Selected research papers:
(ordered by authors, and chronologically on each author. Last general update in
2005)
Chamizo, F.; Iwaniec, H .
On the sphere problem. Rev. Mat. Iberoamericana 11 (1995), no. 2,
417--429.
Chamizo, F. The large sieve in Riemann surfaces.
Acta Arith. 77 (1996), no. 4, 303--313.
Chamizo, F. Some applications of large sieve in
Riemann surfaces. Acta Arith. 77 (1996), no. 4, 315--337.
Chamizo, F.; Iwaniec, H . Estimates
for L-functions associated with some elliptic curves.
Symposium on Diophantine Problems (Boulder,
CO, 1994). Rocky Mountain J. Math. 26 (1996), no. 3, 951--958.
Chamizo, F. Sums of squares in Z[√k].
J. Théor. Nombres Bordeaux 9 (1997), no. 1, 25--39.
Chamizo, F. Lattice points in bodies of revolution.
Acta Arith. 85 (1998), no. 3, 265--277.
Chamizo, F.; Iwaniec, H . On the Gauss mean-value
formula for class number. Nagoya Math. J. 151 (1998), 199--208.
Chamizo, F.; Pomyka\l a, J. Distribution of zeros of
twisted automorphic $L$-functions with large level. Math. Z. 229
(1998), no. 4, 575--588.
Chamizo, F. Correlated sums of r(n). J.
Math. Soc. Japan 51 (1999), no. 1, 237--252.
Chamizo, F.; Córdoba, A..
Differentiability and dimension of some fractal Fourier series. Adv.
Math. 142 (1999), no. 2, 335--354.
Chamizo, F. ; Córdoba, A. A path integral
approach to lattice point problems. J. Math. Pures Appl. (9) 81 (2002),
no. 10,
957--966.
Chamizo, F. Automorphic forms and differentiability
properties. Trans. Amer. Math. Soc. 356 (2004), no. 5, 1909--1935.
Chamizo, F. Non-Euclidean visibility
problems. Proc. Indian Acad. Sci. Math. Sci. 116 (2006), no. 2, 147--160.
Chamizo, F. ; Ubis, A. An average formula for the class number. Acta Arith. 122 (2006), no. 1, 75-90.
Chamizo, F. ; Ubis, A. Some Fourier
series with gaps. (To appear in
Journal d'Analyse Mathématique) Preprint 2005.
Chamizo, F. ; Cristóbal, E.; Ubis, A.
Visible points in the sphere (to appear in the Journal of Number Theory) Preprint 2005.
Cilleruelo, J.
Arcs containing no three lattice points . Acta
Arith. 59 (1991), no. 1, 87--90.
Cilleruelo, J; Córdoba, A.
Trigonometric polynomials and lattice points . Proc. Amer.
Math. Soc. 115 (1992), no. 4, 899 905.
Cilleruelo, J.
The distribution of the lattice points on circles , J. Number
Theory 43 (1993), 198-202.
Cilleruelo, J; Córdoba, A. Lattice points
on ellipses . Duke
Math. J. 76 (1994), no. 3, 741--750
Cilleruelo, J. $B\sb
2[g]$ sequences whose terms are squares . Acta Math. Hungar.
67 (1995), no. 1-2, 79--83.
Cilleruelo, J. ; Jiménez-Urroz,
J.
Lattice points on hyperbolas . J. Number Theory 63 (1997),
no. 2, 267--274.
Cilleruelo, J. ; Jiménez-Urroz, J. Divisors in
a Dedekind domain . Acta Arith. 85 (1998), no. 3, 229--233.
Cilleruelo, J. An upper
bound for $B\sb 2[2]$ sequences . J. Combin. Theory Ser. A 89
(2000), no. 1, 141--144.
Cilleruelo, J. Gaps in dense
Sidon sets. Integers (2000), A11, 6pp.
Cilleruelo, J. ; Jiménez-Urroz,
J. The
hyperbola $xy=N$ . J. Théor. Nombres Bordeaux 12
(2000), no. 1, 87--92.
Cilleruelo, J. ; Jiménez-Urroz,
J. $B\sb
h[g]$ sequences . Mathematika 47 (2000), no. 1-2, 109--115
(2002).
Cilleruelo, J. New
upper bounds for finite $B\sb h$ sequences . Adv. Math. 159
(2001), no. 1, 1--17.
Cilleruelo, J. ; Trujillo, C. Infinite $B\sb
2[g]$ sequences . Israel J. Math. 126 (2001), 263--267.
Cilleruelo, J. ; Sols, I. The Severi bound on
sections of rank two semistable bundles on a Riemann surface. Ann. of
Math. (2) 154 (2001), no. 3, 739--758.
Cilleruelo, J .
Lattice points on circles . J. Aust. Math. Soc. 72 (2002),
no. 2, 217--222.
Cilleruelo, J. ; Ruzsa, I. Z. ; Trujillo, Carlos .
Upper and lower bounds for finite $B\sb h[g]$ sequences . J.
Number Theory 97 (2002), no. 1, 26--34.
Cilleruelo, J. ; Ruzsa, I. Z. Real and
$p$-adic Sidon sequences
. Acta Sci. Math. (Szeged) 70 (2004), no. 3-4, 505--510.
Cilleruelo, J. The
additive complection of k-th powers . J. Number
Theory 44 (1993), no. 3, 237--243.
Cilleruelo, J. ; Tenenbaum, G. An
overlapping theorem with applications . Preprint 2005.
Cameron, P.J.; Cilleruelo, J. ; Serra, O.
On monochromatic solutions of equations in groups
. Preprint 2005.
Balodis, P. ; Córdoba, A. The
convergence of multidimensional
Fourier-Bessel series. J. Anal. Math. 77 (1999), 269--286.
Brummelhuis, R. ; Córdoba, A. ;
Quintanilla, M. ;
Seco, L. Principal component value at risk. Math. Finance 12 (2002),
no. 1, 23--43.
Caffarelli, L. A. ; Córdoba, A.. Uniform
convergence of a singular perturbation problem. Comm. Pure Appl. Math.
48 (1995), no. 1, 1--12.
Chae, Dongho ; Córdoba, A.;
Córdoba, D.; Fontelos, Marco A. Finite time singularities in
a 1D model of the quasi-geostrophic equation. Adv. Math. 194 (2005),
no. 1, 203--223.
Chamizo, F.; Córdoba, A..
Differentiability and dimension of some fractal Fourier series. Adv.
Math. 142 (1999), no. 2, 335--354.
Chamizo, F. ; Córdoba, A. A path
integral approach to lattice point problems. J. Math. Pures Appl. (9)
81 (2002), no. 10, 957--966.
Córdoba, A.; Fefferman, C.L. ; Seco, L.
A. Weyl sums and atomic energy oscillations. Rev. Mat. Iberoamericana
11 (1995), no. 1, 165--226.
Córdoba, A.; Fefferman, C.L. ; Seco, L.
A. A number-theoretic estimate for the Thomas-Fermi density. Comm.
Partial Differential Equations 21 (1996), no. 7-8, 1087--1102.
Córdoba, A.; Fernández, P.
Convergence and divergence of decreasing rearranged Fourier series.
SIAM J. Math. Anal. 29 (1998), no. 5, 1129--1139.
Cordoba, A.; Cordoba, D.; Fefferman, C.; Fontelos, M. A. Drops: the
collapse of capillary jets. Proc. Natl. Acad. Sci. USA 99 (2002), no.
17, 11006--11007.
Córdoba, A.; Córdoba, D. A
pointwise estimate for fractionary derivatives with applications to
partial differential equations. Proc. Natl. Acad. Sci. USA 100 (2003),
no. 26, 15316--15317.
Córdoba, A. ; Córdoba, D. ;
Fefferman, C. L. ; Fontelos, M. A. A geometrical constraint for
capillary jet breakup. Adv. Math. 187 (2004), no. 1, 228--239.
Córdoba, A.; Córdoba, D. A
maximum principle applied to quasi-geostrophic equations. Comm. Math.
Phys. 249 (2004), no. 3,
511--528.
Chamizo,
F. ; Cristóbal, E.; Ubis, A.
Visible points in the sphere (to appear in the Journal of Number Theory) Preprint 2005.
Córdoba,
A.; Fernández, P. Convergence and
divergence
of decreasing rearranged Fourier series. SIAM J. Math. Anal. 29 (1998),
no. 5, 1129--1139.
Andrews, G. E. ; Jiménez-Urroz , J. ;
Ono, Ken . $q$-series
identities and values of certain $L$-functions. Duke Math. J. 108
(2001), no. 3, 395--419.
Cilleruelo, J. ; Jiménez-Urroz, J. .
Lattice points
on hyperbolas. J. Number Theory 63 (1997), no. 2, 267--274.
Cilleruelo, J. ; Jiménez-Urroz, J. .
Divisors in a Dedekind domain. Acta Arith. 85 (1998), no. 3, 229--233.
Cilleruelo, J. ; Jiménez-Urroz, J. . The
hyperbola $xy=N$. J. Théor. Nombres Bordeaux 12 (2000), no.
1, 87--92.
Cilleruelo, J. ; Jiménez-Urroz, J. .
$B\sb h[g]$ sequences. Mathematika 47 (2000), no. 1-2, 109--115 (2002).
Coogan, Gwynneth ; Jiménez-Urroz, J. .
Mordell-Weil ranks of quadratic twists of pairs of elliptic curves. J.
Number Theory 96 (2002), no. 2, 388--399.
Granville, Andrew ; Jiménez-Urroz, J. .
The least
common multiple and lattice points on hyperbolas. Q. J. Math. 51
(2000), no. 3, 343--352.
Jimenez-Urroz, J. . Non-trivial zeroes for quadratic
twists of Hasse-Weil $L$-functions. J. Number Theory 77 (1999), no. 2,
331--335.
Jiménez-Urroz, J. . A note on a
conjecture of Erdös and Rosenfeld. J. Number Theory 78 (1999),
no. 1, 140--143.
Jimenez Urroz, J. ; Ono, K. On "good" half-integral
weight modular forms. Math. Res. Lett. 7 (2000), no. 2-3, 205--212.
Jimenez-Urroz, J. ; Yang, T. Heegner zeros of theta
functions. Trans. Amer. Math. Soc. 355 (2003), no. 10, 4137--4149.
Urroz, J. Jimenez . Congruences for the partition
function in certain arithmetic progressions. Discrete Math. 211 (2000),
no. 1-3, 275--280
Le
Stum, B. ; Quirós, A. Transversal
crystals of finite
level. Ann. Inst. Fourier (Grenoble) 47 (1997), no. 1, 69--100.
Le Stum, Bernard ; Quirós, A. The exact
Poincaré lemma in crystalline cohomology of higher level. J.
Algebra 240 (2001), no. 2, 559--588.
Elsner,
C. ; Sander, J. W. ; Steuding, J.
Kettenbrüche als
Summen ebensolcher. [Continued fractions as sums of the same] Math.
Slovaca 51 (2001), no. 3, 281--293.
Garunkshtis, R. ; Laurinchikas, A. ; Steuding, I.
An approximate functional equation for the Lerch zeta
function.(Russian) Mat. Zametki 74 (2003), no. 4, 494--501; translation
in Math. Notes 74 (2003), no.
3-4, 469--476
Garunkshtis, R. ; Steuding, J. Twists of Lerch
zeta-functions. Liet. Mat. Rink. 41 (2001), no. 2, 172--182;
translation in Lithuanian Math. J. 41 (2001), no. 2, 135--142
Garunkshtis, Ramunas ; Steuding, J. On the zero
distributions of Lerch zeta-functions. Analysis (Munich) 22 (2002), no.
1, 1--12.
Garunkshtis, Ramunas ; Laurinchikas,
A.; Slezeviciene, R.; Steuding, J. On the
universality of Estermann zeta-functions. Analysis (Munich) 22 (2002),
no. 3, 285--296.
Garunkshtis, Ramunas ; Steuding, J. Do Lerch
zeta-functions satisfy the Lindelöf hypothesis? Analytic and
probabilistic methods in number theory (Palanga, 2001), 61--74, TEV,
Vilnius, 2002.
Garunkshtis, R. ; Laurinchikas, A. ; Steuding,
J. On
the mean square of Lerch zeta-functions. Arch. Math. (Basel) 80 (2003),
no. 1, 47--60.
Girondo, Ernesto ; Steuding, J. Effective estimates
for the distribution of values of Euler products. Monatsh. Math. 145
(2005), no. 2, 97--106.
Kacinskaite, R. ; Steuding, J; Siauciunas,
D.; Slezeviciene, R. On polynomials in Dirichlet series.
Fiz. Mat. Fak. Moksl. Semin. Darb. 7 (2004), 26--32.
Laurinchikas, A. ; Steuding, I. A multidimensional
limit
theorem for general Dirichlet series.(Russian) Liet. Mat. Rink. 42
(2002), no. 2, 205--217; translation in Lithuanian Math. J. 42 (2002),
no.
2, 163--173
Laurinchikas, A. ; Matsumoto, K. ; Steuding, J. The
universality of $L$-functions associated with newforms. (Russian) Izv.
Ross. Akad. Nauk Ser. Mat. 67 (2003), no. 1, 83--98; translation in
Izv. Math. 67 (2003), no. 1, 77--90
Laurinchikas, A. ; Steuding, J. A brief remark on
the
Lindelöf hypothesis.(Russian) Liet. Mat. Rink. 43 (2003), no.
1, 59--64; translation in Lithuanian Math. J. 43 (2003), no. 1, 51--55
Laurinchikas, A. ; Steuding, J. On the mean-square
of
the Lerch zeta function near the critical line.(Russian) Liet. Mat.
Rink. 43 (2003), no. 2, 213--226; translation in Lithuanian Math. J. 43
(2003), no. 2, 176--188
Laurinchikas, A. ; Schwarz, W. ; Steuding, J. Value
distribution of general Dirichlet series. III. Analytic and
probabilistic methods in number theory (Palanga, 2001), 137--156, TEV,
Vilnius, 2002.
Laurinchikas, A.; Schwarz, Wolfgang ; Steuding, J.
The
universality of general Dirichlet series. Analysis (Munich) 23 (2003),
no. 1, 13--26.
Laurinchikas, A. ; Steuding, J. On zeta-functions
associated to certain cusp forms. I. Cent. Eur. J. Math. 2 (2004), no.
1, 1--18.
Laurinchikas, A.; Steuding, J. A note on moments of
$\zeta'(1/2+i\gamma)$. Publ. Inst. Math. (Beograd) (N.S.) 76(90)
(2004), 57--63.
Slezeviciene, R. ; Steuding, J. On the zeros of the
Estermann zeta-function. Integral Transforms Spec. Funct. 13 (2002),
no. 4, 363--371.
Slezeviciene, R.; Steuding, J. Short series over
simple zeros of the Riemann zeta-function. Indag. Math. (N.S.) 15
(2004), no. 1, 129--132.
Slezeviciene, R. ; Steuding, J. On exponential
sums related to the circle problem. Ukraïn. Mat. Zh. 56
(2004), no. 10, 1405--1418; translation in Ukrainian Math. J. 56
(2004), no.
10, 1676--1692 (2005)
Steuding, J. Große Werte der Riemannschen
Zetafunktion auf rektifizierbaren Kurven im kritischen
Streifen.(German) [Large values of the Riemann zeta function on
rectifiable curves in the critical strip] Arch. Math. (Basel) 70
(1998), no. 5, 371--376.
Steuding, J. On the value distribution of Hurwitz
zeta-functions at the nontrivial zeros of the Riemann zeta-function.
Abh. Math. Sem.
Univ. Hamburg 71 (2001), 113--121.
Steuding, J. A note on the horizontal distribution
of the zeros of Lerch zeta-functions. Fiz. Mat. Fak. Moksl. Semin.
Darb. 4 (2001), 88--95.
Steuding, J. On simple zeros of the Riemann
zeta-function in short intervals on the critical line. Acta Math.
Hungar. 96 (2002), no. 4, 259--308.
Steuding, J. On Dirichlet series with periodic
coefficients. Ramanujan J. 6 (2002), no. 3, 295--306.
Steuding, J. Dirichlet series associated to periodic
arithmetic functions and the zeros of Dirichlet $L$-functions. Analytic
and probabilistic methods in number theory (Palanga, 2001), 282--296,
TEV, Vilnius, 2002.
Steuding, J. Upper bounds for the density of
universality. Acta Arith. 107 (2003), no. 2, 195--202.
Steuding, J. A note on the Selberg class (degrees 0
and 1). Arch. Math. (Basel) 81 (2003), no. 1, 22--25.
Steuding, J. On the value-distribution of
$L$-functions. Fiz. Mat. Fak. Moksl. Semin. Darb. 6 (2003), 87--119.
Steuding, J; Slezeviciene, R. Factoring
with continued fractions, the Pell equation, and weighted mediants.
Fiz. Mat. Fak. Moksl. Semin. Darb. 6 (2003), 120--130.
Steuding, J. On the universality for functions in
the Selberg class. Proceedings of the Session in Analytic Number Theory
and Diophantine Equations, 22 pp., Bonner Math. Schriften, 360, Univ.
Bonn, Bonn, 2003.
Steuding, J. How many values can $L$-functions
share? Fiz. Mat. Fak. Moksl. Semin. Darb. 7 (2004), 70--81.
Steuding, J; Slezeviciene, R. Zeros and
extreme values of the Riemann zeta-function on the critical line. Fiz.
Mat. Fak. Moksl. Semin. Darb. 7 (2004), 82--102.
Steuding, J. Extremal values of Dirichlet
$L$-functions in the half-plane of absolute convergence. J.
Théor. Nombres Bordeaux 16 (2004), no. 1, 221--232.
Steuding, J; Weng, Annegret . On the number of prime
divisors of the order of elliptic curves modulo $p$. Acta Arith. 117
(2005), no. 4, 341--352.
Aldaz, J. M.; Bravo, A.; Gutiérrez, S.; Ubis, A. A theorem of D. J. Newman on Euler's $\phi$ function and arithmetic
progressions.
Amer. Math. Monthly 108 (2001), no. 4, 364--367.
Chamizo, F. ; Ubis, A. An average formula for the class number. Acta Arith. 122 (2006), no. 1, 75-90.
Chamizo,
F. ; Ubis, A. Some Fourier series with
gaps. (To appear in
Journal d'Analyse Mathématique) Preprint 2005.
Chamizo, F. ; Cristóbal, E.; Ubis, A.
Visible points in the sphere (to appear in the Journal of Number Theory) Preprint 2005.
