Edit Profile (opens in new tab) Perelli, Alberto Co-Author Distance Author ID: perelli.alberto Published as: Perelli, A.; Perelli, Alberto External Links: MGP · Wikidata · IdRef Documents Indexed: 135 Publications since 1980 4 Contributions as Editor Reviewing Activity: 113 Reviews Co-Authors: 32 Co-Authors with 126 Joint Publications 842 Co-Co-Authors all top 5 Co-Authors 11 single-authored 61 Kaczorowski, Jerzy 14 Zannier, Umberto M. 8 Brüdern, Jörg 8 Languasco, Alessandro 8 Pintz, Janos 7 Molteni, Giuseppe 7 Nair, Mohan 7 Zaccagnini, Alessandro 6 Salerno, Saverio 4 Balog, Antal 4 Bombieri, Enrico 3 Viola, Carlo 2 Carletti, Ettore 2 Pappalardi, Francesco 2 Puglisi, Giuseppe 2 Wooley, Trevor D. 1 Bazzanella, Danilo 1 Cafferata, Mattia 1 Codecà, Paolo 1 Cook, Roger J. 1 Diaconu, Adrian-Viorel 1 Granville, Andrew James 1 Grenié, Loïc 1 Ivić, Aleksandar 1 Monti Bragadin, Giacomo 1 Murty, Maruti Ram 1 Pomykała, Jacek M. 1 Radziejewski, Maciej 1 Schinzel, Andrzej 1 Steuding, Jörn 1 Vaughan, Robert C. 1 Wolfart, Jürgen 1 Zaharescu, Alexandru all top 5 Serials 13 Acta Arithmetica 8 Functiones et Approximatio. Commentarii Mathematici 6 Journal of Number Theory 6 Journal für die Reine und Angewandte Mathematik 4 Mathematika 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Archiv der Mathematik 3 Proceedings of the American Mathematical Society 3 Rendiconti del Seminario Matematico 3 Acta Mathematica Hungarica 3 Bollettino della Unione Matematica Italiana. Series V. A 2 Journal of Mathematical Analysis and Applications 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Bollettino della Unione Matemàtica Italiana. Serie VI. A 2 Milan Journal of Mathematics 2 Rivista di Matematica della Università di Parma. Serie 7 2 International Journal of Number Theory 2 Proceedings of the Steklov Institute of Mathematics 2 Rivista di Matematica della Università di Parma. New Series 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Compositio Mathematica 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 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 Studia Scientiarum Mathematicarum Hungarica 1 Hardy-Ramanujan Journal 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Journal of the Australian Mathematical Society. Series A 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Mathematical Research Letters 1 Izvestiya: Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 The Quarterly Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 137 Number theory (11-XX) 5 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 3 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 966 times in 522 Documents Cited by ▼ Year ▼ On the structure of the Selberg class. I: \(0\leq d\leq 1\). Zbl 1126.11335 Kaczorowski, Jerzy; Perelli, Alberto 77 1999 The Selberg class: A survey. Zbl 0929.11028 Kaczorowski, J.; Perelli, A. 64 1999 General L-functions. Zbl 0485.10030 Perelli, Alberto 57 1982 A survey of the Selberg class of \(L\)-functions. I. Zbl 1118.11037 Perelli, Alberto 57 2005 A survey of the Selberg class of \(L\)-functions. II. Zbl 1166.11345 Perelli, Alberto 42 2004 On the structure of the Selberg class. VI: Non-linear twists. Zbl 1082.11055 Kaczorowski, J.; Perelli, A. 31 2005 On the structure of the Selberg class. VII: \(1<d<2\). Zbl 1235.11085 Kaczorowski, Jerzy; Perelli, Alberto 28 2011 On the exceptional set for Goldbach’s problem in short intervals. Zbl 0806.11042 Perelli, A.; Pintz, J. 23 1993 On the prime number theorem for the Selberg class. Zbl 1126.11334 Kaczorowski, J.; Perelli, A. 18 2003 Distinct zeros of \(L\)-functions. Zbl 0891.11044 Bombieri, E.; Perelli, A. 18 1998 Non-linear twists of \(L\)-functions: a survey. Zbl 1275.11127 Perelli, A. 18 2010 Averages of twisted elliptic \(L\)-functions. Zbl 0878.11022 Perelli, A.; Pomykała, J. 17 1997 On the structure of the Selberg class. V: \(1<d<5/3\). Zbl 1034.11051 Kaczorowski, Jerzy; Perelli, Alberto 17 2002 The values of binary linear forms at prime arguments. Zbl 0924.11085 Brüdern, J.; Cook, R. J.; Perelli, A. 16 1997 The pair correlation of zeros of functions in the Selberg class. Zbl 0929.11030 Murty, M. Ram; Perelli, Alberto 16 1999 Exponential sums over primes in an arithmetic progression. Zbl 0524.10030 Balog, Antal; Perelli, Alberto 16 1985 Linear independence of \(L\)-functions. Zbl 1099.11048 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 15 2006 Linear independence in the Selberg class. Zbl 0929.11029 Kaczorowski, J.; Molteni, G.; Perelli, A. 15 1999 On Linnik’s theorem on Goldbach numbers in short intervals and related problems. Zbl 0799.11040 Languasco, A.; Perelli, A. 14 1994 Bombieri’s theorem in short intervals. Zbl 0579.10019 Perelli, A.; Pintz, J.; Salerno, S. 14 1984 Twists and resonance of \(L\)-functions. I. Zbl 1404.11107 Kaczorowski, Jerzy; Perelli, Alberto 12 2016 Twists, Euler products and a converse theorem for \(L\)-functions of degree 2. Zbl 1331.11073 Kaczorowski, Jerzy; Perelli, Alberto 11 2015 Converse theorems: from the Riemann zeta function to the Selberg class. Zbl 1407.11105 Perelli, Alberto 11 2017 Goldbach numbers represented by polynomials. Zbl 0874.11069 Perelli, Alberto 10 1996 On the structure of the Selberg class. II: Invariants and conjectures. Zbl 0982.11051 Kaczorowski, J.; Perelli, A. 10 2000 On the exponential sum over \(k\)-free numbers. Zbl 0922.11071 Brüdern, J.; Granville, A.; Perelli, A.; Vaughan, R. C.; Wooley, T. D. 10 1998 Functional independence of the singularities of a class of Dirichlet series. Zbl 0905.11036 Kaczorowski, J.; Perelli, A. 10 1998 Bombieri’s theorem in short intervals. II. Zbl 0579.10020 Perelli, A.; Pintz, J.; Salerno, S. 10 1985 On general \(L\)-functions. Zbl 0809.11046 Carletti, E.; Monti Bragadin, G.; Perelli, A. 9 1994 The exceptional set for the number of primes in short intervals. Zbl 0972.11087 Bazzanella, D.; Perelli, A. 9 2000 The exceptional set for the sum of a prime and a square. Zbl 0683.10039 Brünner, R.; Perelli, A.; Pintz, J. 9 1989 On recurrent mod \(p\) sequences. Zbl 0517.10006 Perelli, A.; Zannier, U. 9 1984 On some exponential sums connected with Ramanujan’s \(\tau\)-function. Zbl 0549.10033 Perelli, A. 8 1984 On the exceptional set for the 2\(k\)-twin primes problem. Zbl 0756.11028 Perelli, Alberto; Pintz, János 7 1992 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 Twists and resonance of \(L\)-functions. II. Zbl 1404.11108 Kaczorowski, Jerzy; Perelli, Alberto 7 2016 Explicit relations between pair correlation of zeros and primes in short intervals. Zbl 1326.11049 Languasco, Alessandro; Perelli, Alberto; Zaccagnini, Alessandro 7 2012 Primes and prime ideals in short intervals. Zbl 1404.11113 Grenié, Loïc; Molteni, Giuseppe; Perelli, Alberto 7 2017 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 pair correlation hypothesis and the exceptional set in Goldbach’s problem. Zbl 0884.11042 Languasco, A.; Perelli, A. 6 1996 Zeros and poles of Dirichlet series. Zbl 1170.11320 Bombieri, Enrico; Perelli, Alberto 6 2001 A note on \(\text{GL}_2\) converse theorems. Zbl 1002.11041 Diaconu, A.; Perelli, A.; Zaharescu, A. 6 2002 On the structure of the Selberg class. IV: Basic invariants. Zbl 0996.11053 Kaczorowski, J.; Perelli, A. 6 2002 Strong multiplicity one for the Selberg class. Zbl 0987.11056 Kaczorowski, Jerzy; Perelli, Alberto 6 2001 A weak converse theorem for degree 2 \(L\)-functions with conductor 1. Zbl 1411.11082 Kaczorowski, Jerzy; Perelli, Alberto 6 2017 Classification of \(L\)-functions of degree 2 and conductor 1. Zbl 1503.11122 Kaczorowski, Jerzy; Perelli, Alberto 6 2022 The addition of primes and power. Zbl 0860.11061 Brüdern, Jörg; Perelli, Alberto 5 1996 Unique factorization results for semigroups of \(L\)-functions. Zbl 1163.11062 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2008 An extension of the Bourgain-Sarnak-Ziegler theorem with modular applications. Zbl 1445.11099 Cafferata, Mattia; Perelli, A.; Zaccagnini, Alessandro 5 2020 Twins of \(k\)-free numbers and their exponential sum. Zbl 0987.11061 Brüdern, J.; Perelli, A.; Wooley, T. D. 5 2000 On the Montgomery-Hooley theorem in short intervals. Zbl 1238.11087 Languasco, A.; Perelli, A.; Zaccagnini, A. 5 2010 A uniform version of Stirling’s formula. Zbl 1229.33003 Kaczorowski, Jerzy; Perelli, Alberto 5 2011 Linear twists of \(L\)-functions of degree 2 from the Selberg class. Zbl 1269.11091 Kaczorowski, J.; Perelli, A. 5 2010 A note on the degree conjecture for the Selberg class. Zbl 1254.11084 Kaczorowski, Jerzy; Perelli, Alberto 5 2008 The \(L^ 1\) norm of certain exponential sums in number theory: A survey. Zbl 0877.11045 Perelli, A. 4 1995 On the sum of a prime and a \(k\)-th power. Zbl 0996.11065 Perelli, A.; Zaccagnini, A. 4 1995 A note on Hecke’s functional equation and the Selberg class. Zbl 1269.11089 Bragadin, Giacomo Monti; Carletti, Ettore; Perelli, Alberto 4 2009 A converse theorem for Dirichlet \(L\)-functions. Zbl 1242.11061 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 4 2010 Su un teorema di Polya. Zbl 0462.30018 Perelli, A.; Zannier, U. 4 1981 On the structure of the Selberg class. III: Sarnak’s rigidity conjecture. Zbl 0997.11072 Kaczorowski, J.; Perelli, A. 4 2000 On the \(L^1\) mean of the exponential sum formed with the Möbius function. Zbl 0932.11053 Balog, A.; Perelli, A. 4 1998 Factorization in the extended Selberg class. Zbl 1065.11072 Kaczorowski, Jerzy; Perelli, Alberto 4 2003 Arithmetic properties of certain recurrence sequences. Zbl 0543.10008 Perelli, A.; Zannier, U. 4 1984 An extension of the pair-correlation conjecture and applications. Zbl 1398.11120 Languasco, Alessandro; Perelli, Alberto; Zaccagnini, Alessandro 4 2016 Local problems with primes. I. Zbl 0677.10028 Perelli, Alberto 3 1989 Hardy-Littlewood numbers in short intervals. Zbl 0851.11056 Perelli, A.; Pintz, J. 3 1995 On the prime ideal theorem and irregularities in the distribution of primes. Zbl 0818.11035 Nair, M.; Perelli, A. 3 1995 A note on the exceptional set for Goldbach’s problem in short intervals. Zbl 0792.11040 Kaczorowski, J.; Perelli, A.; Pintz, J. 3 1993 A new form of the Riemann-von Mangoldt explicit formula. Zbl 0856.11040 Kaczorowski, J.; Perelli, A. 3 1996 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 Linnik–Sprindžuk theorem about the zeros of \(L\)-functions. Zbl 1228.11142 Kaczorowski, J.; Perelli, A. 3 2008 On the distribution of primes in short intervals. Zbl 0787.11038 Kaczorowski, Jerzy; Perelli, Alberto 3 1993 Exponential sums and additive problems involving square-free numbers. Zbl 1019.11028 Brüdern, Jörg; Perelli, Alberto 3 1999 Goldbach numbers in sparse sequences. Zbl 0902.11042 Brüdern, Jörg; Perelli, Alberto 3 1998 An extremal property of the Möbius function. Zbl 0683.10036 Perelli, A.; Zannier, U. 3 1989 Diophantine approximation by square-free numbers. Zbl 0565.10029 Balog, A.; Perelli, A. 3 1984 Exponential sums over primes in short intervals. Zbl 0612.10031 Balog, A.; Perelli, A. 3 1986 On the prime number theorem for the coefficients of certain modular forms. Zbl 0589.10029 Perelli, Alberto 3 1985 An extended pair-correlation conjecture and primes in short intervals. Zbl 1422.11177 Languasco, A.; Perelli, A.; Zaccagnini, A. 3 2017 The standard twist of \(L\)-functions revisited. Zbl 1492.11133 Kaczorowski, J.; Perelli, A. 3 2021 Structural invariants of \(L\)-functions and applications: a survey. Zbl 1509.11087 Kaczorowski, Jerzy; Perelli, Alberto 3 2022 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 A remark on solutions of functional equations of Riemann’s type. Zbl 1065.11071 Kaczorowski, Jerzy; Perelli, Alberto 2 2004 Real zeros of general L-functions. Zbl 0506.10034 Perelli, Alberto; Puglisi, Giuseppe 2 1981 A note on Bessel twists of \(L\)-functions. Zbl 1381.11088 Kaczorowski, J.; Perelli, A. 2 2015 Goldbach numbers and uniform distribution mod 1. Zbl 0911.11047 Brüdern, Jörg; Perelli, Alberto 2 1997 On the uniform distribution (mod 1) of the Farey fractions and \(\ell ^ p\) spaces. Zbl 0606.10041 Codecà, P.; Perelli, A. 2 1988 Sieve methods and class-number problems. I. Zbl 0588.10053 Nair, Mohan; Perelli, Alberto 2 1986 General \(\Omega\)-theorems for coefficients of \(L\)-functions. Zbl 1331.11074 Kaczorowski, Jerzy; Perelli, Alberto 2 2015 On a Hecke-type functional equation with conductor \(q=5\). Zbl 1446.11166 Kaczorowski, J.; Perelli, A. 1 2018 Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Zbl 0772.00021 1 1992 Mean values of certain zeta-functions on the critical line. Zbl 0706.11049 Ivić, A.; Perelli, A. 1 1989 On an average of primes in short intervals. Zbl 0495.10026 Perelli, A.; Salerno, S. 1 1982 An arithmetic property of polynomials. Zbl 0506.10044 Perelli, A.; Zannier, U. 1 1980 A rigidity theorem for translates of uniformly convergent Dirichlet series. Zbl 1469.11361 Perelli, A.; Righetti, M. 1 2020 On the standard twist of the \(L\)-functions of half-integral weight cusp forms. Zbl 1469.11354 Kaczorowski, Jerzy; Perelli, Alberto 1 2020 Pair correlation of zeros, primes in short intervals and exponential sums over primes. Zbl 0973.11081 Languasco, Alessandro; Perelli, Alberto 1 2000 Applications of a theorem of H. Cramér to the Selberg class. Zbl 1028.11056 Kaczorowski, J.; Perelli, A. 1 2002 Sieve methods and class-number problems. II. Zbl 0665.10029 Nair, Mohan; Perelli, Alberto 1 1988 Forbidden conductors of \(L\)-functions and continued fractions of particular form. Zbl 1535.11126 Kaczorowski, Jerzy; Perelli, Alberto; Radziejewski, Maciej 1 2023 Classification of \(L\)-functions of degree 2 and conductor 1. Zbl 1503.11122 Kaczorowski, Jerzy; Perelli, Alberto 6 2022 Structural invariants of \(L\)-functions and applications: a survey. Zbl 1509.11087 Kaczorowski, Jerzy; Perelli, Alberto 3 2022 The standard twist of \(L\)-functions revisited. Zbl 1492.11133 Kaczorowski, J.; Perelli, A. 3 2021 An extension of the Bourgain-Sarnak-Ziegler theorem with modular applications. Zbl 1445.11099 Cafferata, Mattia; Perelli, A.; Zaccagnini, Alessandro 5 2020 A rigidity theorem for translates of uniformly convergent Dirichlet series. Zbl 1469.11361 Perelli, A.; Righetti, M. 1 2020 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 Converse theorems: from the Riemann zeta function to the Selberg class. Zbl 1407.11105 Perelli, Alberto 11 2017 Primes and prime ideals in short intervals. Zbl 1404.11113 Grenié, Loïc; Molteni, Giuseppe; Perelli, Alberto 7 2017 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 6 2017 An extended pair-correlation conjecture and primes in short intervals. Zbl 1422.11177 Languasco, A.; Perelli, A.; Zaccagnini, A. 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 12 2016 Twists and resonance of \(L\)-functions. II. Zbl 1404.11108 Kaczorowski, Jerzy; Perelli, Alberto 7 2016 An extension of the pair-correlation conjecture and applications. Zbl 1398.11120 Languasco, Alessandro; Perelli, Alberto; Zaccagnini, Alessandro 4 2016 Twists, Euler products and a converse theorem for \(L\)-functions of degree 2. Zbl 1331.11073 Kaczorowski, Jerzy; Perelli, Alberto 11 2015 A note on Bessel twists of \(L\)-functions. Zbl 1381.11088 Kaczorowski, J.; Perelli, A. 2 2015 General \(\Omega\)-theorems for coefficients of \(L\)-functions. Zbl 1331.11074 Kaczorowski, Jerzy; Perelli, Alberto 2 2015 Internal twists of \(L\)-functions. Zbl 1298.11091 Kaczorowski, Jerzy; Perelli, Alberto 1 2014 Explicit relations between pair correlation of zeros and primes in short intervals. Zbl 1326.11049 Languasco, Alessandro; Perelli, Alberto; Zaccagnini, Alessandro 7 2012 Lower bounds for the conductor of \(L\)-functions. Zbl 1306.11072 Kaczorowski, J.; Perelli, A. 1 2012 On the structure of the Selberg class. VII: \(1<d<2\). Zbl 1235.11085 Kaczorowski, Jerzy; Perelli, Alberto 28 2011 A uniform version of Stirling’s formula. Zbl 1229.33003 Kaczorowski, Jerzy; Perelli, Alberto 5 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 Non-linear twists of \(L\)-functions: a survey. Zbl 1275.11127 Perelli, A. 18 2010 On the Montgomery-Hooley theorem in short intervals. Zbl 1238.11087 Languasco, A.; Perelli, A.; Zaccagnini, A. 5 2010 Linear twists of \(L\)-functions of degree 2 from the Selberg class. Zbl 1269.11091 Kaczorowski, J.; Perelli, A. 5 2010 A converse theorem for Dirichlet \(L\)-functions. Zbl 1242.11061 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 4 2010 A note on Hecke’s functional equation and the Selberg class. Zbl 1269.11089 Bragadin, Giacomo Monti; Carletti, Ettore; Perelli, Alberto 4 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 5 2008 On the Linnik–Sprindžuk theorem about the zeros of \(L\)-functions. Zbl 1228.11142 Kaczorowski, J.; Perelli, A. 3 2008 Some remarks on the unique factorization in certain semigroups of classical \(L\)-functions. Zbl 1223.11105 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 3 2007 Linear independence of \(L\)-functions. Zbl 1099.11048 Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 15 2006 Hecke’s theory and the Selberg class. Zbl 1196.11069 Kaczorowski, J.; Molteni, G.; Perelli, A.; Steuding, J.; Wolfart, J. 7 2006 A survey of the Selberg class of \(L\)-functions. I. Zbl 1118.11037 Perelli, Alberto 57 2005 On the structure of the Selberg class. VI: Non-linear twists. Zbl 1082.11055 Kaczorowski, J.; Perelli, A. 31 2005 A survey of the Selberg class of \(L\)-functions. II. Zbl 1166.11345 Perelli, Alberto 42 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. 18 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 A note on \(\text{GL}_2\) converse theorems. Zbl 1002.11041 Diaconu, A.; Perelli, A.; Zaharescu, A. 6 2002 On the structure of the Selberg class. IV: Basic invariants. Zbl 0996.11053 Kaczorowski, J.; Perelli, A. 6 2002 Applications of a theorem of H. Cramér to the Selberg class. Zbl 1028.11056 Kaczorowski, J.; Perelli, A. 1 2002 Zeros and poles of Dirichlet series. Zbl 1170.11320 Bombieri, Enrico; Perelli, Alberto 6 2001 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. 10 2000 The exceptional set for the number of primes in short intervals. Zbl 0972.11087 Bazzanella, D.; Perelli, A. 9 2000 Twins of \(k\)-free numbers and their exponential sum. Zbl 0987.11061 Brüdern, J.; Perelli, A.; Wooley, T. D. 5 2000 On the structure of the Selberg class. III: Sarnak’s rigidity conjecture. Zbl 0997.11072 Kaczorowski, J.; Perelli, A. 4 2000 Pair correlation of zeros, primes in short intervals and exponential sums over primes. Zbl 0973.11081 Languasco, Alessandro; Perelli, Alberto 1 2000 A note on Landau’s formula. Zbl 1034.11049 Kaczorowski, J.; Languasco, A.; Perelli, A. 1 2000 On the structure of the Selberg class. I: \(0\leq d\leq 1\). Zbl 1126.11335 Kaczorowski, Jerzy; Perelli, Alberto 77 1999 The Selberg class: A survey. Zbl 0929.11028 Kaczorowski, J.; Perelli, A. 64 1999 The pair correlation of zeros of functions in the Selberg class. Zbl 0929.11030 Murty, M. Ram; Perelli, Alberto 16 1999 Linear independence in the Selberg class. Zbl 0929.11029 Kaczorowski, J.; Molteni, G.; Perelli, A. 15 1999 Exponential sums and additive problems involving square-free numbers. Zbl 1019.11028 Brüdern, Jörg; Perelli, Alberto 3 1999 Distinct zeros of \(L\)-functions. Zbl 0891.11044 Bombieri, E.; Perelli, A. 18 1998 On the exponential sum over \(k\)-free numbers. Zbl 0922.11071 Brüdern, J.; Granville, A.; Perelli, A.; Vaughan, R. C.; Wooley, T. D. 10 1998 Functional independence of the singularities of a class of Dirichlet series. Zbl 0905.11036 Kaczorowski, J.; Perelli, A. 10 1998 On the \(L^1\) mean of the exponential sum formed with the Möbius function. Zbl 0932.11053 Balog, A.; Perelli, A. 4 1998 Goldbach numbers in sparse sequences. Zbl 0902.11042 Brüdern, Jörg; Perelli, Alberto 3 1998 Averages of twisted elliptic \(L\)-functions. Zbl 0878.11022 Perelli, A.; Pomykała, J. 17 1997 The values of binary linear forms at prime arguments. Zbl 0924.11085 Brüdern, J.; Cook, R. J.; Perelli, A. 16 1997 Goldbach numbers and uniform distribution mod 1. Zbl 0911.11047 Brüdern, Jörg; Perelli, Alberto 2 1997 Goldbach numbers represented by polynomials. Zbl 0874.11069 Perelli, Alberto 10 1996 A pair correlation hypothesis and the exceptional set in Goldbach’s problem. Zbl 0884.11042 Languasco, A.; Perelli, A. 6 1996 The addition of primes and power. Zbl 0860.11061 Brüdern, Jörg; Perelli, Alberto 5 1996 A new form of the Riemann-von Mangoldt explicit formula. Zbl 0856.11040 Kaczorowski, J.; Perelli, A. 3 1996 The \(L^ 1\) norm of certain exponential sums in number theory: A survey. Zbl 0877.11045 Perelli, A. 4 1995 On the sum of a prime and a \(k\)-th power. Zbl 0996.11065 Perelli, A.; Zaccagnini, A. 4 1995 Hardy-Littlewood numbers in short intervals. Zbl 0851.11056 Perelli, A.; Pintz, J. 3 1995 On the prime ideal theorem and irregularities in the distribution of primes. Zbl 0818.11035 Nair, M.; Perelli, A. 3 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 On Linnik’s theorem on Goldbach numbers in short intervals and related problems. Zbl 0799.11040 Languasco, A.; Perelli, A. 14 1994 On general \(L\)-functions. Zbl 0809.11046 Carletti, E.; Monti Bragadin, G.; Perelli, A. 9 1994 On the exceptional set for Goldbach’s problem in short intervals. Zbl 0806.11042 Perelli, A.; Pintz, J. 23 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 distribution of primes in short intervals. Zbl 0787.11038 Kaczorowski, Jerzy; Perelli, Alberto 3 1993 On the exceptional set for the 2\(k\)-twin primes problem. Zbl 0756.11028 Perelli, Alberto; Pintz, János 7 1992 Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Zbl 0772.00021 1 1992 The exceptional set for the sum of a prime and a square. Zbl 0683.10039 Brünner, R.; Perelli, A.; Pintz, J. 9 1989 Local problems with primes. I. Zbl 0677.10028 Perelli, Alberto 3 1989 An extremal property of the Möbius function. Zbl 0683.10036 Perelli, A.; Zannier, U. 3 1989 Mean values of certain zeta-functions on the critical line. Zbl 0706.11049 Ivić, A.; Perelli, A. 1 1989 On the uniform distribution (mod 1) of the Farey fractions and \(\ell ^ p\) spaces. Zbl 0606.10041 Codecà, P.; Perelli, A. 2 1988 Sieve methods and class-number problems. II. Zbl 0665.10029 Nair, Mohan; Perelli, Alberto 1 1988 An \(\Omega\) result in uniform distribution theory. Zbl 0617.10035 Perelli, A.; Zannier, U. 1 1987 Exponential sums over primes in short intervals. Zbl 0612.10031 Balog, A.; Perelli, A. 3 1986 Sieve methods and class-number problems. I. Zbl 0588.10053 Nair, Mohan; Perelli, Alberto 2 1986 Exponential sums over primes in an arithmetic progression. Zbl 0524.10030 Balog, Antal; Perelli, Alberto 16 1985 Bombieri’s theorem in short intervals. II. Zbl 0579.10020 Perelli, A.; Pintz, J.; Salerno, S. 10 1985 On the prime number theorem for the coefficients of certain modular forms. Zbl 0589.10029 Perelli, Alberto 3 1985 On some classical explicit formulae. Zbl 0568.10020 Perelli, A.; Puglisi, G. 1 1985 On 2k-dimensional density estimates. Zbl 0524.10033 Perelli, A.; Salerno, S. 1 1985 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 439 Authors 43 Perelli, Alberto 36 Kaczorowski, Jerzy 20 Hua, Guodong 17 Languasco, Alessandro 17 Zaccagnini, Alessandro 12 Steuding, Jörn 11 Lu, Guangshi 10 Mazhouda, Kamel 9 Bazzanella, Danilo 9 Molteni, Giuseppe 8 Lao, Huixue 8 Li, Xiaomin 8 Smajlović, Lejla 8 Zannier, Umberto M. 7 Li, Baoqin 7 Liu, Huafeng 7 Odžak, Almasa 7 Sankaranarayanan, Ayyadurai 7 Yi, Hongxun 7 Zaharescu, Alexandru 6 Booker, Andrew R. 6 Radziejewski, Maciej 6 Wang, Yuchao 6 Wong, Peng-Jie 5 Brüdern, Jörg 5 Cantarini, Marco 5 Gambini, Alessandro 5 Jiang, Yujiao 5 Lu, Feng 5 Matomäki, Kaisa 5 Murty, Maruti Ram 5 Pankowski, Łukasz 5 Suriajaya, Ade Irma 5 Ye, Yangbo 4 Alkan, Emre 4 Byeon, Dongho 4 Dufner, Gunter 4 Ernvall-Hytönen, Anne-Maria 4 Garunkštis, Ramūnas 4 Hou, Fei 4 Macaitienė, Renata 4 Oliver, Thomas 4 Omar, Sami 4 Pintz, Janos 4 Radziwiłł, Maksym 4 Ramaré, Olivier 4 Wolke, Dieter 4 Yao, Weili 3 Bell, Jason P. 3 Chen, Bin 3 Chen, Junfan 3 Conrey, John Brian 3 Coppola, Giovanni 3 Dudek, Adrian W. 3 Farmer, Michael 3 Fiorilli, Daniel 3 Fomenko, Oleg Mstislavovich 3 Ge, Wenxu 3 Grenié, Loïc 3 Gun, Sanoli 3 He, Xiaoguang 3 Huang, Jing 3 Ivić, Aleksandar 3 Keating, Jonathan Peter 3 Ki, Haseo 3 Lester, Stephen J. 3 Lu, Weiran 3 Matiyasevich, Yuriĭ Vladimirovich 3 Nguyen, Khoa Dang 3 Noda, Takumi 3 Righetti, Mattia 3 Soundararajan, Kannan 3 Sourmelidis, Athanasios 3 Srinivas, Kotyada 3 Sun, Haiwei 3 Suzuki, Yuta 3 Vatwani, Akshaa 3 Wang, Dan 3 Wang, Tianze 3 Wang, Zhiwei 3 Zhang, Wei 2 Akbal, Yıldırım 2 Akbary, Amir 2 Bauer, Claus 2 Bettin, Sandro 2 Bllaca, Kajtaz H. 2 Bourgain, Jean 2 Bucur, Alina 2 Chaudhary, M. P. 2 Cimpoeaş, Mircea 2 Corvaja, Pietro 2 de la Bretèche, Régis 2 de Roton, Anne 2 Farmer, David W. 2 Feng, Jinzhi 2 Ford, Kevin B. 2 Frantzikinakis, Nikos 2 Goldston, Daniel Alan 2 Göral, Haydar 2 Hà Huy Khóai ...and 339 more Authors all top 5 Cited in 126 Serials 51 Journal of Number Theory 29 International Journal of Number Theory 27 The Ramanujan Journal 23 Functiones et Approximatio. Commentarii Mathematici 21 Acta Arithmetica 16 Mathematika 14 Monatshefte für Mathematik 12 Mathematische Zeitschrift 12 Journal de Théorie des Nombres de Bordeaux 10 Acta Mathematica Hungarica 9 Journal of Mathematical Analysis and Applications 9 Mathematische Annalen 9 Proceedings of the American Mathematical Society 9 Transactions of the American Mathematical Society 9 Integers 8 Lithuanian Mathematical Journal 8 Frontiers of Mathematics in China 7 Advances in Mathematics 6 Periodica Mathematica Hungarica 6 Rocky Mountain Journal of Mathematics 6 Archiv der Mathematik 6 Duke Mathematical Journal 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Proceedings of the Steklov Institute of Mathematics 6 Research in Number Theory 5 Compositio Mathematica 5 Mathematische Nachrichten 5 Open Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Inventiones Mathematicae 4 Journal of the Ramanujan Mathematical Society 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Science China. Mathematics 3 Bulletin of the Australian Mathematical Society 3 Israel Journal of Mathematics 3 Colloquium Mathematicum 3 Mathematica Slovaca 3 Proceedings of the London Mathematical Society. Third Series 3 Forum Mathematicum 3 Expositiones Mathematicae 3 Acta Mathematica Sinica. New Series 3 Indagationes Mathematicae. New Series 3 Annals of Mathematics. Second Series 3 Algebra & Number Theory 3 Forum of Mathematics, Sigma 2 Indian Journal of Pure & Applied Mathematics 2 Journal d’Analyse Mathématique 2 Mathematical Notes 2 Annales de l’Institut Fourier 2 Annales Polonici Mathematici 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Czechoslovak Mathematical Journal 2 Journal of Functional Analysis 2 Journal of Soviet Mathematics 2 Manuscripta Mathematica 2 Nagoya Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Semigroup Forum 2 Linear Algebra and its Applications 2 The Journal of Analysis 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Journal of the European Mathematical Society (JEMS) 2 Acta Mathematica Sinica. English Series 2 Journal of the Australian Mathematical Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Computational Methods and Function Theory 2 Chebyshevskiĭ Sbornik 2 Journal of Mathematics 2 Research in the Mathematical Sciences 2 European Journal of Mathematics 1 Archive for History of Exact Sciences 1 Houston Journal of Mathematics 1 Mathematische Semesterberichte 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Kyungpook Mathematical Journal 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Tsukuba Journal of Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 Science in China. Series A 1 International Journal of Mathematics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences ...and 26 more Serials all top 5 Cited in 25 Fields 504 Number theory (11-XX) 42 Functions of a complex variable (30-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Algebraic geometry (14-XX) 7 Special functions (33-XX) 6 Combinatorics (05-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Ordinary differential equations (34-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 3 Commutative algebra (13-XX) 2 Sequences, series, summability (40-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-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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