## Sanna, Carlo

Compute Distance To:
 Author ID: sanna.carlo Published as: Sanna, Carlo; Sanna, C.
 Documents Indexed: 49 Publications since 2012 Co-Authors: 26 Co-Authors with 21 Joint Publications 807 Co-Co-Authors
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### Co-Authors

 28 single-authored 5 Leonetti, Paolo 3 Bettin, Sandro 2 Miska, Piotr 2 Molteni, Giuseppe 2 Murru, Nadir 1 Barbero, Stefano 1 Bazzanella, Danilo 1 Bellini, Emanuele 1 Di Scala, Antonio Jose 1 Garcia, Stephan Ramon 1 Gnang, Edinah K. 1 Hong, Yu Xuan 1 Kane, Daniel M. 1 Koukoulopoulos, Dimitris 1 Luca, Florian 1 Mastrostefano, Daniele 1 Pinsker, Elena 1 Pollack, Paul 1 Radziwiłł, Maksym 1 Schechter, Evan 1 Shallit, Jeffrey O. 1 Signorini, Edoardo 1 Starr, Adam 1 Szikszai, Márton 1 Tron, Emanuele 1 Verbel, Javier A.
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### Serials

 8 Journal of Number Theory 6 International Journal of Number Theory 5 Bulletin of the Australian Mathematical Society 3 Quaestiones Mathematicae 2 Bulletin of the London Mathematical Society 2 Acta Mathematica Hungarica 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of Integer Sequences 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Research in Number Theory 1 Discrete Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Acta Arithmetica 1 Advances in Mathematics 1 The Fibonacci Quarterly 1 European Journal of Combinatorics 1 Combinatorica 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Notes on Number Theory and Discrete Mathematics 1 Integers 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Journal of Mathematical Cryptology 1 Uniform Distribution Theory
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### Fields

 48 Number theory (11-XX) 4 Combinatorics (05-XX) 2 Computer science (68-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 118 times in 71 Documents Cited by Year
The $$p$$-adic valuation of Lucas sequences. Zbl 1400.11053
Sanna, Carlo
2016
On the $$p$$-adic valuation of harmonic numbers. Zbl 1338.11036
Sanna, Carlo
2016
On numbers $$n$$ dividing the $$n$$th term of a Lucas sequence. Zbl 1416.11029
Sanna, Carlo
2017
The quotient set of $$k$$-generalised Fibonacci numbers is dense in $$\mathbb{Q}_p$$. Zbl 1425.11031
Sanna, Carlo
2017
$$p$$-adic quotient sets. Zbl 1428.11023
Garcia, Stephan Ramon; Hong, Yu Xuan; Luca, Florian; Pinsker, Elena; Sanna, Carlo; Schechter, Evan; Starr, Adam
2017
On the l.c.m. of random terms of binary recurrence sequences. Zbl 1471.11038
Sanna, Carlo
2020
On the $$p$$-adic valuation of Stirling numbers of the first kind. Zbl 1399.11063
Leonetti, P.; Sanna, C.
2017
Distribution of integral values for the ratio of two linear recurrences. Zbl 1421.11016
Sanna, Carlo
2017
Central binomial coefficients divisible by or coprime to their indices. Zbl 1403.11011
Sanna, Carlo
2018
The density of numbers $$n$$ having a prescribed G.C.D. with the $$n$$th Fibonacci number. Zbl 1417.11012
Sanna, Carlo; Tron, Emanuele
2018
On the $$p$$-adic denseness of the quotient set of a polynomial image. Zbl 1450.11005
Miska, Piotr; Murru, Nadir; Sanna, Carlo
2019
On the greatest common divisor of $$n$$ and the $$n$$th Fibonacci number. Zbl 1437.11025
Leonetti, Paolo; Sanna, Carlo
2018
Practical numbers in Lucas sequences. Zbl 1455.11034
Sanna, Carlo
2019
Waring’s theorem for binary powers. Zbl 1463.11148
Kane, Daniel M.; Sanna, Carlo; Shallit, Jeffrey
2019
On the least common multiple of random $$q$$-integers. Zbl 1475.11175
Sanna, Carlo
2021
On the closure of the image of the generalized divisor function. Zbl 1448.11011
Sanna, Carlo
2017
$$p$$-adic denseness of members of partitions of $$\mathbb{N}$$ and their ratio sets. Zbl 1452.11028
Miska, Piotr; Sanna, Carlo
2020
On numbers $$n$$ relatively prime to the $$n$$th term of a linear recurrence. Zbl 1458.11028
Sanna, Carlo
2019
The moments of the logarithm of a G.C.D. related to Lucas sequences. Zbl 1444.11028
Sanna, Carlo
2018
On the number of arithmetic formulas. Zbl 1364.05009
Sanna, Carlo
2015
On the sum of digits of the factorial. Zbl 1395.11025
Sanna, Carlo
2015
On the exponential sum with the sum of digits of hereditary base $$b$$ notation. Zbl 1303.11091
Sanna, Carlo
2014
Greedy approximations by signed harmonic sums and the Thue-Morse sequence. Zbl 1436.11080
Bettin, Sandro; Molteni, Giuseppe; Sanna, Carlo
2020
Small values of signed harmonic sums. (Petites valeurs de sommes harmoniques signées.) Zbl 1434.11063
Bettin, Sandro; Molteni, Giuseppe; Sanna, Carlo
2018
A coprimality condition on consecutive values of polynomials. Zbl 1437.11043
Sanna, Carlo; Szikszai, Márton
2017
Practical numbers among the binomial coefficients. Zbl 1454.11046
Leonetti, Paolo; Sanna, Carlo
2020
Least common multiple of polynomial sequences. Zbl 1468.11195
Bazzanella, Danilo; Sanna, Carlo
2020
A note on product sets of random sets. Zbl 1474.11164
Sanna, C.
2020
On numbers divisible by the product of their nonzero base $$b$$ digits. Zbl 1484.11021
Sanna, Carlo
2020
On the least common multiple of random $$q$$-integers. Zbl 1475.11175
Sanna, Carlo
2021
On the l.c.m. of random terms of binary recurrence sequences. Zbl 1471.11038
Sanna, Carlo
2020
$$p$$-adic denseness of members of partitions of $$\mathbb{N}$$ and their ratio sets. Zbl 1452.11028
Miska, Piotr; Sanna, Carlo
2020
Greedy approximations by signed harmonic sums and the Thue-Morse sequence. Zbl 1436.11080
Bettin, Sandro; Molteni, Giuseppe; Sanna, Carlo
2020
Practical numbers among the binomial coefficients. Zbl 1454.11046
Leonetti, Paolo; Sanna, Carlo
2020
Least common multiple of polynomial sequences. Zbl 1468.11195
Bazzanella, Danilo; Sanna, Carlo
2020
A note on product sets of random sets. Zbl 1474.11164
Sanna, C.
2020
On numbers divisible by the product of their nonzero base $$b$$ digits. Zbl 1484.11021
Sanna, Carlo
2020
On the $$p$$-adic denseness of the quotient set of a polynomial image. Zbl 1450.11005
Miska, Piotr; Murru, Nadir; Sanna, Carlo
2019
Practical numbers in Lucas sequences. Zbl 1455.11034
Sanna, Carlo
2019
Waring’s theorem for binary powers. Zbl 1463.11148
Kane, Daniel M.; Sanna, Carlo; Shallit, Jeffrey
2019
On numbers $$n$$ relatively prime to the $$n$$th term of a linear recurrence. Zbl 1458.11028
Sanna, Carlo
2019
Central binomial coefficients divisible by or coprime to their indices. Zbl 1403.11011
Sanna, Carlo
2018
The density of numbers $$n$$ having a prescribed G.C.D. with the $$n$$th Fibonacci number. Zbl 1417.11012
Sanna, Carlo; Tron, Emanuele
2018
On the greatest common divisor of $$n$$ and the $$n$$th Fibonacci number. Zbl 1437.11025
Leonetti, Paolo; Sanna, Carlo
2018
The moments of the logarithm of a G.C.D. related to Lucas sequences. Zbl 1444.11028
Sanna, Carlo
2018
Small values of signed harmonic sums. (Petites valeurs de sommes harmoniques signées.) Zbl 1434.11063
Bettin, Sandro; Molteni, Giuseppe; Sanna, Carlo
2018
On numbers $$n$$ dividing the $$n$$th term of a Lucas sequence. Zbl 1416.11029
Sanna, Carlo
2017
The quotient set of $$k$$-generalised Fibonacci numbers is dense in $$\mathbb{Q}_p$$. Zbl 1425.11031
Sanna, Carlo
2017
$$p$$-adic quotient sets. Zbl 1428.11023
Garcia, Stephan Ramon; Hong, Yu Xuan; Luca, Florian; Pinsker, Elena; Sanna, Carlo; Schechter, Evan; Starr, Adam
2017
On the $$p$$-adic valuation of Stirling numbers of the first kind. Zbl 1399.11063
Leonetti, P.; Sanna, C.
2017
Distribution of integral values for the ratio of two linear recurrences. Zbl 1421.11016
Sanna, Carlo
2017
On the closure of the image of the generalized divisor function. Zbl 1448.11011
Sanna, Carlo
2017
A coprimality condition on consecutive values of polynomials. Zbl 1437.11043
Sanna, Carlo; Szikszai, Márton
2017
The $$p$$-adic valuation of Lucas sequences. Zbl 1400.11053
Sanna, Carlo
2016
On the $$p$$-adic valuation of harmonic numbers. Zbl 1338.11036
Sanna, Carlo
2016
On the number of arithmetic formulas. Zbl 1364.05009
Sanna, Carlo
2015
On the sum of digits of the factorial. Zbl 1395.11025
Sanna, Carlo
2015
On the exponential sum with the sum of digits of hereditary base $$b$$ notation. Zbl 1303.11091
Sanna, Carlo
2014
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### Cited by 82 Authors

 24 Sanna, Carlo 5 Wu, Bing-Ling 4 Leonetti, Paolo 3 Chen, Yonggao 3 Mastrostefano, Daniele 3 Miska, Piotr 2 Bettin, Sandro 2 Bravo, Jhon Jairo 2 Defant, Colin 2 Ford, Kevin B. 2 Garcia, Stephan Ramon 2 Hong, Shaofang 2 Konyagin, Sergeĭ Vladimirovich 2 Molteni, Giuseppe 2 Murru, Nadir 2 Onphaeng, Kritkhajohn 2 Pongsriiam, Prapanpong 2 Qiu, Min 2 Shallit, Jeffrey O. 2 Yan, Xiaohui 1 Abi Aad, Maria 1 Achenjang, Niven 1 Adelberg, Arnold M. 1 Antony, Deepa 1 Ballot, Christian 1 Barman, Rupam 1 Bell, Jason P. 1 Berger, Aaron 1 Bravo, Eric F. 1 Buraczewski, Dariusz 1 Chattopadhyay, Jaitra 1 Chiu, Sunben 1 da Graça Neto, Almir Cunha 1 da Silva, Robson 1 Das, Mithun Kumar 1 de Oliveira, Kelvin Souza 1 Díaz, Maribel 1 Donnay, Christopher 1 El Sahili, Amine 1 Erazo, Harold S. 1 Eyyunni, Pramod 1 Feki, Firas 1 Gassert, Thomas Alden 1 Gnang, Edinah K. 1 Gómez, Carlos Alexis 1 Hare, Kathryn E. 1 He, Yuqing 1 Iksanov, Aleksander M. 1 Irmak, Nurettin 1 Jha, Abhishek Kumar 1 Just, Matthew 1 Kim, Seoyoung 1 Komatsu, Takao 1 Lengyel, Tamás 1 Li, Yaoqiang 1 Luca, Florian 1 Marynych, Alexander V. 1 Maynard, James 1 Nath, Ayan 1 Pan, Minghao 1 Panda, Gopal Krishna 1 Patel, Bijan Kumar 1 Patil, Bhuwanesh Rao 1 Patra, Asim 1 Pomerance, Carl Bernard 1 Radziwiłł, Maksym 1 Rajasekaran, Aayush 1 Ramírez, José Luis 1 Ray, Prasanta Kumar 1 Rouse, Jeremy A. 1 Roy, Bidisha 1 Sarkar, Subha 1 Schneider, Maxwell 1 Skałba, Mariusz 1 Tao, Terence 1 Trojovský, Pavel 1 Tron, Emanuele 1 Urbanski, Michael T. 1 Young, Paul Thomas 1 Yuan, Peisen 1 Yuan, Pingzhi 1 Zhang, Wentao
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### Cited in 33 Serials

 12 Journal of Number Theory 8 International Journal of Number Theory 5 Bulletin of the Australian Mathematical Society 4 Integers 3 Rocky Mountain Journal of Mathematics 3 Acta Mathematica Hungarica 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 Turkish Journal of Mathematics 2 Journal of Integer Sequences 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 AIMS Mathematics 1 Discrete Applied Mathematics 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Glasnik Matematički. Serija III 1 Journal de Théorie des Nombres de Bordeaux 1 The Ramanujan Journal 1 Theory of Computing Systems 1 Journal of the European Mathematical Society (JEMS) 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Journal of Mathematics 1 Open Mathematics 1 Research in Number Theory 1 Proceedings of the American Mathematical Society. Series B
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### Cited in 9 Fields

 69 Number theory (11-XX) 7 Combinatorics (05-XX) 3 Computer science (68-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX)