Contact

All Stories

  1. The Kummer ratio of the relative class number for prime cyclotomic fields

    Article • Journal of Mathematical Analysis and Applications, October 2024, Elsevier

    Professor Alessandro Languasco

  2. Numerical estimates on the Landau-Siegel zero and other related quantities

    Article • Journal of Number Theory, October 2023, Elsevier

    Professor Alessandro Languasco

  3. A unified strategy to compute some special functions of number-theoretic interest

    Article • Journal of Number Theory, June 2023, Elsevier

    Professor Alessandro Languasco

  4. Landau and Ramanujan approximations for divisor sums and coefficients of cusp forms

    Article • Journal of Mathematical Analysis and Applications, March 2023, Elsevier

    Professor Alessandro Languasco

  5. A Partially Decentralised Protocol for a Distributed Encrypted Storage System

    Article • January 2023, Springer Science + Business Media

    Professor Alessandro Languasco

  6. On the fast computation of the Dirichlet-multinomial log-likelihood function

    Article • Computational Statistics, December 2022, Springer Science + Business Media

    Professor Alessandro Languasco

  7. Uniform effective estimates for |L(1,χ)|

    Article • Journal of Number Theory, July 2022, Elsevier

    Professor Alessandro Languasco

  8. Small Values of |L'/L(1,χ)|

    Article • Experimental Mathematics, September 2021, Taylor & Francis

    Professor Alessandro Languasco

  9. A fast algorithm to compute the Ramanujan-Deninger gamma function and some number-theoretic applications

    Article • Mathematics of Computation, August 2021, American Mathematical Society (AMS)

    Professor Alessandro Languasco

  10. Numerical verification of Littlewood's bounds for |L(1,χ)|

    Article • Journal of Number Theory, June 2021, Elsevier

    Professor Alessandro Languasco

  11. Sums of one prime power and two squares of primes in short intervals

    Article • Rocky Mountain Journal of Mathematics, February 2021, Rocky Mountain Mathematics Consortium

    Professor Alessandro Languasco

  12. Efficient computation of the Euler–Kronecker constants of prime cyclotomic fields

    Article • Research in Number Theory, December 2020, Springer Science + Business Media

    Professor Alessandro Languasco

  13. On an average ternary problem with prime powers

    Article • The Ramanujan Journal, June 2020, Springer Science + Business Media

    Professor Alessandro Languasco

  14. Sums of four prime cubes in short intervals

    Article • Acta Mathematica Hungarica, September 2019, Springer Science + Business Media

    Professor Alessandro Languasco

  15. A Cesàro average of generalised Hardy-Littlewood numbers

    Article • Kodai Mathematical Journal, June 2019, Tokyo Institute of Technology, Department of Mathematics

    Professor Alessandro Languasco

  16. SHORT INTERVALS ASYMPTOTIC FORMULAE FOR BINARY PROBLEMS WITH PRIME POWERS, II

    Article • Journal of the Australian Mathematical Society, April 2019, Cambridge University Press

    Professor Alessandro Languasco

  17. A Cesàro average for an additive problem with prime powers

    Article • Banach Center Publications, January 2019, Institute of Mathematics, Polish Academy of Sciences

    Professor Alessandro Languasco

  18. A Diophantine approximation problem with two primes and one k-th power of a prime

    Article • Journal of Number Theory, July 2018, Elsevier

    Professor Alessandro Languasco

  19. Short intervals asymptotic formulae for binary problems with prime powers

    Article • Journal de Théorie des Nombres de Bordeaux, January 2018, Cellule MathDoc/CEDRAM

    Professor Alessandro Languasco

  20. Cesàro average in short intervals for Goldbach numbers

    Article • Proceedings of the American Mathematical Society, May 2017, American Mathematical Society (AMS)

    Professor Alessandro Languasco

  21. An extended pair-correlation conjecture and primes in short intervals

    Article • Transactions of the American Mathematical Society, December 2016, American Mathematical Society (AMS)

    Professor Alessandro Languasco

  22. Short intervals asymptotic formulae for binary problems with primes and powers, I: density 3/2

    Article • The Ramanujan Journal, August 2016, Springer Science + Business Media

    Professor Alessandro Languasco

  23. Sum of one prime and two squares of primes in short intervals

    Article • Journal of Number Theory, February 2016, Elsevier

    Professor Alessandro Languasco

  24. Short intervals asymptotic formulae for binary problems with primes and powers, II: density 1

    Article • Monatshefte für Mathematik, January 2016, Springer Science + Business Media

    Professor Alessandro Languasco

  25. An extension of the pair-correlation conjecture and applications

    Article • Mathematical Research Letters, January 2016, International Press of Boston

    Professor Alessandro Languasco

  26. A Cesàro average of Goldbach numbers

    Article • Forum Mathematicum, January 2015, De Gruyter

    Professor Alessandro Languasco

  27. Explicit relations between primes in short intervals and exponential sums over primes

    Article • Functiones et Approximatio Commentarii Mathematici, December 2014, Adam Mickiewicz University (Euclid)

    Professor Alessandro Languasco

  28. A Cesàro average of Hardy–Littlewood numbers

    Article • Journal of Mathematical Analysis and Applications, May 2013, Elsevier

    Professor Alessandro Languasco

  29. On a ternary Diophantine problem with mixed powers of primes

    Article • Acta Arithmetica, January 2013, Institute of Mathematics, Polish Academy of Sciences

    Professor Alessandro Languasco

  30. A Diophantine problem with a prime and three squares of primes

    Article • Journal of Number Theory, December 2012, Elsevier

    Professor Alessandro Languasco

  31. Explicit relations between pair correlation of zeros and primes in short intervals

    Article • Journal of Mathematical Analysis and Applications, October 2012, Elsevier

    Professor Alessandro Languasco

  32. Sums of many primes

    Article • Journal of Number Theory, June 2012, Elsevier

    Professor Alessandro Languasco

  33. The number of Goldbach representations of an integer

    Article • Proceedings of the American Mathematical Society, March 2012, American Mathematical Society (AMS)

    Professor Alessandro Languasco

  34. On a diophantine problem with one prime, two squares of primes and s powers of two

    Article • Acta Arithmetica, January 2012, Institute of Mathematics, Polish Academy of Sciences

    Professor Alessandro Languasco

  35. ON THE MONTGOMERY–HOOLEY THEOREM IN SHORT INTERVALS

    Article • Mathematika, May 2010, Wiley

    Professor Alessandro Languasco

  36. On the constant in the Mertens product for arithmetic progressions. I. Identities

    Article • Functiones et Approximatio Commentarii Mathematici, March 2010, Adam Mickiewicz University (Euclid)

    Professor Alessandro Languasco

  37. Computing the Mertens and Meissel–Mertens Constants for Sums over Arithmetic Progressions

    Article • Experimental Mathematics, January 2010, Taylor & Francis

    Professor Alessandro Languasco

  38. On a Diophantine problem with two primes and s powers of two

    Article • Acta Arithmetica, January 2010, Institute of Mathematics, Polish Academy of Sciences

    Professor Alessandro Languasco

  39. Prime numbers in logarithmic intervals

    Article • Transactions of the American Mathematical Society, November 2009, American Mathematical Society (AMS)

    Professor Alessandro Languasco

  40. On the constant in the Mertens product for arithmetic progressions. II: Numerical values

    Article • Mathematics of Computation, January 2009, American Mathematical Society (AMS)

    Professor Alessandro Languasco

  41. Some estimates for the average of the error term of the Mertens product for arithmetic progressions

    Article • Functiones et Approximatio Commentarii Mathematici, January 2008, Adam Mickiewicz University (Euclid)

    Professor Alessandro Languasco

  42. A note on Mertens' formula for arithmetic progressions

    Article • Journal of Number Theory, November 2007, Elsevier

    Professor Alessandro Languasco

  43. On the sum of two primes and k powers of two

    Article • Bulletin of the London Mathematical Society, August 2007, Wiley

    Professor Alessandro Languasco

  44. Corrigendum to: On the exceptional set of Hardy-Littlewood's numbers in short intervals

    Article • Tsukuba Journal of Mathematics, June 2006, Institute of Mathematics, University of Tsukuba

    Professor Alessandro Languasco

  45. On the Exceptional Set of Goldbach?s Problem in Short Intervals

    Article • Monatshefte für Mathematik, February 2004, Springer Science + Business Media

    Professor Alessandro Languasco

  46. On the composition length of finite primitive linear groups

    Article • Archiv der Mathematik, December 2002, Springer Science + Business Media

    Professor Alessandro Languasco

  47. Pair Correlation of Zeros, Primes in Short Intervals and Exponential Sums over Primes

    Article • Journal of Number Theory, October 2000, Elsevier

    Professor Alessandro Languasco

  48. Some Refinements of Error Terms Estimates for Certain Additive Problems with Primes

    Article • Journal of Number Theory, March 2000, Elsevier

    Professor Alessandro Languasco

  49. A pair correlation hypothesis and the exceptional set in Goldbach's problem

    Article • Mathematika, December 1996, Wiley

    Professor Alessandro Languasco

  50. On Linnik's theorem on Goldbach numbers in short intervals and related problems

    Article • Annales de l’institut Fourier, January 1994, Cellule MathDoc/CEDRAM

    Professor Alessandro Languasco