My general interests are in the area of the analytic number theory, with a special focus on Selberg's class and automorphic functions, transcendence problems, and exponential sums. I have also an interest in other branches of Number Theory and in applications of Number Theory to non-traditional fields, for example to the special functions.
42 | S. Bettin, J. W. Bober, A. R. Booker, B. Conrey, M. Lee, G. Molteni, T. Oliver, D. J. Platt, R. S. Steiner,
A conjectural extension of Hecke's converse theorem.
to appear in Ramanujan J. (2018). Electronically published November 10, 2017.
Pdf. DOI. |
41 | L. Grenié, G. Molteni,
Explicit bounds for generators of the class group.
to appear in Math. Comp. (2017). Electronically published November 16, 2017
Pdf. DOI. |
40 | L. Grenié, G. Molteni,
Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH, II.
Funct. Approx. Comment. Math. 57(1), 21-38 (2017).
Pdf. Abstract. DOI. AMS Math. Review. |
39 | L. Grenié, G. Molteni, A. Perelli,
Primes and prime ideals in short intervals.
Mathematika 6(2), 364-371 (2017).
Pdf. Abstract. DOI. AMS Math. Review. |
38 | G. Molteni,
Primes and prime ideals in short intervals.
Boll. Unione Mat. Ital. 6(2), 364-371 (2016).
Pdf. Abstract. DOI. AMS Math. Review. |
37 | A. Dudek, L. Grenié, G. Molteni,
Primes in explicit short intervals on RH.
Int. J. Number Theory, 12(5), 1391-1407 (2016).
Pdf. Abstract. DOI. AMS Math. Review. |
36 | L. Grenié, G. Molteni,
Inequalities for the Beta function.
Math. Inequal. Appl., 18(4), 1427-1442 (2015).
Pdf. Abstract. AMS Math. Review. |
35 | L. Grenié, G. Molteni,
Explicit smoothed prime ideals theorems under GRH.
Math. Comp., 85(300), 1875-1899 (2016).
Pdf. Abstract. DOI. AMS Math. Review. Data and PARI-GP commands available here. |
34 | L. Grenié, G. Molteni,
Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH.
Math. Comp., 85(298), 889-906 (2016).
Pdf. Abstract. DOI. AMS Math. Review. Data and PARI-GP commands available here. |
33 | L. Grenié, G. Molteni,
Zeros of Dedekind zeta functions under GRH.
Math. Comp., 85(299), 1503-1522 (2016).
Pdf. Abstract. DOI. AMS Math. Review. |
32 | A. Giorgilli, G. Molteni,
Representation of a 2-power as sum of k 2-powers: a recursive formula.
J. Number Theory 133(4), 1251-1261 (2013).
Pdf. Abstract. DOI. AMS Math. Review. |
31 | J. Kaczorowski, G. Molteni,
Extremal values for the sum .
J. Number Theory 132(11), 2595-2603 (2012).
Pdf. Abstract. DOI. AMS Math. Review. |
30 | Y. Liu, Z. Lin, G. Molteni, D. Zhang,
Eigenvalues and Equivalent Transformation of A Trigonometric Matrix Associated with Filter Design.
Linear Algebra and Appl. 437(12), 2961--2972 (2012).
Pdf. Abstract. DOI. AMS Math. Review. |
29 | Z. Lin, Y. Liu, G. Molteni, D. Zhang,
Spectral properties for a new composition of a matrix and a complex representation.
Electron. J. Linear Algebra 23, 530-539 (2012).
Pdf. Abstract. DOI. AMS Math. Review. |
28 | G. Molteni,
Representation of a 2-power as sum of k 2-powers: the asymptotic behavior.
Int. J. Number Theory 8(8), 1923-1963 (2012).
Pdf. Abstract. DOI. AMS Math. Review. |
27 | G. Molteni,
Cancellation in a short exponential sum.
J. Number Theory. 130(9), 2011-2027 (2010).
Pdf. Abstract. DOI. AMS Math. Review. |
26 | G. Molteni,
Multiplicity results for the functional equation of the Dirichlet L-functions.
Acta Arith. 145(1), 43-70 (2010).
Pdf. Abstract. DOI. AMS Math. Review. |
25 | G. Molteni,
Multiplicity results for the functional equation of the Dirichlet L-functions: case p=2.
Acta Arith. 145(1), 71-81 (2010).
Pdf. Abstract. DOI. AMS Math. Review. |
24 | J. Kaczorowski, G. Molteni, A. Perelli,
A converse theorem for Dirichlet L-functions.
Comment. Math. Helv. 85(2), 463-483 (2010).
Pdf. Abstract. DOI. AMS Math. Review. |
23 | G. Molteni,
Factorization in the extended Selberg class of L-functions associated to modular forms.
Math. Nachr. 282(2), 232-242 (2009).
Pdf. Abstract. DOI. AMS Math. Review. |
22 | J. Kaczorowski, G. Molteni, A. Perelli,
Unique factorization results for semigroups of L-functions.
Math. Ann. 341(3), 517-527 (2008).
Pdf. Abstract. DOI. AMS Math. Review. |
21 | G. Molteni,
An explicit bound for the error term of the development at s=1 of a set of lacunary series.
Math. Inequal. Appl. 11(1), 173-188 (2008).
Pdf. Abstract. DOI. AMS Math. Review. |
20 | J. Kaczorowski, G. Molteni, A. Perelli,
Some remarks on the unique factorization in certain semigroups of classical L-functions.
Funct. Approx. Comment. Math. 37, 263-275 (2007).
Pdf. DOI. AMS Math. Review. |
19 | G. Molteni,
The behavior of for special .
Acta Math. Hun. 117(1--2), 61-76 (2007).
Pdf. Abstract. DOI. AMS Math. Review. |
18 | G. Molteni, J. Steuding,
(Almost) primitivity of Hecke L-functions.
Monatsh. Math. 152, 63-71 (2007).
Pdf. Abstract. DOI. AMS Math. Review. |
17 | J. Kaczorowski, G. Molteni, A. Perelli, J. Steuding, J. Wolfart,
Hecke's theory and the Selberg class,
Funct. Approx. Comment. Math. 35, 183-193 (2006).
Pdf. Abstract. DOI. AMS Math. Review. |
16 | G. Molteni, E. Serra, M. Tarallo, S. Terracini,
Asymptotic resonance, modes interaction and subharmonic bifurcation,
Arch. Ration. Mech. Anal. 182 (1), 77-123 (2006).
Pdf. Abstract. DOI. AMS Math. Review. |
15 | J. Kaczorowski, G. Molteni, A. Perelli,
Linear independence of L-functions,
Forum. Math. 18, 1-7 (2006).
Pdf. Abstract. DOI. AMS Math. Review. |
14 | G. Molteni,
About a question of Kannappan and Zhang,
Result. Math. 47, 130-131 (2005).
Pdf. Abstract. DOI. AMS Math. Review. |
13 | G. Molteni,
Limits of integrals involving almost periodic functions,
Result. Math. 46, 361-366 (2004).
Pdf. Abstract. DOI. AMS Math. Review. |
12 | G. Molteni,
General linear independence of a class of multiplicative functions,
Arch. Math. 83, 27-40 (2004).
Pdf. Abstract. DOI. AMS Math. Review. |
11 | G. Molteni,
Counting sets with exceptions,
Math. Inequal. Appl. 7, 161-164 (2004).
Pdf. Abstract. DOI. AMS Math. Review. |
10 | G. Molteni,
About two trigonometric matrices,
Riv. Mat. Univ. Parma, 7, 261-273 (2004).
Abstract. |
9 | G. Molteni,
About two trigonometric matrices,
Linear Algebra Appl., 382, 39-59 (2004).
Pdf. Abstract. DOI. AMS Math. Review. |
8 | G. Molteni,
Upper and lower bounds at s=1 for certain Dirichlet series with Euler product,
Duke Math. Journal 111, 133-158 (2002).
Pdf. Abstract. DOI. AMS Math. Review. |
7 | G. Molteni,
On the algebraic independence in the Selberg class,
Arch. Math., 79, 432-438 (2002).
Pdf. Abstract. DOI. AMS Math. Review. |
6 | G. Molteni,
Some arithmetical properties of the sequence and of its power series,
Acta Math. Hun., 90 (3), 133-140 (2001).
Pdf. Abstract. DOI. AMS Math. Review. |
5 | G. Molteni,
Existence of a non-entire twist for a class of L-functions,
Acta Arith., XCIII.1, 53-65 (2000).
Pdf. Abstract. AMS Math. Review. |
4 | J. Kaczorowski, G. Molteni, A. Perelli,
Linear independence in the Selberg class,
C. R. Math. Rep. Acad. Sci. Canada,
21, 28-32 (1999).
Pdf. Abstract. AMS Math. Review. |
3 | G. Molteni, L-functions: Siegel-type theorems and structure theorems, February 1999. This is my Ph.D. thesis. |
2 | G. Molteni,
A note on a result of Bochner ed Conrey-Ghosh about the Selberg class,
Arch. Math., 72, 219-222 (1999).
Pdf. Abstract. DOI. AMS Math. Review. |
1 | F. Prati, L. Zucchetti, G. Molteni,
Rotating patterns in Class-B lasers with cylindrical symmetry,
Physical Review A, 51 (5), 4093-4108 (1995).
Pdf. Abstract. DOI. |
L. Grenié, G. Molteni, An effective Chebotarev density theorem under GRH. Arxiv. | |
A. Dudek, L. Grenié, G. Molteni, Explicit short intervals for primes in arithmetic progressions on GRH. Arxiv. | |
L. Grenié, G. Molteni, An improvement to an algorithm of Belabas, Diaz y Diaz and Friedman. Arxiv. |
G. Molteni, Notes of the course Generators for the class group for the doctoral school 2016-2017 (Italian, handwritten). | |
G. Molteni, Notes of the course in Analytic Number Theory. | |
G. Molteni, Appunti per il corso di Teoria dei Numeri A.A.2003/04. | |
G. Molteni, Appunti per il corso di Teoria dei Numeri A.A.2002/03. | |
G. Molteni, Appunti per il corso di Teoria dei Numeri A.A.2001/02. |