Edit Profile (opens in new tab) Perelli, Alberto Compute Distance To: Compute Author ID: perelli.alberto Published as: Perelli, A.; Perelli, Alberto External Links: MGP Documents Indexed: 127 Publications since 1980 4 Contributions as Editor Reviewing Activity: 112 Reviews Co-Authors: 29 Co-Authors with 117 Joint Publications 726 Co-Co-Authors all top 5 Co-Authors 11 single-authored 53 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 für die Reine und Angewandte Mathematik 5 Journal of Number Theory 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 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica 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 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 Rivista di Matematica della Università di Parma. New Series 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 129 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 101 Publications have been cited 711 times in 383 Documents Cited by ▼ Year ▼ On the structure of the Selberg class. I: \(0\leq d\leq 1\). Zbl 1126.11335Kaczorowski, Jerzy; Perelli, Alberto 59 1999 The Selberg class: A survey. Zbl 0929.11028Kaczorowski, J.; Perelli, A. 54 1999 A survey of the Selberg class of \(L\)-functions. I. Zbl 1118.11037Perelli, Alberto 44 2005 A survey of the Selberg class of \(L\)-functions. II. Zbl 1166.11345Perelli, Alberto 34 2004 On the exceptional set for Goldbach’s problem in short intervals. Zbl 0806.11042Perelli, A.; Pintz, J. 21 1993 On the structure of the Selberg class. VI: Non-linear twists. Zbl 1082.11055Kaczorowski, J.; Perelli, A. 21 2005 On the structure of the Selberg class. VII: \(1<d<2\). Zbl 1235.11085Kaczorowski, Jerzy; Perelli, Alberto 20 2011 General L-functions. Zbl 0485.10030Perelli, Alberto 19 1982 On the structure of the Selberg class. V: \(1<d<5/3\). Zbl 1034.11051Kaczorowski, Jerzy; Perelli, Alberto 17 2002 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 15 1999 The values of binary linear forms at prime arguments. Zbl 0924.11085Brüdern, J.; Cook, R. J.; Perelli, A. 15 1997 Non-linear twists of \(L\)-functions: a survey. Zbl 1275.11127Perelli, A. 14 2010 Averages of twisted elliptic \(L\)-functions. Zbl 0878.11022Perelli, A.; Pomykała, J. 14 1997 On Linnik’s theorem on Goldbach numbers in short intervals and related problems. Zbl 0799.11040Languasco, A.; Perelli, A. 13 1994 On the prime number theorem for the Selberg class. Zbl 1126.11334Kaczorowski, J.; Perelli, A. 13 2003 Linear independence of \(L\)-functions. Zbl 1099.11048Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 12 2006 Exponential sums over primes in an arithmetic progression. Zbl 0524.10030Balog, Antal; Perelli, Alberto 12 1985 Bombieri’s theorem in short intervals. Zbl 0579.10019Perelli, A.; Pintz, J.; Salerno, S. 11 1984 Linear independence in the Selberg class. Zbl 0929.11029Kaczorowski, J.; Molteni, G.; Perelli, A. 10 1999 The exceptional set for the sum of a prime and a square. Zbl 0683.10039Brünner, R.; Perelli, A.; Pintz, J. 9 1989 Goldbach numbers represented by polynomials. Zbl 0874.11069Perelli, Alberto 9 1996 The exceptional set for the number of primes in short intervals. Zbl 0972.11087Bazzanella, D.; Perelli, A. 9 2000 Bombieri’s theorem in short intervals. II. Zbl 0579.10020Perelli, A.; Pintz, J.; Salerno, S. 8 1985 On general \(L\)-functions. Zbl 0809.11046Carletti, E.; Monti Bragadin, G.; Perelli, A. 8 1994 Functional independence of the singularities of a class of Dirichlet series. Zbl 0905.11036Kaczorowski, J.; Perelli, A. 8 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 some exponential sums connected with Ramanujan’s \(\tau\) -function. Zbl 0549.10033Perelli, A. 7 1984 On the structure of the Selberg class. II: Invariants and conjectures. Zbl 0982.11051Kaczorowski, J.; Perelli, A. 7 2000 On the exceptional set for the 2\(k\)-twin primes problem. Zbl 0756.11028Perelli, Alberto; Pintz, János 6 1992 A note on \(\text{GL}_2\) converse theorems. Zbl 1002.11041Diaconu, A.; Perelli, A.; Zaharescu, A. 6 2002 A pair correlation hypothesis and the exceptional set in Goldbach’s problem. Zbl 0884.11042Languasco, A.; Perelli, A. 6 1996 Explicit relations between pair correlation of zeros and primes in short intervals. Zbl 1326.11049Languasco, Alessandro; Perelli, Alberto; Zaccagnini, Alessandro 6 2012 On recurrent mod \(p\) sequences. Zbl 0517.10006Perelli, A.; Zannier, U. 6 1984 Primes and prime ideals in short intervals. Zbl 1404.11113Grenié, Loïc; Molteni, Giuseppe; Perelli, Alberto 6 2017 Some remarks on the convergence of the Dirichlet series of \(L\)-functions and related questions. Zbl 1381.11089Kaczorowski, Jerzy; Perelli, Alberto 6 2017 Converse theorems: from the Riemann zeta function to the Selberg class. Zbl 1407.11105Perelli, Alberto 6 2017 Unique factorization results for semigroups of \(L\)-functions. Zbl 1163.11062Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 5 2008 Linear twists of \(L\)-functions of degree 2 from the Selberg class. Zbl 1269.11091Kaczorowski, J.; Perelli, A. 5 2010 Hecke’s theory and the Selberg class. Zbl 1196.11069Kaczorowski, J.; Molteni, G.; Perelli, A.; Steuding, J.; Wolfart, J. 5 2006 Twists and resonance of \(L\)-functions. I. Zbl 1404.11107Kaczorowski, Jerzy; Perelli, Alberto 5 2016 Twins of \(k\)-free numbers and their exponential sum. Zbl 0987.11061Brüdern, J.; Perelli, A.; Wooley, T. D. 4 2000 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 On the Montgomery-Hooley theorem in short intervals. Zbl 1238.11087Languasco, A.; Perelli, A.; Zaccagnini, A. 4 2010 A uniform version of Stirling’s formula. Zbl 1229.33003Kaczorowski, Jerzy; Perelli, Alberto 4 2011 A note on Hecke’s functional equation and the Selberg class. Zbl 1269.11089Bragadin, Giacomo Monti; Carletti, Ettore; Perelli, Alberto 4 2009 A converse theorem for Dirichlet \(L\)-functions. Zbl 1242.11061Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 4 2010 Factorization in the extended Selberg class. Zbl 1065.11072Kaczorowski, Jerzy; Perelli, Alberto 4 2003 Twists, Euler products and a converse theorem for \(L\)-functions of degree 2. Zbl 1331.11073Kaczorowski, Jerzy; Perelli, Alberto 4 2015 Strong multiplicity one for the Selberg class. Zbl 0987.11056Kaczorowski, Jerzy; Perelli, Alberto 4 2001 Local problems with primes. I. Zbl 0677.10028Perelli, Alberto 3 1989 An extremal property of the Möbius function. Zbl 0683.10036Perelli, A.; Zannier, U. 3 1989 Some remarks on the unique factorization in certain semigroups of classical \(L\)-functions. Zbl 1223.11105Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 3 2007 Exponential sums over primes in short intervals. Zbl 0612.10031Balog, A.; Perelli, A. 3 1986 On the distribution of primes in short intervals. Zbl 0787.11038Kaczorowski, Jerzy; Perelli, Alberto 3 1993 Hardy-Littlewood numbers in short intervals. Zbl 0851.11056Perelli, A.; Pintz, J. 3 1995 A new form of the Riemann-von Mangoldt explicit formula. Zbl 0856.11040Kaczorowski, J.; Perelli, A. 3 1996 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 structure of the Selberg class. IV: Basic invariants. Zbl 0996.11053Kaczorowski, J.; Perelli, A. 3 2002 A note on the degree conjecture for the Selberg class. Zbl 1254.11084Kaczorowski, Jerzy; Perelli, Alberto 3 2008 Arithmetic properties of certain recurrence sequences. Zbl 0543.10008Perelli, A.; Zannier, U. 3 1984 Diophantine approximation by square-free numbers. Zbl 0565.10029Balog, A.; Perelli, A. 3 1984 Twists and resonance of \(L\)-functions. II. Zbl 1404.11108Kaczorowski, Jerzy; Perelli, Alberto 3 2016 On the prime ideal theorem and irregularities in the distribution of primes. Zbl 0818.11035Nair, M.; Perelli, A. 3 1995 On the structure of the Selberg class. III: Sarnak’s rigidity conjecture. Zbl 0997.11072Kaczorowski, J.; Perelli, A. 3 2000 An extension of the pair-correlation conjecture and applications. Zbl 1398.11120Languasco, Alessandro; Perelli, Alberto; Zaccagnini, Alessandro 3 2016 Explicit formulae for averages of Goldbach representations. Zbl 1470.11251Brüdern, Jörg; Kaczorowski, Jerzy; Perelli, Alberto 3 2019 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 On the \(L^1\) mean of the exponential sum formed with the Möbius function. Zbl 0932.11053Balog, A.; Perelli, A. 2 1998 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 The \(L^ 1\) norm of certain exponential sums in number theory: A survey. Zbl 0877.11045Perelli, A. 2 1995 Goldbach numbers in sparse sequences. Zbl 0902.11042Brüdern, Jörg; Perelli, Alberto 2 1998 Goldbach numbers and uniform distribution mod 1. Zbl 0911.11047Brüdern, Jörg; Perelli, Alberto 2 1997 A remark on solutions of functional equations of Riemann’s type. Zbl 1065.11071Kaczorowski, Jerzy; Perelli, Alberto 2 2004 Zeros and poles of Dirichlet series. Zbl 1170.11320Bombieri, Enrico; Perelli, Alberto 2 2001 Real zeros of general L-functions. Zbl 0506.10034Perelli, Alberto; Puglisi, Giuseppe 2 1981 An extension of the Bourgain-Sarnak-Ziegler theorem with modular applications. Zbl 1445.11099Cafferata, Mattia; Perelli, A.; Zaccagnini, Alessandro 2 2020 A weak converse theorem for degree 2 \(L\)-functions with conductor 1. Zbl 1411.11082Kaczorowski, Jerzy; Perelli, Alberto 2 2017 Sieve methods and class-number problems. II. Zbl 0665.10029Nair, Mohan; Perelli, Alberto 1 1988 On the Linnik–Sprindžuk theorem about the zeros of \(L\)-functions. Zbl 1228.11142Kaczorowski, J.; Perelli, A. 1 2008 An \(\Omega\) result in uniform distribution theory. Zbl 0617.10035Perelli, A.; Zannier, U. 1 1987 Mean values of certain zeta-functions on the critical line. Zbl 0706.11049Ivić, A.; Perelli, A. 1 1989 Internal twists of \(L\)-functions. Zbl 1298.11091Kaczorowski, Jerzy; Perelli, Alberto 1 2014 Pair correlation of zeros, primes in short intervals and exponential sums over primes. Zbl 0973.11081Languasco, Alessandro; Perelli, Alberto 1 2000 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 Applications of a theorem of H. Cramér to the Selberg class. Zbl 1028.11056Kaczorowski, J.; Perelli, A. 1 2002 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 A note on Bessel twists of \(L\)-functions. Zbl 1381.11088Kaczorowski, J.; Perelli, A. 1 2015 On an average of primes in short intervals. Zbl 0495.10026Perelli, A.; Salerno, S. 1 1982 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 General \(\Omega\)-theorems for coefficients of \(L\)-functions. Zbl 1331.11074Kaczorowski, Jerzy; Perelli, Alberto 1 2015 On some classical explicit formulae. Zbl 0568.10020Perelli, A.; Puglisi, G. 1 1985 A note on Linnik’s approach to the Dirichlet \(L\)-functions. Zbl 1453.11109Kaczorowski, J.; Perelli, A. 1 2017 On the standard twist of the \(L\)-functions of half-integral weight cusp forms. Zbl 1469.11354Kaczorowski, Jerzy; Perelli, Alberto 1 2020 Exponential sums and additive problems involving square-free numbers. Zbl 1019.11028Brüdern, Jörg; Perelli, Alberto 1 1999 An extension of the Bourgain-Sarnak-Ziegler theorem with modular applications. Zbl 1445.11099Cafferata, Mattia; Perelli, A.; Zaccagnini, Alessandro 2 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 3 2019 Primes and prime ideals in short intervals. Zbl 1404.11113Grenié, Loïc; Molteni, Giuseppe; Perelli, Alberto 6 2017 Some remarks on the convergence of the Dirichlet series of \(L\)-functions and related questions. Zbl 1381.11089Kaczorowski, Jerzy; Perelli, Alberto 6 2017 Converse theorems: from the Riemann zeta function to the Selberg class. Zbl 1407.11105Perelli, Alberto 6 2017 A weak converse theorem for degree 2 \(L\)-functions with conductor 1. Zbl 1411.11082Kaczorowski, Jerzy; Perelli, Alberto 2 2017 A note on Linnik’s approach to the Dirichlet \(L\)-functions. Zbl 1453.11109Kaczorowski, J.; Perelli, A. 1 2017 An extended pair-correlation conjecture and primes in short intervals. Zbl 1422.11177Languasco, A.; Perelli, A.; Zaccagnini, A. 1 2017 Twists and resonance of \(L\)-functions. I. Zbl 1404.11107Kaczorowski, Jerzy; Perelli, Alberto 5 2016 Twists and resonance of \(L\)-functions. II. Zbl 1404.11108Kaczorowski, Jerzy; Perelli, Alberto 3 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 4 2015 A note on Bessel twists of \(L\)-functions. Zbl 1381.11088Kaczorowski, J.; Perelli, A. 1 2015 General \(\Omega\)-theorems for coefficients of \(L\)-functions. Zbl 1331.11074Kaczorowski, Jerzy; Perelli, Alberto 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 6 2012 On the structure of the Selberg class. VII: \(1<d<2\). Zbl 1235.11085Kaczorowski, Jerzy; Perelli, Alberto 20 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. 14 2010 Linear twists of \(L\)-functions of degree 2 from the Selberg class. Zbl 1269.11091Kaczorowski, J.; Perelli, A. 5 2010 On the Montgomery-Hooley theorem in short intervals. Zbl 1238.11087Languasco, A.; Perelli, A.; Zaccagnini, A. 4 2010 A converse theorem for Dirichlet \(L\)-functions. Zbl 1242.11061Kaczorowski, Jerzy; Molteni, Giuseppe; Perelli, Alberto 4 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 12 2006 Hecke’s theory and the Selberg class. Zbl 1196.11069Kaczorowski, J.; Molteni, G.; Perelli, A.; Steuding, J.; Wolfart, J. 5 2006 A survey of the Selberg class of \(L\)-functions. I. Zbl 1118.11037Perelli, Alberto 44 2005 On the structure of the Selberg class. VI: Non-linear twists. Zbl 1082.11055Kaczorowski, J.; Perelli, A. 21 2005 A survey of the Selberg class of \(L\)-functions. II. Zbl 1166.11345Perelli, Alberto 34 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. 13 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. 3 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 4 2001 Zeros and poles of Dirichlet series. Zbl 1170.11320Bombieri, Enrico; Perelli, Alberto 2 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. 7 2000 Twins of \(k\)-free numbers and their exponential sum. Zbl 0987.11061Brüdern, J.; Perelli, A.; Wooley, T. D. 4 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 59 1999 The Selberg class: A survey. Zbl 0929.11028Kaczorowski, J.; Perelli, A. 54 1999 The pair correlation of zeros of functions in the Selberg class. Zbl 0929.11030Murty, M. Ram; Perelli, Alberto 15 1999 Linear independence in the Selberg class. Zbl 0929.11029Kaczorowski, J.; Molteni, G.; Perelli, A. 10 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. 8 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. 2 1998 Goldbach numbers in sparse sequences. Zbl 0902.11042Brüdern, Jörg; Perelli, Alberto 2 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. 14 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 Hardy-Littlewood numbers in short intervals. Zbl 0851.11056Perelli, A.; Pintz, J. 3 1995 On the prime ideal theorem and irregularities in the distribution of primes. Zbl 0818.11035Nair, M.; Perelli, A. 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 The \(L^ 1\) norm of certain exponential sums in number theory: A survey. Zbl 0877.11045Perelli, A. 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 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 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 Local problems with primes. I. Zbl 0677.10028Perelli, Alberto 3 1989 An extremal property of the Möbius function. Zbl 0683.10036Perelli, A.; Zannier, U. 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 12 1985 Bombieri’s theorem in short intervals. II. Zbl 0579.10020Perelli, A.; Pintz, J.; Salerno, S. 8 1985 On 2k-dimensional density estimates. Zbl 0524.10033Perelli, A.; Salerno, S. 1 1985 On some classical explicit formulae. Zbl 0568.10020Perelli, A.; Puglisi, G. 1 1985 Bombieri’s theorem in short intervals. Zbl 0579.10019Perelli, A.; Pintz, J.; Salerno, S. 11 1984 On some exponential sums connected with Ramanujan’s \(\tau\) -function. Zbl 0549.10033Perelli, A. 7 1984 On recurrent mod \(p\) sequences. Zbl 0517.10006Perelli, A.; Zannier, U. 6 1984 Arithmetic properties of certain recurrence sequences. Zbl 0543.10008Perelli, A.; Zannier, U. 3 1984 Diophantine approximation by square-free numbers. Zbl 0565.10029Balog, A.; Perelli, A. 3 1984 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 General L-functions. Zbl 0485.10030Perelli, Alberto 19 1982 On an average of primes in short intervals. Zbl 0495.10026Perelli, A.; Salerno, S. 1 1982 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 342 Authors 36 Perelli, Alberto 29 Kaczorowski, Jerzy 16 Languasco, Alessandro 15 Zaccagnini, Alessandro 11 Lu, Guangshi 11 Molteni, Giuseppe 9 Bazzanella, Danilo 9 Steuding, Jörn 7 Smajlović, Lejla 6 Li, Baoqin 6 Mazhouda, Kamel 6 Odžak, Almasa 6 Zaharescu, Alexandru 5 Booker, Andrew R. 5 Jiang, Yujiao 5 Wang, Yuchao 5 Ye, Yangbo 5 Zannier, Umberto M. 4 Alkan, Emre 4 Brüdern, Jörg 4 Dufner, Gunter 4 Gambini, Alessandro 4 Hou, Fei 4 Lao, Huixue 4 Macaitienė, Renata 4 Murty, Maruti Ram 4 Oliver, Thomas 4 Omar, Sami 4 Pintz, Janos 4 Radziejewski, Maciej 4 Sankaranarayanan, Ayyadurai 4 Wolke, Dieter 3 Byeon, Dongho 3 Cantarini, Marco 3 Chen, Junfan 3 Conrey, John Brian 3 Coppola, Giovanni 3 Dixit, Anup B. 3 Ernvall-Hytönen, Anne-Maria 3 Fomenko, Oleg Mstislavovich 3 Garunkštis, Ramūnas 3 Ge, Wenxu 3 Grenié, Loïc 3 Ivić, Aleksandar 3 Keating, Jonathan Peter 3 Ki, Haseo 3 Li, Xiaomin 3 Liu, Huafeng 3 Matiyasevich, Yuriĭ Vladimirovich 3 Matomäki, Kaisa Sofia 3 Pankowski, Łukasz 3 Ramaré, Olivier 3 Srinivas, Kotyada 3 Sun, Haiwei 3 Suzuki, Yuta 3 Wang, Tianze 3 Wang, Zhiwei 3 Wong, Peng-Jie 3 Yi, Hongxun 2 Bauer, Claus 2 Bettin, Sandro 2 Bourgain, Jean 2 Bucur, Alina 2 Cimpoeaş, Mircea 2 de Roton, Anne 2 Dudek, Adrian W. 2 Farmer, David W. 2 Ford, Kevin B. 2 Göral, Haydar 2 Gun, Sanoli 2 Hao, Wenjie 2 He, Xiaoguang 2 Hilberdink, Titus W. 2 Huang, Jing 2 Jiménez-Urroz, Jorge 2 Kawada, Koichi 2 Laporta, Maurizio B. S. 2 Laurinčikas, Antanas 2 Lester, Stephen J. 2 Liu, Jianya 2 Liu, Ming-Chit 2 Lu, Feng 2 Meng, Zaizhao 2 Miller, Steven J. 2 Mine, Masahiro 2 Mukhopadhyay, Anirban 2 Noda, Takumi 2 Ono, Ken 2 Pila, Jonathan 2 Radziwiłł, Maksym 2 Rassias, Michael Th. 2 Ren, Xiumin 2 Righetti, Mattia 2 Roditty-Gershon, Edva 2 Roy, Arindam 2 Sarnak, Peter Clive 2 Šimėnas, Raivydas 2 Soundararajan, Kannan 2 Spencer, Craig V. 2 Srichan, Teerapat ...and 242 more Authors all top 5 Cited in 104 Serials 44 Journal of Number Theory 22 International Journal of Number Theory 18 Functiones et Approximatio. Commentarii Mathematici 16 The Ramanujan Journal 14 Monatshefte für Mathematik 12 Acta Arithmetica 12 Journal de Théorie des Nombres de Bordeaux 9 Journal of Mathematical Analysis and Applications 9 Mathematische Zeitschrift 9 Mathematika 8 Mathematische Annalen 8 Proceedings of the American Mathematical Society 8 Transactions of the American Mathematical Society 8 Frontiers of Mathematics in China 7 Lithuanian Mathematical Journal 7 Acta Mathematica Hungarica 6 Archiv der Mathematik 6 Duke Mathematical Journal 6 Proceedings of the Steklov Institute of Mathematics 5 Rocky Mountain Journal of Mathematics 5 Compositio Mathematica 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Open Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Periodica Mathematica Hungarica 3 Bulletin of the Australian Mathematical Society 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Forum Mathematicum 3 Expositiones Mathematicae 3 Acta Mathematica Sinica. 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Serie Quarta 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Kyungpook Mathematical Journal 1 Mathematica Slovaca 1 Nagoya Mathematical Journal 1 Rendiconti del Seminario Matematico della Università di Padova 1 Physica D 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 The Journal of Analysis 1 Combinatorics, Probability and Computing 1 Annales Mathématiques Blaise Pascal 1 Kyushu Journal of Mathematics 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Discrete Dynamics in Nature and Society 1 Journal of Integer Sequences 1 Analysis (München) 1 LMS Journal of Computation and Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Australian Mathematical Society 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 Uniform Distribution Theory 1 Banach Journal of Mathematical Analysis 1 Kyoto Journal of Mathematics 1 Forum of Mathematics, Sigma ...and 4 more Serials all top 5 Cited in 22 Fields 373 Number theory (11-XX) 27 Functions of a complex variable (30-XX) 5 Algebraic geometry (14-XX) 4 Combinatorics (05-XX) 4 Group theory and generalizations (20-XX) 4 Special functions (33-XX) 3 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Field theory and polynomials (12-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-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