Edit Profile (opens in new tab) Pétermann, Yves-François S. Co-Author Distance Author ID: petermann.yves-francois-s Published as: Pétermann, Y.-F. S.; Petermann, Y.-F. S.; Pétermann, Yves-François S. more...less Documents Indexed: 40 Publications since 1986 1 Contribution as Editor · 1 Further Contribution Co-Authors: 9 Co-Authors with 15 Joint Publications 175 Co-Co-Authors all top 5 Co-Authors 26 single-authored 5 Balakrishnan, Uckath-Variyath 4 Remy, Jean-Luc 2 Vardi, Ilan 2 Wu, Jie 1 Adhikari, Sukumar Das 1 Balazard, Michel 1 Bannai, Eiichi 1 Coray, Daniel François 1 Lau, Yuk-Kam 1 Munemasa, Akihiro 1 Naimi, Mongi 1 Venkov, Boris B. all top 5 Serials 7 Acta Arithmetica 4 Journal of Number Theory 2 Archiv der Mathematik 2 Monatshefte für Mathematik 2 Advances in Applied Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 Analysis (München) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Illinois Journal of Mathematics 1 Indian Journal of Mathematics 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematika 1 Tsukuba Journal of Mathematics 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Acta Mathematica Hungarica 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Elemente der Mathematik 1 L’Enseignement Mathématique. 2e Série 1 St. Petersburg Mathematical Journal 1 RIMS Kokyuroku 1 Astérisque 1 Journal of Algebra, Number Theory: Advances and Applications all top 5 Fields 41 Number theory (11-XX) 3 Combinatorics (05-XX) 3 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 82 times in 52 Documents Cited by ▼ Year ▼ The nonexistence of certain tight spherical designs. Zbl 1072.05017 Bannai, E.; Munemasa, A.; Venkov, B. 43 2005 On the sum of exponential divisors of an integer. Zbl 0902.11037 Pétermann, Y.-F. S.; Wu, J. 10 1997 Divisor problems and exponent pairs. Zbl 0619.10034 Pétermann, Y.-F. S. 8 1988 The Dirichlet series of \(\zeta(s) \zeta^ \alpha (s+1) f(s+1)\): On an error term associated with its coefficients. Zbl 0846.11054 Balakrishnan, U.; Pétermann, Y.-F. S. 6 1996 On Golomb’s self describing sequence. II. Zbl 0865.11022 Petermann, Y.-F. S. 5 1996 On Golomb’s self describing sequence. Zbl 0839.11005 Pétermann, Y.-F. S. 4 1995 An \(\Omega\)-theorem for an error term related to the sum-of-divisors functions. Zbl 0606.10035 Pétermann, Y.-F. S. 4 1987 Lattice points in ellipsoids. Zbl 0705.11056 Adhikari, Sukumar Das; Pétermann, Y.-F. S. 4 1991 On an estimate of Walfisz and Saltykov for an error term related to the Euler function. Zbl 0917.11047 Pétermann, Y.-F. S. 4 1998 On a functional-differential equation related to Golomb’s self-described sequence. Zbl 0973.11029 Pétermann, Y.-F. S.; Rémy, J.-L.; Vardi, I. 3 1999 About a theorem of Paolo Codecà’s and \(\Omega\)-estimates for arithmetical convolutions. Zbl 0649.10034 Pétermann, Y.-F. S. 3 1988 Golomb’s self-described sequence and functional differential equations. Zbl 0901.11009 Pétermann, Y.-F. S.; Rémy, Jean-Luc 3 1998 Changes of sign of error terms related to Euler’s function and to divisor functions. Zbl 0613.10037 Pétermann, Y.-F. S. 3 1986 About a theorem of Paolo Codecà’s and Omega estimates for arithmetical convolutions. Zbl 0759.11029 Pétermann, Y.-F. S. 2 1990 On the average behaviour of the largest divisor of \(n\) prime to a fixed integer \(k\). Zbl 0758.11039 Pétermann, Y.-F. S. 2 1991 Omega theorems for divisor functions. Zbl 0819.11037 Pétermann, Y.-F. S. 2 1990 Existence of all the asymptotic \(\lambda\)-th means for certain arithmetical convolutions. Zbl 0661.10056 Pétermann, Y.-F. S. 2 1988 On the distribution of values of an error term related to the Euler function. Zbl 0685.10030 Pétermann, Y.-F. S. 2 1989 Arithmetical functions involving exponential divisors: note on two papers by L. Tóth. Zbl 1240.11116 Petermann, Y.-F. S. 2 2010 Changes of sign of error terms related to Euler’s function and to divisor functions. II. Zbl 0613.10038 Pétermann, Y.-F. S. 2 1988 Study of a multiple arithmetical sum related to the Möbius function. (Étude d’une somme arithmétique multiple liée à la fonction de Möbius.) Zbl 1206.11119 Balazard, Michel; Naimi, Mongi; Pétermann, Y.-F. S. 2 2008 Oscillations d’un terme d’erreur lié à la fonction totient de Jordan. (Oscillations of the error term associated with the Jordan totient function). Zbl 0749.11041 Pétermann, Y.-F. S. 1 1991 Divisor problems and exponent pairs: On a conjecture by Chowla and Walum. Zbl 0685.10031 Petermann, Y.-F. S. 1 1988 Errata to “The Dirichlet series of \(\zeta(s) \zeta^\alpha(s+1) f(s+1)\): On an error term associated with its coefficients”. Zbl 0919.11058 Balakrishnan, U.; Pétermann, Y.-F. S. 1 1999 Asymptotic estimates for a class of summatory functions. Zbl 0917.11045 Balakrishnan, U.; Pétermann, Y.-F. S. 1 1998 About a theorem of Paolo Codecà’s and \(\Omega\)-estimates for arithmetical convolutions: Addendum. Zbl 0732.11048 Pétermann, Y.-F. S. 1 1990 An \(\Omega\)-theorem …: Addendum. Zbl 0639.10030 Pétermann, Y.-F. S. 1 1988 On some asymptotic formulae of Ramanujan. Zbl 0999.11059 Pétermann, Y.-F. S.; Wu, J. 1 2002 Discrete derivatives of sequences. Zbl 1024.11012 Pétermann, Y.-F. S.; Rémy, Jean-Luc; Vardi, Ilan 1 2001 Asymptotic estimates for a class of summatory functions. II. Zbl 0999.11057 Balakrishnan, U.; Pétermann, Y.-F. S. 1 2001 Arithmetical functions involving exponential divisors: note on two papers by L. Tóth. Zbl 1240.11116 Petermann, Y.-F. S. 2 2010 Study of a multiple arithmetical sum related to the Möbius function. (Étude d’une somme arithmétique multiple liée à la fonction de Möbius.) Zbl 1206.11119 Balazard, Michel; Naimi, Mongi; Pétermann, Y.-F. S. 2 2008 The nonexistence of certain tight spherical designs. Zbl 1072.05017 Bannai, E.; Munemasa, A.; Venkov, B. 43 2005 On some asymptotic formulae of Ramanujan. Zbl 0999.11059 Pétermann, Y.-F. S.; Wu, J. 1 2002 Discrete derivatives of sequences. Zbl 1024.11012 Pétermann, Y.-F. S.; Rémy, Jean-Luc; Vardi, Ilan 1 2001 Asymptotic estimates for a class of summatory functions. II. Zbl 0999.11057 Balakrishnan, U.; Pétermann, Y.-F. S. 1 2001 On a functional-differential equation related to Golomb’s self-described sequence. Zbl 0973.11029 Pétermann, Y.-F. S.; Rémy, J.-L.; Vardi, I. 3 1999 Errata to “The Dirichlet series of \(\zeta(s) \zeta^\alpha(s+1) f(s+1)\): On an error term associated with its coefficients”. Zbl 0919.11058 Balakrishnan, U.; Pétermann, Y.-F. S. 1 1999 On an estimate of Walfisz and Saltykov for an error term related to the Euler function. Zbl 0917.11047 Pétermann, Y.-F. S. 4 1998 Golomb’s self-described sequence and functional differential equations. Zbl 0901.11009 Pétermann, Y.-F. S.; Rémy, Jean-Luc 3 1998 Asymptotic estimates for a class of summatory functions. Zbl 0917.11045 Balakrishnan, U.; Pétermann, Y.-F. S. 1 1998 On the sum of exponential divisors of an integer. Zbl 0902.11037 Pétermann, Y.-F. S.; Wu, J. 10 1997 The Dirichlet series of \(\zeta(s) \zeta^ \alpha (s+1) f(s+1)\): On an error term associated with its coefficients. Zbl 0846.11054 Balakrishnan, U.; Pétermann, Y.-F. S. 6 1996 On Golomb’s self describing sequence. II. Zbl 0865.11022 Petermann, Y.-F. S. 5 1996 On Golomb’s self describing sequence. Zbl 0839.11005 Pétermann, Y.-F. S. 4 1995 Lattice points in ellipsoids. Zbl 0705.11056 Adhikari, Sukumar Das; Pétermann, Y.-F. S. 4 1991 On the average behaviour of the largest divisor of \(n\) prime to a fixed integer \(k\). Zbl 0758.11039 Pétermann, Y.-F. S. 2 1991 Oscillations d’un terme d’erreur lié à la fonction totient de Jordan. (Oscillations of the error term associated with the Jordan totient function). Zbl 0749.11041 Pétermann, Y.-F. S. 1 1991 About a theorem of Paolo Codecà’s and Omega estimates for arithmetical convolutions. Zbl 0759.11029 Pétermann, Y.-F. S. 2 1990 Omega theorems for divisor functions. Zbl 0819.11037 Pétermann, Y.-F. S. 2 1990 About a theorem of Paolo Codecà’s and \(\Omega\)-estimates for arithmetical convolutions: Addendum. Zbl 0732.11048 Pétermann, Y.-F. S. 1 1990 On the distribution of values of an error term related to the Euler function. Zbl 0685.10030 Pétermann, Y.-F. S. 2 1989 Divisor problems and exponent pairs. Zbl 0619.10034 Pétermann, Y.-F. S. 8 1988 About a theorem of Paolo Codecà’s and \(\Omega\)-estimates for arithmetical convolutions. Zbl 0649.10034 Pétermann, Y.-F. S. 3 1988 Existence of all the asymptotic \(\lambda\)-th means for certain arithmetical convolutions. Zbl 0661.10056 Pétermann, Y.-F. S. 2 1988 Changes of sign of error terms related to Euler’s function and to divisor functions. II. Zbl 0613.10038 Pétermann, Y.-F. S. 2 1988 Divisor problems and exponent pairs: On a conjecture by Chowla and Walum. Zbl 0685.10031 Petermann, Y.-F. S. 1 1988 An \(\Omega\)-theorem …: Addendum. Zbl 0639.10030 Pétermann, Y.-F. S. 1 1988 An \(\Omega\)-theorem for an error term related to the sum-of-divisors functions. Zbl 0606.10035 Pétermann, Y.-F. S. 4 1987 Changes of sign of error terms related to Euler’s function and to divisor functions. Zbl 0613.10037 Pétermann, Y.-F. S. 3 1986 all cited Publications top 5 cited Publications all top 5 Cited by 62 Authors 12 Pétermann, Yves-François S. 3 Cao, Xiaodong 3 Furuya, Jun 3 Kiuchi, Isao 3 Remy, Jean-Luc 3 Saad Eddin, Sumaia 3 Tanigawa, Yoshio 3 Zhai, Wenguang 2 Fomenko, Oleg Mstislavovich 2 Lau, Yuk-Kam 2 Minamide, T. Makoto 2 Minculete, Nicusor 2 Savin, Diana 2 Shparlinski, Igor E. 2 Si, Jianguo 2 Vardi, Ilan 2 Wu, Jie 2 Zhao, Feng 1 Adhikari, Sukumar Das 1 Almeida, Paulo J. 1 Alzer, Horst 1 Balakrishnan, Uckath-Variyath 1 Bănescu, Magdalena 1 Berend, Daniel 1 Berg, Christian 1 Bordellès, Olivier 1 Brevig, Ole Fredrik 1 Chaubey, Sneha 1 Ernvall-Hytönen, Anne-Maria 1 Fu, Bin 1 Goel, Shivani 1 Gomez-Perez, Domingo 1 Grytczuk, Jarosław 1 Gu, Pengfei 1 Haukkanen, Pentti 1 Heap, Winston P. 1 Inoue, Shōta 1 Iwata, Hideto 1 Kim, Sungjin 1 Koumandos, Stamatis 1 Kumar, Rishi 1 Lelechenko, Andrew V. 1 Liu, Jianya 1 Luca, Florian 1 Ma, Jing 1 Matomäki, Kaisa 1 Merikoski, Jorma Kaarlo 1 Moree, Pieter 1 Nakano, Miyu 1 Pollington, Andrew Douglas 1 Popa, Dumitru 1 Sankaranarayanan, Ayyadurai 1 Sedunova, Alisa 1 Shi, Sanying 1 Shimomura, Shun 1 Suzuki, Yuta 1 Trudgian, Timothy S. 1 Wang, Ruijing 1 Wu, Liuying 1 Zhang, Weinian 1 Zhao, Houyu 1 Zhao, Yuming all top 5 Cited in 30 Serials 12 Journal of Number Theory 5 International Journal of Number Theory 3 Journal de Théorie des Nombres de Bordeaux 2 Archiv der Mathematik 2 Functiones et Approximatio. Commentarii Mathematici 2 Monatshefte für Mathematik 2 Journal of Mathematical Sciences (New York) 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Mathematika 1 Theoretical Computer Science 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Expositiones Mathematicae 1 Experimental Mathematics 1 Science China. Mathematics 1 Journal of Mathematics 1 Research in Number Theory 1 Advanced Studies: Euro-Tbilisi Mathematical Journal all top 5 Cited in 8 Fields 48 Number theory (11-XX) 4 Ordinary differential equations (34-XX) 2 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) Citations by Year