Edit Profile (opens in new tab) Perelli, Alberto Co-Author Distance Author ID: perelli.alberto Published as: Perelli, A.; Perelli, Alberto External Links: MGP Documents Indexed: 130 Publications since 1980 4 Contributions as Editor Reviewing Activity: 112 Reviews Co-Authors: 29 Co-Authors with 120 Joint Publications 755 Co-Co-Authors all top 5 Co-Authors 11 single-authored 56 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 Cherubini, Giacomo 1 Codecà, Paolo 1 Diaconu, Adrian-Viorel 1 Granville, Andrew James 1 Grenié, Loïc 1 Ivić, Aleksandar 1 Monti Bragadin, Giacomo 1 Murty, Maruti Ram 1 Schinzel, Andrzej 1 Steuding, Jörn 1 Vaughan, Robert C. 1 Wolfart, Jürgen 1 Zaharescu, Alexandru all top 5 Serials 11 Acta Arithmetica 7 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 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 International Journal of Number Theory 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 132 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 108 Publications have been cited 819 times in 433 Documents Cited by ▼ Year ▼ On the structure of the Selberg class. I: \(0\leq d\leq 1\). Zbl 1126.11335Kaczorowski, Jerzy; Perelli, Alberto 65 1999 The Selberg class: A survey. Zbl 0929.11028Kaczorowski, J.; Perelli, A. 57 1999 A survey of the Selberg class of \(L\)-functions. I. Zbl 1118.11037Perelli, Alberto 49 2005 A survey of the Selberg class of \(L\)-functions. II. Zbl 1166.11345Perelli, Alberto 38 2004 General L-functions. Zbl 0485.10030Perelli, Alberto 28 1982 On the structure of the Selberg class. VI: Non-linear twists. Zbl 1082.11055Kaczorowski, J.; Perelli, A. 25 2005 On the structure of the Selberg class. VII: \(1<d<2\). Zbl 1235.11085Kaczorowski, Jerzy; Perelli, Alberto 24 2011 On the exceptional set for Goldbach’s problem in short intervals. Zbl 0806.11042Perelli, A.; Pintz, J. 21 1993 On the prime number theorem for the Selberg class. Zbl 1126.11334Kaczorowski, J.; Perelli, A. 17 2003 On the structure of the Selberg class. V: \(1<d<5/3\). Zbl 1034.11051Kaczorowski, Jerzy; Perelli, Alberto 17 2002 Non-linear twists of \(L\)-functions: a survey. Zbl 1275.11127Perelli, A. 16 2010 Distinct zeros of \(L\)-functions. Zbl 0891.11044Bombieri, E.; Perelli, A. 16 1998 The pair correlation of zeros of functions in the Selberg class. Zbl 0929.11030Murty, M. Ram; Perelli, Alberto 16 1999 The values of binary linear forms at prime arguments. Zbl 0924.11085Brüdern, J.; Cook, R. J.; Perelli, A. 15 1997 Averages of twisted elliptic \(L\)-functions. Zbl 0878.11022Perelli, A.; Pomykała, J. 15 1997 Exponential sums over primes in an arithmetic progression. Zbl 0524.10030Balog, Antal; Perelli, Alberto 14 1985 On Linnik’s theorem on Goldbach numbers in short intervals and related problems. Zbl 0799.11040Languasco, A.; Perelli, A. 13 1994 Linear independence in the Selberg class. Zbl 0929.11029Kaczorowski, J.; Molteni, G.; Perelli, A. 13 1999 Linear independence of \(L\)-functions. Zbl 1099.11048Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 13 2006 Bombieri’s theorem in short intervals. Zbl 0579.10019Perelli, A.; Pintz, J.; Salerno, S. 12 1984 Twists, Euler products and a converse theorem for \(L\)-functions of degree 2. Zbl 1331.11073Kaczorowski, Jerzy; Perelli, Alberto 10 2015 Goldbach numbers represented by polynomials. Zbl 0874.11069Perelli, Alberto 9 1996 The exceptional set for the sum of a prime and a square. Zbl 0683.10039Brünner, R.; Perelli, A.; Pintz, J. 9 1989 The exceptional set for the number of primes in short intervals. Zbl 0972.11087Bazzanella, D.; Perelli, A. 9 2000 On the structure of the Selberg class. II: Invariants and conjectures. Zbl 0982.11051Kaczorowski, J.; Perelli, A. 9 2000 Bombieri’s theorem in short intervals. II. Zbl 0579.10020Perelli, A.; Pintz, J.; Salerno, S. 9 1985 Functional independence of the singularities of a class of Dirichlet series. Zbl 0905.11036Kaczorowski, J.; Perelli, A. 9 1998 Twists and resonance of \(L\)-functions. I. Zbl 1404.11107Kaczorowski, Jerzy; Perelli, Alberto 9 2016 On general \(L\)-functions. Zbl 0809.11046Carletti, E.; Monti Bragadin, G.; Perelli, A. 8 1994 On recurrent mod \(p\) sequences. Zbl 0517.10006Perelli, A.; Zannier, U. 8 1984 On some exponential sums connected with Ramanujan’s \(\tau\)-function. Zbl 0549.10033Perelli, A. 8 1984 On the exponential sum over \(k\)-free numbers. Zbl 0922.11071Brüdern, J.; Granville, A.; Perelli, A.; Vaughan, R. C.; Wooley, T. D. 8 1998 Converse theorems: from the Riemann zeta function to the Selberg class. Zbl 1407.11105Perelli, Alberto 8 2017 Explicit relations between pair correlation of zeros and primes in short intervals. Zbl 1326.11049Languasco, Alessandro; Perelli, Alberto; Zaccagnini, Alessandro 7 2012 Hecke’s theory and the Selberg class. Zbl 1196.11069Kaczorowski, J.; Molteni, G.; Perelli, A.; Steuding, J.; Wolfart, J. 7 2006 Primes and prime ideals in short intervals. Zbl 1404.11113Grenié, Loïc; Molteni, Giuseppe; Perelli, Alberto 7 2017 Explicit formulae for averages of Goldbach representations. Zbl 1470.11251Brüdern, Jörg; Kaczorowski, Jerzy; Perelli, Alberto 7 2019 Some remarks on the convergence of the Dirichlet series of \(L\)-functions and related questions. Zbl 1381.11089Kaczorowski, Jerzy; Perelli, Alberto 7 2017 On the exceptional set for the 2\(k\)-twin primes problem. Zbl 0756.11028Perelli, Alberto; Pintz, János 6 1992 Linear twists of \(L\)-functions of degree 2 from the Selberg class. Zbl 1269.11091Kaczorowski, J.; Perelli, A. 6 2010 A pair correlation hypothesis and the exceptional set in Goldbach’s problem. Zbl 0884.11042Languasco, A.; Perelli, A. 6 1996 Strong multiplicity one for the Selberg class. Zbl 0987.11056Kaczorowski, Jerzy; Perelli, Alberto 6 2001 A note on \(\text{GL}_2\) converse theorems. Zbl 1002.11041Diaconu, A.; Perelli, A.; Zaharescu, A. 6 2002 On the Montgomery-Hooley theorem in short intervals. Zbl 1238.11087Languasco, A.; Perelli, A.; Zaccagnini, A. 5 2010 A converse theorem for Dirichlet \(L\)-functions. Zbl 1242.11061Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2010 Unique factorization results for semigroups of \(L\)-functions. Zbl 1163.11062Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2008 Twins of \(k\)-free numbers and their exponential sum. Zbl 0987.11061Brüdern, J.; Perelli, A.; Wooley, T. D. 5 2000 A note on Hecke’s functional equation and the Selberg class. Zbl 1269.11089Bragadin, Giacomo Monti; Carletti, Ettore; Perelli, Alberto 4 2009 On the sum of a prime and a \(k\)-th power. Zbl 0996.11065Perelli, A.; Zaccagnini, A. 4 1995 The addition of primes and power. Zbl 0860.11061Brüdern, Jörg; Perelli, Alberto 4 1996 Factorization in the extended Selberg class. Zbl 1065.11072Kaczorowski, Jerzy; Perelli, Alberto 4 2003 A uniform version of Stirling’s formula. Zbl 1229.33003Kaczorowski, Jerzy; Perelli, Alberto 4 2011 On the structure of the Selberg class. IV: Basic invariants. Zbl 0996.11053Kaczorowski, J.; Perelli, A. 4 2002 Arithmetic properties of certain recurrence sequences. Zbl 0543.10008Perelli, A.; Zannier, U. 4 1984 Su un teorema di Polya. Zbl 0462.30018Perelli, A.; Zannier, U. 4 1981 On the \(L^1\) mean of the exponential sum formed with the Möbius function. Zbl 0932.11053Balog, A.; Perelli, A. 4 1998 An extension of the Bourgain-Sarnak-Ziegler theorem with modular applications. Zbl 1445.11099Cafferata, Mattia; Perelli, A.; Zaccagnini, Alessandro 4 2020 Twists and resonance of \(L\)-functions. II. Zbl 1404.11108Kaczorowski, Jerzy; Perelli, Alberto 4 2016 A note on the exceptional set for Goldbach’s problem in short intervals. Zbl 0792.11040Kaczorowski, J.; Perelli, A.; Pintz, J. 3 1993 On the prime ideal theorem and irregularities in the distribution of primes. Zbl 0818.11035Nair, M.; Perelli, A. 3 1995 Some remarks on the unique factorization in certain semigroups of classical \(L\)-functions. Zbl 1223.11105Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 3 2007 A new form of the Riemann-von Mangoldt explicit formula. Zbl 0856.11040Kaczorowski, J.; Perelli, A. 3 1996 Zeros and poles of Dirichlet series. Zbl 1170.11320Bombieri, Enrico; Perelli, Alberto 3 2001 An extremal property of the Möbius function. Zbl 0683.10036Perelli, A.; Zannier, U. 3 1989 A note on the degree conjecture for the Selberg class. Zbl 1254.11084Kaczorowski, Jerzy; Perelli, Alberto 3 2008 On the structure of the Selberg class. III: Sarnak’s rigidity conjecture. Zbl 0997.11072Kaczorowski, J.; Perelli, A. 3 2000 The \(L^ 1\) norm of certain exponential sums in number theory: A survey. Zbl 0877.11045Perelli, A. 3 1995 Local problems with primes. I. Zbl 0677.10028Perelli, Alberto 3 1989 An extension of the pair-correlation conjecture and applications. Zbl 1398.11120Languasco, Alessandro; Perelli, Alberto; Zaccagnini, Alessandro 3 2016 Exponential sums over primes in short intervals. Zbl 0612.10031Balog, A.; Perelli, A. 3 1986 Hardy-Littlewood numbers in short intervals. Zbl 0851.11056Perelli, A.; Pintz, J. 3 1995 Diophantine approximation by square-free numbers. Zbl 0565.10029Balog, A.; Perelli, A. 3 1984 Goldbach numbers in sparse sequences. Zbl 0902.11042Brüdern, Jörg; Perelli, Alberto 3 1998 On the distribution of primes in short intervals. Zbl 0787.11038Kaczorowski, Jerzy; Perelli, Alberto 3 1993 Classification of \(L\)-functions of degree 2 and conductor 1. Zbl 1503.11122Kaczorowski, Jerzy; Perelli, Alberto 3 2022 A weak converse theorem for degree 2 \(L\)-functions with conductor 1. Zbl 1411.11082Kaczorowski, Jerzy; Perelli, Alberto 3 2017 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 A remark on solutions of functional equations of Riemann’s type. Zbl 1065.11071Kaczorowski, Jerzy; Perelli, Alberto 2 2004 General \(\Omega\)-theorems for coefficients of \(L\)-functions. Zbl 1331.11074Kaczorowski, Jerzy; Perelli, Alberto 2 2015 Real zeros of general L-functions. Zbl 0506.10034Perelli, Alberto; Puglisi, Giuseppe 2 1981 Sieve methods and class-number problems. I. Zbl 0588.10053Nair, Mohan; Perelli, Alberto 2 1986 On the uniform distribution (mod 1) of the Farey fractions and \(\ell ^ p\) spaces. Zbl 0606.10041Codecà, P.; Perelli, A. 2 1988 Goldbach numbers and uniform distribution mod 1. Zbl 0911.11047Brüdern, Jörg; Perelli, Alberto 2 1997 An extended pair-correlation conjecture and primes in short intervals. Zbl 1422.11177Languasco, A.; Perelli, A.; Zaccagnini, A. 2 2017 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 Mean values of certain zeta-functions on the critical line. Zbl 0706.11049Ivić, A.; Perelli, A. 1 1989 On the Linnik–Sprindžuk theorem about the zeros of \(L\)-functions. Zbl 1228.11142Kaczorowski, J.; Perelli, A. 1 2008 Sieve methods and class-number problems. II. Zbl 0665.10029Nair, Mohan; Perelli, Alberto 1 1988 A note on Bessel twists of \(L\)-functions. Zbl 1381.11088Kaczorowski, J.; Perelli, A. 1 2015 Pair correlation of zeros, primes in short intervals and exponential sums over primes. Zbl 0973.11081Languasco, Alessandro; Perelli, Alberto 1 2000 On the prime number theorem for the coefficients of certain modular forms. Zbl 0589.10029Perelli, Alberto 1 1985 An \(\Omega\) result in uniform distribution theory. Zbl 0617.10035Perelli, A.; Zannier, U. 1 1987 Internal twists of \(L\)-functions. Zbl 1298.11091Kaczorowski, Jerzy; Perelli, Alberto 1 2014 On some classical explicit formulae. Zbl 0568.10020Perelli, A.; Puglisi, G. 1 1985 On the parity of \([n\sqrt 2]\). Zbl 0518.10006Perelli, A.; Zannier, U. 1 1983 On sums of distinct integers belonging to certain sequences. Zbl 0519.10050Perelli, A.; Zannier, U. 1 1983 On 2k-dimensional density estimates. Zbl 0524.10033Perelli, A.; Salerno, S. 1 1985 Exponential sums and additive problems involving square-free numbers. Zbl 1019.11028Brüdern, Jörg; Perelli, Alberto 1 1999 Applications of a theorem of H. Cramér to the Selberg class. Zbl 1028.11056Kaczorowski, J.; Perelli, A. 1 2002 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 1509.11087Kaczorowski, Jerzy; Perelli, Alberto 1 2022 The standard twist of \(L\)-functions revisited. Zbl 1492.11133Kaczorowski, J.; Perelli, A. 1 2021 An extension of the Bourgain-Sarnak-Ziegler theorem with modular applications. Zbl 1445.11099Cafferata, Mattia; Perelli, A.; Zaccagnini, Alessandro 4 2020 A rigidity theorem for translates of uniformly convergent Dirichlet series. Zbl 1469.11361Perelli, A.; Righetti, M. 1 2020 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 7 2019 On a Hecke-type functional equation with conductor \(q=5\). Zbl 1446.11166Kaczorowski, J.; Perelli, A. 1 2018 Converse theorems: from the Riemann zeta function to the Selberg class. Zbl 1407.11105Perelli, Alberto 8 2017 Primes and prime ideals in short intervals. Zbl 1404.11113Grenié, Loïc; Molteni, Giuseppe; Perelli, Alberto 7 2017 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 An extended pair-correlation conjecture and primes in short intervals. Zbl 1422.11177Languasco, A.; Perelli, A.; Zaccagnini, A. 2 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 9 2016 Twists and resonance of \(L\)-functions. II. Zbl 1404.11108Kaczorowski, Jerzy; Perelli, Alberto 4 2016 An extension of the pair-correlation conjecture and applications. Zbl 1398.11120Languasco, Alessandro; Perelli, Alberto; Zaccagnini, Alessandro 3 2016 Twists, Euler products and a converse theorem for \(L\)-functions of degree 2. Zbl 1331.11073Kaczorowski, Jerzy; Perelli, Alberto 10 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 Internal twists of \(L\)-functions. Zbl 1298.11091Kaczorowski, Jerzy; Perelli, Alberto 1 2014 Explicit relations between pair correlation of zeros and primes in short intervals. Zbl 1326.11049Languasco, Alessandro; Perelli, Alberto; Zaccagnini, Alessandro 7 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 Non-linear twists of \(L\)-functions: a survey. Zbl 1275.11127Perelli, A. 16 2010 Linear twists of \(L\)-functions of degree 2 from the Selberg class. Zbl 1269.11091Kaczorowski, J.; Perelli, A. 6 2010 On the Montgomery-Hooley theorem in short intervals. Zbl 1238.11087Languasco, A.; Perelli, A.; Zaccagnini, A. 5 2010 A converse theorem for Dirichlet \(L\)-functions. Zbl 1242.11061Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2010 A note on Hecke’s functional equation and the Selberg class. Zbl 1269.11089Bragadin, Giacomo Monti; Carletti, Ettore; Perelli, Alberto 4 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 Some remarks on the unique factorization in certain semigroups of classical \(L\)-functions. Zbl 1223.11105Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 3 2007 Linear independence of \(L\)-functions. Zbl 1099.11048Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 13 2006 Hecke’s theory and the Selberg class. Zbl 1196.11069Kaczorowski, J.; Molteni, G.; Perelli, A.; Steuding, J.; Wolfart, J. 7 2006 A survey of the Selberg class of \(L\)-functions. I. Zbl 1118.11037Perelli, Alberto 49 2005 On the structure of the Selberg class. VI: Non-linear twists. Zbl 1082.11055Kaczorowski, J.; Perelli, A. 25 2005 A survey of the Selberg class of \(L\)-functions. II. Zbl 1166.11345Perelli, Alberto 38 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. 17 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 A note on \(\text{GL}_2\) converse theorems. Zbl 1002.11041Diaconu, A.; Perelli, A.; Zaharescu, A. 6 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 6 2001 Zeros and poles of Dirichlet series. Zbl 1170.11320Bombieri, Enrico; Perelli, Alberto 3 2001 The exceptional set for the number of primes in short intervals. Zbl 0972.11087Bazzanella, D.; Perelli, A. 9 2000 On the structure of the Selberg class. II: Invariants and conjectures. Zbl 0982.11051Kaczorowski, J.; Perelli, A. 9 2000 Twins of \(k\)-free numbers and their exponential sum. Zbl 0987.11061Brüdern, J.; Perelli, A.; Wooley, T. D. 5 2000 On the structure of the Selberg class. III: Sarnak’s rigidity conjecture. Zbl 0997.11072Kaczorowski, J.; Perelli, A. 3 2000 Pair correlation of zeros, primes in short intervals and exponential sums over primes. Zbl 0973.11081Languasco, Alessandro; Perelli, Alberto 1 2000 On the structure of the Selberg class. I: \(0\leq d\leq 1\). Zbl 1126.11335Kaczorowski, Jerzy; Perelli, Alberto 65 1999 The Selberg class: A survey. Zbl 0929.11028Kaczorowski, J.; Perelli, A. 57 1999 The pair correlation of zeros of functions in the Selberg class. Zbl 0929.11030Murty, M. Ram; Perelli, Alberto 16 1999 Linear independence in the Selberg class. Zbl 0929.11029Kaczorowski, J.; Molteni, G.; Perelli, A. 13 1999 Exponential sums and additive problems involving square-free numbers. Zbl 1019.11028Brüdern, Jörg; Perelli, Alberto 1 1999 Distinct zeros of \(L\)-functions. Zbl 0891.11044Bombieri, E.; Perelli, A. 16 1998 Functional independence of the singularities of a class of Dirichlet series. Zbl 0905.11036Kaczorowski, J.; Perelli, A. 9 1998 On the exponential sum over \(k\)-free numbers. Zbl 0922.11071Brüdern, J.; Granville, A.; Perelli, A.; Vaughan, R. C.; Wooley, T. D. 8 1998 On the \(L^1\) mean of the exponential sum formed with the Möbius function. Zbl 0932.11053Balog, A.; Perelli, A. 4 1998 Goldbach numbers in sparse sequences. Zbl 0902.11042Brüdern, Jörg; Perelli, Alberto 3 1998 The values of binary linear forms at prime arguments. Zbl 0924.11085Brüdern, J.; Cook, R. J.; Perelli, A. 15 1997 Averages of twisted elliptic \(L\)-functions. Zbl 0878.11022Perelli, A.; Pomykała, J. 15 1997 Goldbach numbers and uniform distribution mod 1. Zbl 0911.11047Brüdern, Jörg; Perelli, Alberto 2 1997 Goldbach numbers represented by polynomials. Zbl 0874.11069Perelli, Alberto 9 1996 A pair correlation hypothesis and the exceptional set in Goldbach’s problem. Zbl 0884.11042Languasco, A.; Perelli, A. 6 1996 The addition of primes and power. Zbl 0860.11061Brüdern, Jörg; Perelli, Alberto 4 1996 A new form of the Riemann-von Mangoldt explicit formula. Zbl 0856.11040Kaczorowski, J.; Perelli, A. 3 1996 On the sum of a prime and a \(k\)-th power. Zbl 0996.11065Perelli, A.; Zaccagnini, A. 4 1995 On the prime ideal theorem and irregularities in the distribution of primes. Zbl 0818.11035Nair, M.; Perelli, A. 3 1995 The \(L^ 1\) norm of certain exponential sums in number theory: A survey. Zbl 0877.11045Perelli, A. 3 1995 Hardy-Littlewood numbers in short intervals. Zbl 0851.11056Perelli, A.; Pintz, J. 3 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 Linnik’s theorem on Goldbach numbers in short intervals and related problems. Zbl 0799.11040Languasco, A.; Perelli, A. 13 1994 On general \(L\)-functions. Zbl 0809.11046Carletti, E.; Monti Bragadin, G.; Perelli, A. 8 1994 On the exceptional set for Goldbach’s problem in short intervals. Zbl 0806.11042Perelli, A.; Pintz, J. 21 1993 A note on the exceptional set for Goldbach’s problem in short intervals. Zbl 0792.11040Kaczorowski, J.; Perelli, A.; Pintz, J. 3 1993 On the distribution of primes in short intervals. Zbl 0787.11038Kaczorowski, Jerzy; Perelli, Alberto 3 1993 On the exceptional set for the 2\(k\)-twin primes problem. Zbl 0756.11028Perelli, Alberto; Pintz, János 6 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 0683.10039Brünner, R.; Perelli, A.; Pintz, J. 9 1989 An extremal property of the Möbius function. Zbl 0683.10036Perelli, A.; Zannier, U. 3 1989 Local problems with primes. I. Zbl 0677.10028Perelli, Alberto 3 1989 Mean values of certain zeta-functions on the critical line. Zbl 0706.11049Ivić, A.; Perelli, A. 1 1989 On the uniform distribution (mod 1) of the Farey fractions and \(\ell ^ p\) spaces. Zbl 0606.10041Codecà, P.; Perelli, A. 2 1988 Sieve methods and class-number problems. II. Zbl 0665.10029Nair, Mohan; Perelli, Alberto 1 1988 An \(\Omega\) result in uniform distribution theory. Zbl 0617.10035Perelli, A.; Zannier, U. 1 1987 Exponential sums over primes in short intervals. Zbl 0612.10031Balog, A.; Perelli, A. 3 1986 Sieve methods and class-number problems. I. Zbl 0588.10053Nair, Mohan; Perelli, Alberto 2 1986 Exponential sums over primes in an arithmetic progression. Zbl 0524.10030Balog, Antal; Perelli, Alberto 14 1985 Bombieri’s theorem in short intervals. II. Zbl 0579.10020Perelli, A.; Pintz, J.; Salerno, S. 9 1985 On the prime number theorem for the coefficients of certain modular forms. Zbl 0589.10029Perelli, Alberto 1 1985 On some classical explicit formulae. Zbl 0568.10020Perelli, A.; Puglisi, G. 1 1985 On 2k-dimensional density estimates. Zbl 0524.10033Perelli, A.; Salerno, S. 1 1985 Bombieri’s theorem in short intervals. Zbl 0579.10019Perelli, A.; Pintz, J.; Salerno, S. 12 1984 On recurrent mod \(p\) sequences. Zbl 0517.10006Perelli, A.; Zannier, U. 8 1984 On some exponential sums connected with Ramanujan’s \(\tau\)-function. Zbl 0549.10033Perelli, A. 8 1984 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 384 Authors 38 Perelli, Alberto 31 Kaczorowski, Jerzy 17 Languasco, Alessandro 17 Zaccagnini, Alessandro 11 Lu, Guangshi 11 Molteni, Giuseppe 11 Steuding, Jörn 9 Bazzanella, Danilo 7 Mazhouda, Kamel 7 Smajlović, Lejla 7 Zannier, Umberto M. 6 Booker, Andrew R. 6 Li, Baoqin 6 Odžak, Almasa 6 Zaharescu, Alexandru 5 Cantarini, Marco 5 Gambini, Alessandro 5 Hua, Guodong 5 Jiang, Yujiao 5 Lao, Huixue 5 Pankowski, Łukasz 5 Sankaranarayanan, Ayyadurai 5 Wang, Yuchao 5 Ye, Yangbo 4 Alkan, Emre 4 Brüdern, Jörg 4 Dufner, Gunter 4 Garunkštis, Ramūnas 4 Hou, Fei 4 Li, Xiaomin 4 Macaitienė, Renata 4 Murty, Maruti Ram 4 Oliver, Thomas 4 Omar, Sami 4 Pintz, Janos 4 Radziejewski, Maciej 4 Ramaré, Olivier 4 Suriajaya, Ade Irma 4 Wolke, Dieter 4 Wong, Peng-Jie 3 Byeon, Dongho 3 Chen, Junfan 3 Conrey, John Brian 3 Coppola, Giovanni 3 Dixit, Anup B. 3 Ernvall-Hytönen, Anne-Maria 3 Farmer, Michael 3 Fomenko, Oleg Mstislavovich 3 Ge, Wenxu 3 Grenié, Loïc 3 He, Xiaoguang 3 Huang, Jing 3 Ivić, Aleksandar 3 Keating, Jonathan Peter 3 Ki, Haseo 3 Lester, Stephen J. 3 Liu, Huafeng 3 Lu, Feng 3 Matiyasevich, Yuriĭ Vladimirovich 3 Matomäki, Kaisa Sofia 3 Righetti, Mattia 3 Sourmelidis, Athanasios 3 Srinivas, Kotyada 3 Sun, Haiwei 3 Suzuki, Yuta 3 Wang, Dan 3 Wang, Tianze 3 Wang, Zhiwei 3 Yi, Hongxun 2 Bauer, Claus 2 Bell, Jason P. 2 Bettin, Sandro 2 Bourgain, Jean 2 Bucur, Alina 2 Cimpoeaş, Mircea 2 Corvaja, Pietro 2 de la Bretèche, Régis 2 de Roton, Anne 2 Dudek, Adrian W. 2 Farmer, David W. 2 Fiorilli, Daniel 2 Ford, Kevin B. 2 Frantzikinakis, Nikos 2 Göral, Haydar 2 Gun, Sanoli 2 Hao, Wenjie 2 Harman, Glyn 2 Hilberdink, Titus W. 2 Jiménez-Urroz, Jorge 2 Kawada, Koichi 2 Laporta, Maurizio B. S. 2 Laurinčikas, Antanas 2 Ledoan, Andrew H. 2 Lee, Min 2 Liu, Jianya 2 Liu, Ming-Chit 2 Mahatab, Kamalakshya 2 Meng, Zaizhao 2 Miller, Steven J. 2 Mine, Masahiro ...and 284 more Authors all top 5 Cited in 110 Serials 49 Journal of Number Theory 23 International Journal of Number Theory 19 Functiones et Approximatio. 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Académie des Sciences, Paris ...and 10 more Serials all top 5 Cited in 23 Fields 420 Number theory (11-XX) 31 Functions of a complex variable (30-XX) 7 Special functions (33-XX) 6 Algebraic geometry (14-XX) 5 Combinatorics (05-XX) 5 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Group theory and generalizations (20-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 2 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 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Citations by Year