Many recent preprints of mine can also be downloaded from the arxiv website Alessandro Languasco arxiv preprints or on my ResearchGate page. Preprints may differ from the published articles and are not considered by the scientometric counters; if you wish to cite a paper of mine, please cite the final published version.

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Preprints

1. Alessandro Languasco, P. Moree, - Euler constants from primes in arithmetic progression. - in preparation, 2024. Computational part.
2. N. Khandil, Alessandro Languasco, P. Moree, - The Brauer-Siegel ratio for prime cyclotomic fields - submitted, 2024.
3. Alessandro Languasco, F. Luca, P. Moree, A.Togbé - Sequences of integers generated by two fixed primes - submitted, 2023. Computational part. CodeOcean capsule.
4. S. Al Haj-Baddar, Alessandro Languasco, M. Migliardi - Efficient analysis of overdispersed data using an accurate computation of the Dirichlet multinomial distribution - preprint 2023, submitted. TechRxiv. Preprint. CodeOcean capsule.
5. Alessandro Languasco, P. Moree - Quadratic residue bias of the divisor function and Fekete polynomials - preprint 2022, submitted. MR , ZBL .
6. Alessandro Languasco, P. Moree, S. Saad Eddin, A. Sedunova - Computation of the Kummer ratio of the class number for prime cyclotomic fields - Arxiv 2019. MR , ZBL .

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Published papers (in reverse chronological order)

7. N. Khandil, Alessandro Languasco, P. Moree, S. Saad Eddin, A. Sedunova - The Kummer ratio of the relative class number for prime cyclotomic fields - J. Math. Anal. Appl. 538(1):Paper No. 128368, 2024. Computational part. MR , ZBL .
8. Alessandro Languasco - A partially Decentralised Protocol for a Distributed Encrypted Storage system - In Jose Bravo and Gabriel Urzaiz, editors, Proceedings of the 15th International Conference on Ubiquitous Computing & Ambient Intelligence (UCAmI 2023), pages 195--204, Cham, 2023. Springer Nature Switzerland
9. Alessandro Languasco - Numerical estimates on the Landau-Siegel zero and other related quantities - J. Number Theory 251 (2023), 185--209. Computational part. MR , ZBL .
10. Alessandro Languasco, M. Migliardi - On the fast computation of the Dirichlet-multinomial log-likelihood function - Comput. Stat. 38 (2023), 1995-2013. MR , ZBL .
11. Y. Lamzouri, Alessandro Languasco - Small values of | L'/L (1, χ) | - Exp. Math. 32 (2023), 362--377. Computational part. MR , ZBL .
12. Alessandro Languasco - A unified strategy to compute some special functions of number-theoretic interest - J. Number Theory 247 (2023), 118--161. Computational part. MR , ZBL .
13. A. Ciolan, Alessandro Languasco, P. Moree - Landau and Ramanujan approximations for divisor sums and coefficients of cusp forms - J. Math. Anal. Appl., 519 (2023), 1--48, paper n. 126854 Computational part , CodeOcean capsule. MR , ZBL .
14. Alessandro Languasco - On computing L'/L(1,χ) - Rend. Semin. Mat. Univ. Politec. Torino 80 (2022), 55--71. Proceeding of the 5th Number Theory Meeting, Università and Politecnico of Torino, October 26-27th, 2021. MR , ZBL .
15. Alessandro Languasco, T.S. Trudgian - Uniform effective estimates for | L (1, χ) | - J. Number Theory 236 (2022), 245--260. Computational part. MR , ZBL .
16. Alessandro Languasco, L. Righi - A fast algorithm to compute the Ramanujan-Deninger Gamma function and some number-theoretic applications - Math. Comp. 90 (2021), 2899--2921. Computational part. MR , ZBL .
17. Alessandro Languasco, A. Zaccagnini - Sum of one prime power and two squares of primes in short intervals - Rocky Mountain J. Math. 51 (2021), 213--224. MR , ZBL .
18. Alessandro Languasco - Numerical verification of Littlewood's bounds for |L(1,χ)| - J. Number Theory 223 (2021), 12--34. Computational part, Code Ocean capsule. MR , ZBL .
19. Alessandro Languasco - Efficient computation of the Euler-Kronecker constants for prime cyclotomic fields - Res. Number Theory 7 (2021), no. 1, Paper No. 2, Computational part, MR , ZBL .
20. Alessandro Languasco, A. Zaccagnini - Short intervals asymptotic formulae for binary problems with prime powers, II - J. Aust. Math. Soc. 109 (2020), 351--370. MR , ZBL .
21. M. Cantarini, A. Gambini, Alessandro Languasco, A. Zaccagnini - On an average ternary problem with prime powers - Ramanujan J. 53 (2020), 155--166. MR , ZBL .
22. Alessandro Languasco, A. Zaccagnini - Sums of four prime cubes in short intervals - Acta Math. Hung. 159 (2019), 150--163. MR , ZBL .
23. Alessandro Languasco, A. Zaccagnini - A Cesáro average for generalised Hardy-Littlewood numbers - Kodai Math. J. 42 (2019), 358--375. MR , ZBL .
24. Alessandro Languasco, A. Zaccagnini - A Cesáro average for an additive problem with prime powers - Proceedings of the conference “Number Theory Week”, Poznań, September 4–8, 2017. Banach Center Publications, Institute of Matehematics, Polish Academy of Sciences, Warszawa, volume 118, 2019, pp. 137--152. MR , ZBL .
25. Alessandro Languasco, A. Zaccagnini - Short intervals asymptotic formulae for binary problems with prime powers - J. Théor. Nombres Bordeaux 30 (2018), 609--635. MR , ZBL .
26. A. Gambini, Alessandro Languasco, A. Zaccagnini - A Diophantine approximation problem with two primes and one k-power of a prime - J. Number Theory 188 (2018), 210--228. MR , ZBL .
27. Alessandro Languasco, A. Zaccagnini - Il fascino discreto della Teoria dei Numeri - Sapere, gennaio-febbraio 2017, 22--26.
28. Alessandro Languasco, A. Zaccagnini - Cesáro average in short intervals for Goldbach numbers - Proc. Amer. Math. Soc. 145 (2017), 4175--4186. MR , ZBL .
29. Alessandro Languasco, A. Perelli, A. Zaccagnini - An extended pair-correlation conjecture and primes in short intervals - Trans. Amer. Math. Soc. 369 (2017), 4235--4250. MR , ZBL .
30. Alessandro Languasco, A. Zaccagnini - Short intervals asymptotic formulae for binary problems with primes and powers, I: density 3/2 - Ramanujan J. 42 (2017), 371--383. MR , ZBL .
31. Alessandro Languasco - Applications of some exponential sums on prime powers: a survey - Proceedings of the ``Terzo Incontro Italiano di Teoria dei Numeri", Scuola Normale Superiore, Pisa, 21-24 Settembre 2015. Rivista di Matematica della Università di Parma, volume 7, pages 19-37, 2016. MR , ZBL .
32. Alessandro Languasco, A. Zaccagnini - Short intervals asymptotic formulae for binary problems with primes and powers, II: density 1 - Monatsh. Math. 181 (2016), 419-435. MR , ZBL .
33. Alessandro Languasco, A. Perelli, A. Zaccagnini - An extension of the pair-correlation conjecture and applications - Math. Res. Lett. 23 (2016), 201-220. MR , ZBL .
34. Alessandro Languasco, A. Zaccagnini - Sum of one prime and two squares of primes in short intervals - J. Number Theory 159 (2016), 1945--1960. MR , ZBL .
35. Alessandro Languasco, A. Zaccagnini - A Diophantine problem with prime variables - In V. Kumar Murty, D. S. Ramana, and R. Thangadurai, editors, Highly Composite: Papers in Number Theory, Proceedings of the International Meeting on Number Theory, celebrating the 60th Birthday of Professor R. Balasubramanian (Allahabad, 2011), RMS-Lecture Notes Series, 2016, volume 23, pages 157-168. MR .
36. Alessandro Languasco, A. Zaccagnini - A Cesáro average of Goldbach numbers - Forum Math. 27(4) 2015, 1945--1960. MR , ZBL .
37. Alessandro Languasco - Numeri primi - Chapter 11 of the volume "Numeri tutto quello che conta, da zero a infinito", by C. Bartocci and L. Civalleri, pages 183-193, 2014. Codice Edizioni, Torino.
38. Alessandro Languasco, A. Zaccagnini - Explicit relations between primes in short intervals and exponential sums over primes - Funct. Approx. Comment. Math. 51 (2014), no. 2, 379--391. MR , ZBL .
39. Alessandro Languasco, A. Zaccagnini - On a ternary Diophantine problem with mixed powers of primes - Acta Arith. 159 (2013), no. 4, 345--362. MR , ZBL .
40. Alessandro Languasco, A. Zaccagnini - A Cesáro average of Hardy-Littlewood numbers - J. Math. Anal. Appl. 401 (2013), no. 2, 568--577. MR , ZBL .
41. Alessandro Languasco, A. Zaccagnini - A Diophantine problem with a prime and three squares of primes - J. Number Theory 132 (2012), no. 12, 3016--3028. MR , ZBL .
42. Alessandro Languasco, V. Settimi - On a Diophantine problem with one prime, two squares of primes and s powers of two - Acta Arith. 154 (2012), 385--412, Computational part, CodeOcean capsule. MR , ZBL .
43. Alessandro Languasco, A. Perelli, A. Zaccagnini - Explicit relations between pair correlation of zeros and primes in short intervals - J. Math. Anal. Appl. 394 (2012), 761--771. MR , ZBL .
44. Alessandro Languasco, A. Zaccagnini - Sums of many primes - J. Number Theory 132 (2012), no. 6, 1265--1283. MR , ZBL .
45. Alessandro Languasco, A. Zaccagnini - The number of Goldbach representations of an integer - Proc. Amer. Math. Soc. 140 (2012), no. 3, 795--804. MR , ZBL .
46. Alessandro Languasco, A. Zaccagnini - Computing the Mertens and Meissel-Mertens constants for sums over arithmetic progressions - with an Appendix by Karl. K. Norton - Exp. Math. 19.3 (2010), 279--284, Computational part, CodeOcean capsule #1 , CodeOcean capsule #2. Some computational results (with few digits) are also listed at the bottom of the arxiv preprint: see arxiv.org/abs/0906.2132 . MR , ZBL .
47. Alessandro Languasco, A. Zaccagnini - On a Diophantine problem with two primes and s powers of two - Acta Arith. 145 (2010), 193--208, Computational part. MR , ZBL .
48. Alessandro Languasco, A. Perelli, A. Zaccagnini - On the Montgomery-Hooley theorem in short intervals - Mathematika 56 (2010), 231--243. MR , ZBL .
49. Alessandro Languasco, A. Zaccagnini - On the constant in the Mertens formula for arithmetic progressions. I. Identities - Funct. Approx. Comment. Math. 42 (2010), 17--27. MR , ZBL .
50. D. Bazzanella, Alessandro Languasco, A. Zaccagnini - Prime numbers in logarithmic intervals - Trans. Am. Math. Soc., 362 (2010), 2667-2684. MR , ZBL .
51. Alessandro Languasco - A conditional result on the exceptional set for Hardy-Littlewood numbers in short intervals - Int. J. Number Theory 5 (2009), 933--951. MR , ZBL .
52. Alessandro Languasco, A. Zaccagnini - On the constant in the Mertens formula for arithmetic progressions. II. Numerical values - Math. Comp. 78 (2009), 315-326. Computational part, CodeOcean capsule. MR , ZBL .
53. Alessandro Languasco, A. Zaccagnini - On the Hardy-Littlewood problem in short intervals - Int. J. Number Theory 4 (2008), 715--723. MR , ZBL .
54. Alessandro Languasco, A. Zaccagnini - Some estimates for the average of the error term of the Mertens product for arithmetic progressions - Funct. Approx. Comment. Math. 38 (2008), 41--48. MR , ZBL .
55. Alessandro Languasco, J. Pintz, A. Zaccagnini - On the sum of two primes and k powers of two - Bull. London Math. Soc. 39 (2007), 771--780. MR , ZBL .
56. Alessandro Languasco, A. Zaccagnini - A note on Mertens' formula for arithmetic progressions - J. Number Theory 127 (2007), 37--46. MR , ZBL .
57. Alessandro Languasco - Primos Gemelos - La Voz de Almeria, Seccion Matematica, 2005. (pubblicato il 04/09/2005 in lingua spagnola, traduzione di Juan Cuadra Diaz).
58. Alessandro Languasco - On the sum of a prime and a k-free number - Funct. Approx. Comment. Math. 34 (2005), 19--26. MR , ZBL .
59. Alessandro Languasco - The exceptional set in short intervals for two additive problems with primes:  a survey in the Proceedings of the ``Secondo Incontro Italiano di Teoria dei Numeri'', Parma 2003, Italy, ed. by A. Zaccagnini et al, Riv. Mat. Univ. Parma 7 , (2004), 223--231. MR , ZBL .
60. Alessandro Languasco - On the exceptional set for Hardy-Littlewood's numbers in short intervals - Tsukuba J. Math. 28 (2004) 169--192. MR , ZBL .
    [R15]-Corrigendum Alessandro Languasco - Corrigendum to: On the exceptional set for Hardy-Littlewood's numbers in short intervals - Tsukuba J. Math. 30 (2006), 237--240. MR , ZBL .

61. Alessandro Languasco - On the exceptional set of Goldbach numbers in short intervals - Monatsh. Math. 141 (2004), 147--169. MR , ZBL .

62. Alessandro Languasco, A. Perelli - Crittografia e firma digitale - in "Matematica e Cultura: Arte, tecnologia e immagini", Bologna 2000, ed. da M.Emmer e M.Manaresi, Springer Verlag Italia, 2002, 99--106, (Italian). The english [R13eng] translation is published in ``Mathematics, Art, Technology, and Cinema'', Springer Verlag, 2003.
63. Alessandro Languasco, F. Menegazzo, M. Morigi - On the composition length of finite primitive linear groups - Arch. Math. 79 (2002), 408--417. MR , ZBL .

64. Alessandro Languasco, A. Perelli - Numeri primi e Crittografia - in "Matematica e Cultura 2000", Venice 1999, ed. by M.Emmer, Springer Verlag Italia, 2000, 227--233, (Italian). The english [R8eng] translation is published in ``Mathematics and Culture I'', Springer Verlag, 2003.

65. J. Kaczorowski, Alessandro Languasco, A. Perelli - A note on Landau's formula - Funct. Approx. Comment. Math. 28 (2000), 173--186. MR , ZBL .
66. Alessandro Languasco - An introduction to Cryptography - in "The Curves Seminar at Queen's", vol. 13, ed. by A.V. Geramita, Queen's Papers in Pure and Applied Mathematics, volume 119, (2000), 121--140.

67. Alessandro Languasco, A. Perelli - Pair correlation of zeros, primes in short intervals and exponential sums over primes - J. Number Theory 84 (2000), 292--304. MR , ZBL .

68. D. Bazzanella, Alessandro Languasco - On the asymptotic formula for Goldbach numbes in short intervals - Studia Sci. Math. Hungar. 36 (2000), 185--199. MR , ZBL .

69. Alessandro Languasco - Some refinements of error terms estimates for certain additive problems with primes - J. Number Theory 81 (2000), 149--161. MR , ZBL .

70. Alessandro Languasco - A note on primes and Goldbach numbers in short intervals - Acta Math. Hungar. 79 (1998), 191--206. MR , ZBL .

71. Alessandro Languasco - A singular series average and Goldbach numbers in short intervals - Acta Arith. 83 (1998), 171--179. MR , ZBL .

72. Alessandro Languasco - A conditional result on Goldbach numbers in short intervals - Acta Arith. 83 (1998), 93--103. MR , ZBL .

73. Alessandro Languasco, A. Perelli - A pair correlation hypothesis and the exceptional set in Goldbach's problem - Mathematika 43 (1996), 349--361. MR , ZBL .

74. Alessandro Languasco - Some results on Goldbach's problem - Proceedings of "Incontro Italiano di Teoria dei Numeri", Terza Università di Roma, 1995; Rend. Semin. Mat. Univ. Politec. Torino, 53 (1995), 325--337. MR , ZBL .

75. Alessandro Languasco, A. Perelli - On Linnik's theorem on Goldbach Numbers in short intervals and related problems - Ann. Inst. Fourier 44 (1994), 307--322. MR , ZBL .

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Articoli divulgativi (Papers on the popularisation of mathematics; in Italian)

[W4] Alessandro Languasco, A. Zaccagnini - Intervalli tra numeri primi consecutivi - Disponibile in rete presso il sito web Bocconi, 2005.

[W3] Alessandro Languasco, A. Zaccagnini - Esistono piccoli intervalli tra numeri primi consecutivi ! - Disponibile in rete presso il sito web Bocconi, 2005.

[W2] Alessandro Languasco, A. Zaccagnini - Alcune proprietà dei numeri primi, II - Disponibile in rete presso il sito web Bocconi, 2005.

[W1] Alessandro Languasco, A. Zaccagnini - Alcune proprietà dei numeri primi, I - Disponibile in rete presso il sito web Bocconi, 2005.

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Dissertations (in Italian)

[D1] Alessandro Languasco - Public Key Codes and Primality Tests - M. Sc. Dissertation (1989) (Italian).

[D2] Alessandro Languasco - The Goldbach Conjecture - Ph.D. Thesis (1995) (Italian).

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Lecture Notes (in Italian)

[LN1] Alessandro Languasco - Dispense di Analisi Matematica Uno - Manuscript (1999) (Italian).

[LN2] Alessandro Languasco - Dispense di Algebra Lineare, Geometria e Calcolo Differenziale in più variabil - Manuscript (2001) (Italian). Revised version for the academic year 2002-2003.

[LN3] B. Bruno, Alessandro Languasco - Dispense integrative per il Corso di Istituzioni di Analisi Matematica II - 2003 (Italian).

[LN4] Alessandro Languasco - Dispense di Metodi Matematici per la Statistica - 2004 (Italian).

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Ultimo aggiornamento: 25.04.2024: 09:41:02