Gautami 1 Bllaca, Kajtaz H. 1 Bowles, Craig 1 Brantner, Johannes 1 Brevig, Ole Fredrik 1 Bureaux, Julien 1 Burnol, Jean-François 1 Bystrzycki, Rafał ...and 156 more Authors all top 5 Cited in 93 Serials 28 Journal of Number Theory 17 Functiones et Approximatio. Commentarii Mathematici 13 Monatshefte für Mathematik 13 International Journal of Number Theory 10 Mathematische Annalen 9 Acta Arithmetica 8 Mathematische Zeitschrift 7 Journal of Mathematical Analysis and Applications 7 Archiv der Mathematik 7 The Ramanujan Journal 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 6 Journal de Théorie des Nombres de Bordeaux 5 Lithuanian Mathematical Journal 5 Mathematica Slovaca 5 Semigroup Forum 5 Proceedings of the Steklov Institute of Mathematics 4 Bulletin of the Australian Mathematical Society 4 Advances in Mathematics 4 Mathematische Nachrichten 4 Mathematika 4 Acta Mathematica Hungarica 4 Experimental Mathematics 3 Israel Journal of Mathematics 3 Mathematics of Computation 3 Duke Mathematical Journal 3 Expositiones Mathematicae 3 Mathematical Modelling and Analysis 3 Frontiers of Mathematics in China 3 Algebra & Number Theory 2 Communications in Algebra 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Ukrainian Mathematical Journal 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Canadian Mathematical Bulletin 2 Journal of Algebra 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 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 2 Research in Number Theory 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 Applied Mathematics and Computation 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 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Probability Theory and Related Fields 1 Forum Mathematicum 1 International Journal of Mathematics 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 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 Journal of the European Mathematical Society (JEMS) 1 Integers 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 Milan Journal of Mathematics 1 European Journal of Mathematics 1 Journal of Numbers 1 Bollettino dell’Unione Matematica Italiana 1 Advanced Studies: Euro-Tbilisi Mathematical Journal all top 5 Cited in 22 Fields 280 Number theory (11-XX) 25 Functions of a complex variable (30-XX) 22 Group theory and generalizations (20-XX) 16 Commutative algebra (13-XX) 6 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 2 Combinatorics (05-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 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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