RICERCA ITALIANA     

Programmi di ricerca simili:

• 1 - PROBLEMI DIOFANTEI E ANALITICI IN TEORIA DEI NUMERI
• 2 - Analisi matematica nei problemi inversi
• 3 - Spazi di Moduli e Teoria di Lie
• 4 - ANALISI NELLO SPAZIO DELLE FASI PER EQUAZIONI A DERIVATE PARZIALI
• 5 - ANALISI NELLE SPAZIO DELLE FASI PER EQUAZIONI A DERIVATE PARZIALI
• 6 - VARIETA' ALGEBRICHE,TEORIA DEI MOTIVI E GEOMETRIA ARITMETICA
• 7 - Problemi variazionali con scale multiple
• 8 - Calcolo delle Variazioni
• 9 - Modelli ed applicazioni della monotonia generalizzata
• 10 - Teoria Matematica del Controllo: Controllabilita`, Ottimizzazione, Stabilita`

Classificazione scientifico-disciplinare

• Area scientifico disciplinare: Scienze matematiche e informatiche
  • ALGEBRA
  • GEOMETRIA
  • ANALISI MATEMATICA

Classificazione brevettuale

• PHYSICS
  • COMPUTING; CALCULATING; COUNTING (score computers for games A63; combinations of writing applicances with computing devices B43K29/08)
    • ANALOGUE COMPUTERS (analogue optical computing devices G06E3/00)
    • COMPUTER SYSTEMS BASED ON SPECIFIC COMPUTATIONAL MODELS [N0004]

Classificazione geografica

• Regione: Liguria

Bibliografia

[1] E.Bombieri, A.Perelli - Normal distribution of zeta functions and applications - in "Analytic Number Theory" ed. Y. Motohashi, p. 31-41, Cambridge U.P. 1997.
[2] E.Bombieri, A.Perelli - Distinct zeros of L-functions - Acta Arith. 83 (1998), 271-281.
[3] A.Balog, A.Perelli - On the L^1 mean of the exponential sum formed with the Mobius function - J. London Math. Soc. 57 (1998), 275-288.
[4] J.Kaczorowski, A.Perelli - Functional independence of the singularities of a class of Dirichlet series - American J. Math. 120 (1998), 289-303.
[5] J.Brudern, A.Perelli - Goldbach numbers in sparse sequences - Ann. Inst. Fourier 48 (1998), 353-378.
[6] J.Brudern, A.Granville, A.Perelli, R.C.Vaughan, T.D.Wooley - On the exponential sum over k-free numbers - Phil. Trans. Royal Soc. London A 356 (1998), 739-761.
[7] J.Kaczorowski, G.Molteni, A.Perelli - Linear independence in the Selberg class - C.R. Math. Rep. Sci. Canada 21 (1999), 28-32.
[8] M.R.Murty, A.Perelli - The pair correlation of zeros of functions in the Selberg class - Int. Math. Res. Not. 1999, 531-545.
[9] J.Kaczorowski, A.Perelli - On the structure of the Selberg class, I: 0 < d < 1 - Acta Math. 182 (1999), 207-241.
[10] J.Brudern, A.Perelli - Exponential sums and additive problems involving square-free numbers - Annali Scuola Normale Pisa (4) 28 (1999), 591-613.
[11] D.Bazzanella, A.Perelli - The exceptional set for the number of primes in short intervals - J. Number Theory 80 (2000), 109-124.
[12] J.Kaczorowski, A.Perelli - On the structure of the Selberg class, II: invariants and conjectures - J. reine angew. Math. 524 (2000), 529-554.
[13] J.Kaczorowski, A.Perelli - On the structure of the Selberg class, III: Sarnak's rigidity conjecture - Duke Math. J. 101 (2000), 529-554.
[14] A.Languasco, A Perelli - Pair correlation of zeros, primes in short intervals and exponential sums over primes - J. Number Theory 84 (2000), 292-304.
[15] J.Brudern, A.Perelli, T.D.Wooley - Twins of k-free numbers and their exponential sum - Michigan Math. J. 47 (2000), 173-190.
[16] J.Kaczorowski, A.Perelli - Strong multiplicity one for the Selberg class - C. R. Acad. Sci. Paris 332 (2001), 963-968.
[17] E.Bombieri, A.Perelli - Zeros and poles of Dirichlet series - Rend. Acc. Naz. Lincei (9) 12 (2001), 69-73.
[18] J.Kaczorowski, A.Perelli - On the structure of the Selberg class, IV: basic invariants - Acta Arith. 104 (2002), 97-116.
[19] J.Kaczorowski, A.Perelli - On the prime number theorem for the Selberg class - Arch. Math. 80 (2003), 255-263.
[20] J.Kaczorowski, A.Perelli - On the structure of the Selberg class, V: 1 < d < 5/3 - Invent. Math. 150 (2002), 485-516.
[21] J.Kaczorowski, A.Perelli - On the structure of the Selberg class, VI: non-linear twists - to appear in Acta Arith..
[22] J.Kaczorowski, G.Molteni, A.Perelli - Linear independence of L-functions - to appear.
[23] E.Carletti, G.Monti Bragadin - On Schoemlich series associated with certain Dirichlet series - Manuscripta Math. 97 (1998), 117-133.
[24] A.Languasco - A conditional result on Goldbach numbers in short intervals - Acta Arith. 83 (1998), 93-103.
[25] A.Languasco - A singular series average and Goldbach numbers in short intervals - Acta Arith. 83 (1998), 171-179.
[26] A.Languasco - Some refinements of error terms estimates for certain additive problems with primes - J. Number Theory 81 (2000), 149-161.
[27] A.Languasco - On the exceptional set of Goldbach numbers in short intervals - Monats. Math. 141 (2004), 147-169.
[28] A.Languasco - On the exceptional set for Hardy-Littlewood's numbers in short intervals - to appear in Tsukuba J. Math..
[29] A.Zaccagnini - Primes in almost all short intervals - Acta Arith. 84 (1998), 225-244.
[30] A.Zaccagnini - A conditional density theorem for the zeros of the Riemann zeta-function - Acta Arith. 93 (2000), 293-301.
[31] A.Zaccagnini - A note on the sum of a prime and a polynomial - Quart. J. Math. Oxford 52 (2001), 519-524.
[32] R.Bagnara, A.Zaccagnini, T.Zolo - The automatic solution of recurrence relations. I. Linear recurrences of finite order with constant coefficients - to appear.
[33] R.Bagnara, A.Zaccagnini - Checking and bounding the solutions of some recurrence relations - to appear.
[34] G.Molteni - Upper and lower bounds at s = 1 for certain Dirichlet series with Euler product - Duke Math. J. 111 (2002), 133-158.
[35] D.Bazzanella - Primes in almost all short intervals II - Boll. U.M.I. (8) 3-B (2000), 717-726.
[36] A.Diaconu, A.Perelli, A.Zaharescu - A note on $GL_2$ converse theorems - C. R. Acad. Sci. Paris 334 (2002), 621-624.
[37] Amoroso F., Dvornicich R. - A lower bound for the height in abelian extensions - J. Number Theory 80 (2000), 260-272.
[38] Amoroso F., Dvornicich R. - Lower bounds for the height and size of the ideal class group in CM-fields - Monatsh. Math. 138 (2003), 85-94.
[39] Amoroso F., Viola C. - Approximation measures for logarithms of algebraic numbers - Ann. Scuola Norm. Sup. Pisa (4) 30 (2001), 225-249.
[40] Bandini A. - Greenberg's conjecture for $Z_p^d$-extensions - Acta Arith. 108 (2003), 357-368.
[41] Bandini A. - Three-descent and the Birch and Swinnerton-Dyer conjecture - Rocky Mountains J. Math. 34 (2004), 13-27.
[42] Del Corso I., Dvornicich R. - Number fields with the same index - Acta Arith. 102 (2002), 323-337.
[43] Dvornicich R., Tung S.P., Zannier U. - On polynomials taking small values at integral arguments II - Acta Arith. 106 (2003), 115-121.
[44] Dvornicich R., Zannier U. - Local-global divisibility of rational points in some commutative algebraic groups - Bull. Soc. Math. France 129 (2001), 317-338.
[45] Dvornicich R., Zannier U. - An analogue for elliptic curves of the Grunwald-Wang example - C. R. Acad. Sci. Paris (I) 338 no. 1 (2004), 47-50.
[46] Fischler S. - Groupes de Rhin-Viola et integrales multiples - J. Theor. Nombres Bordeaux 15 (2003), 479-534.
[47] Rhin G., Viola C. - The group structure for $zeta(3)$ - Acta Arith. 97 (2001), 269-293.
[48] Viola C. - Hypergeometric functions and irrationality measures - in: Analytic Number Theory (Y. Motohashi, ed.), London Math. Soc. Lecture Note Series 247 (1997), 353-360.
[49] P. Corvaja, U. Zannier - Diophantine Equations with power sums and Universal Hilbert Sets - Indagationes Math. N.S. 9 (3), 317-332 (1998).
[50] P. Corvaja, U. Zannier - Finiteness of integral values for the ratio of two linear recurrences - Inventiones Mathematicae, 149, 431-451 (2002).
[51] P. Corvaja, U.Zannier - On the greatest prime factor of $(ab+1)(ac+1)$ - Proc. AMS, 131, 1705-1709 (2003).
[52] F.Amoroso, S.David - Minoration de la hauteur normalis'ee dans un tore - Journal de l'Institut de Math'ematiques de Jussieu, (2), (2003), 335-381.
[53] E.Bombieri, U.Zannier - A note on heights in certain infinite extensions of Q - Rend.Mat.Acc.Lincei 12 (2001),5-14.
[54] P.Corvaja, U.Zannier - A Subspace Theorem Approach to Integral Points on Curves - Comptes Rendus Acad. Sci. Paris, Ser I, 334 (2002), 267-271.
[55] E.Bombieri,D.Masser,U.Zannier - Finiteness results for multiplicatively dependent points on complex curves - submitted.
[56] E. Bombieri, J. Mueller, U. Zannier - Equations in one variable over function fields - Acta Arithmetica, 99 (2001), 27-39.
[57] P. Corvaja, U. Zannier - On the number of integral points on algebraic curves - Journal reine angew. Math. 565, 27-42 (2003).
[58] P. Corvaja, U. Zannier - On the length of the continued fraction for values of quotients of power sums - preprint (2003).
[59] P. Corvaja, U. Zannier - On a general Thue's equation - to appear on American Journal of Math.
[60] P. Corvaja, U. Zannier - On integral points on curves - to appear on Annals of Math.
[61] P. Corvaja, U. Zannier - A lower bound for the heght of a rational function at $S$-unit points - preprint (2003).
[62] U. Zannier - On the number of integral solutions of exponential equations over function fields, preprint 2003 - accepted by Annales de l'Institut Fourier.

Parole Chiave

FUNZIONI L; PROBLEMI DIOFANTEI ADDITIVI; RICORRENZE; MISURE D'IRRAZIONALITA'; ALTEZZE; CAMPI LOCALI; APPROSSIMAZIONE DIOFANTEA; GEOMETRIA ARITMETICA; COOMOLOGIA DI GALOIS