On the Lerch zeta-function, Lith. Math. J. 36 (1996), 337-346 (with A. Laurinčikas).
The universality theorem with weight for the Lerch zeta-function, in: New Trends in Probability and Statistics. V.4: Analytic and Probabilistic Methods in Number Theory, Proceedings of the Second Intern. Conf. in Honour of J. Kubilius, Palanga, Lithuania, 23-27 September 1996. Eds. A.Laurinčikas, E.Manstavičius and V.Stakenas, Vilnius: TEV, Utrecht: VSP, (1997), 59-67.
An explicit form of the limit distribution with weight for the Lerch zeta-function in the space of analytic functions, Lith. Math. J. 37 (1997), 230-242.
On one Hilbert's problem for the Lerch zeta-function, Publ. Inst. Math., 65 (79) (1999), 63-69 (with A. Laurinčikas).
On zeros of the Lerch zeta-function,
in: Number Theory and Its Applications, S.Kanemitsu and K.Gyory (eds.),
Kluwer Academic Publishers, (1999), 129-143 (with A. Laurinčikas).
PDF
On zeros of the Lerch zeta-function.II, in: Probability Theory and Mathematical Statistics, Proceedings of the Seventh Vilnius Conf. 1998, B.Grigelionis et al. (Eds.), TEV/Vilnius, VSP/Utrecht, (1999), 267-276.
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On zeros of the Lerch zeta function. III,
Scient. works of Lith. Math. Soc.: supl. to "Liet. Matem. Rink.",
Vilnius: Technika, 1999, pp. 24-30.
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A note on the Riemann $\xi$-function, Liet.
Matem. Rink., 40 (Special Issue) (2000), 18-20 (Lithuanian).
The Lerch zeta-function, Integral Transforms and Special Functions,
10 (2000), 211-226 (with A. Laurinčikas).
A note on the zeros of the Lerch zeta-function, Liet.
Matem. Rink. 41 (Special Issue) (2001), 53-57 (Lithuanian).
Twists of Lerch zeta-functions, Liet. matem. rink. 41 (2001), 172-182 (with J. Steuding).
PDF
On the zero distributions of Lerch zeta-functions, Analysis 22 (2002), 1-12 (with J. Steuding).
PDF
On a positivity property of
the Riemann $\xi$-function, Liet. matem. rink. 42 (2002), 179-184.
PDF
On the universality of Estermann zeta-functions, Analysis 22 (2002), 285-296 (with A. Laurinčikas, R. Šleževičienė and J. Steuding).
PDF
On some inequalities concerning $\pi (x)$, Exp. Math. 11 (2002), 297-301.
PDF
Do Lerch zeta-functions satisfy the Lindelof hypothesis?,
in: Analytic and Probabilistic Methods in Number
Theory, Proceedings of the Third Intern. Conf. in Honour of
J. Kubilius, Palanga, Lithuania, 24-28 September 2001,
(eds. A. Dubickas, A. Laurinčikas and E. Manstavičius),
TEV, Vilnius, (2002), 61-74 (with J. Steuding).
PDF
On the mean square of Lerch zeta-functions, Arch. Math. 80 (2003), 47-60 (with A. Laurinčikas and J. Steuding).
PDF
On
the Chebyshev function $\psi(x)$, Liet. matem. rink.
43 (2003), 487-496 = Lith. Math. J. 401-409.
The effective universality theorem for the Riemann zeta
function, in: Proceedings of the session in analytic number
theory and Diophantine equations, MPI-Bonn, January - June 2002,
Ed. by D. R. Heath-Brown, B. Z. Moroz, Bonner mathematische
Schriften, 360 (2003), 21 pp.
PDF
An approximation of the Hurwitz zeta-function by a
finite sum, Liet.
Matem. Rink. 43 (Special Issue)
(2003), 32-34 (Lithuanian).
On the Voronin's universality theorem for the Riemann
zeta-function, Proceedings of Scientific Seminar of the
Faculty of Physics and Mathematics, Šiauliai University 6 (2003), 29-33.
PDF
An approximate functional equation for the Lerch
zeta-function, Math. Notes 74 (2003), 469-476 (with A. Laurinčikas and J.Steuding).
PDF
Approximation of the Lerch zeta-function, Liet. matem. rink.
44 (2004), 176-180 = Lith. Math. J. 140-144.
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Universality of Dirichlet L-functions with shifted characters, Liet.
Matem. Rink. 44 (Special Issue)
(2004), 48-50.
Growth of the Lerch
zeta-function, Liet. matem. rink.
45 (2005), 45-56 = Lith. Math. J. 34-43.
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Note on the zeros of the Hurwitz zeta-function, in: Voronoi's impact on modern science. Book 3: proceedings of the third Voronoi Conference on Number Theory and Spatial Tessellations. Mathematics and its Applications, 55 (2005), 10-12.
PDF
Simple zeros and discrete moments of the derivative of the Riemann zeta-function, J. Number Theory 115 (2005), 310-321 (with J. Steuding).
PDF
On the distribution of zeros of the Hurwitz zeta-function, Math. Comp.
76 (2007), 323-337 (with J. Steuding).
PDF
On the Backlund equivalent for the Lindelof hypothesis, Adv. Stud. Pure Math. 49 (2007), 91-104.
PDF
Sum of the periodic zeta-function over the nontrivial zeros of the Riemann zeta-function, Analysis, München, 28 (2008), 209-217 (with J. Kalpokas).
PDF
Note on zeros of the derivative of the Selberg zeta-function, Arch. Math. 91 (2008), 238-246. PDF . Corrigendum, Arch. Math. 93 (2009), page 143. PDF
Selberg's Central Limit Theorem on the Critical Line and the Lerch Zeta-Function, in: Proceedings of the conference "New Directions in the Theory of Universal Zeta- and L-Functions", Würzburg, Germany, October 6-10, 2008, Shaker Verlag, (2009), 57-64 (with A. Grigutis and A. Laurinčikas). PDF
Effective uniform approximation by the Riemann zeta-function, Publ. Mat. 54 (2010), 209-219 (with A. Laurinčikas, K. Matsumoto, J. Steuding and R. Steuding). PDF
Sum of the Dirichlet L-function over nontrivial zeros of another Dirichlet L-function, Acta Math. Hungar., 128 (2010), 287-298 (with J. Kalpokas and J. Steuding). PDF
Self-approximation of Dirichlet L-functions, J. Number Theory, 131(7) (2011), 1286-1295. arXiv:1006.1507
Questions around the nontrivial zeros of the Riemann zeta-function - computations and classifications, Math. Model. Anal., 16(1) (2011), 72-81. (with J. Steuding). PDF
Uniqueness theorems for L-functions, Comment. Math. Univ. St. Pauli, 60, No. 1,2 (2011), 15-35. (with J. Grahl and J. Steuding). PDF
Zeros of the Lerch transcendent function, Mathematical Modelling and Analysis, 17, No. 2 (2012), 245-250. (with A. Grigutis). PDF
The a-values of the Selberg zeta-function, Lith. Math. J., 52, No. 2 (2012), 145-154. (with R. Šimenas). PDF
Zeros of the periodic zeta-function, Šiauliai Mathematical Seminar, 8(16) (2013), 49-62. (with R. Tamošiūnas). PDF
Zeros of the Estermann zeta-function, Journal of the Australian Mathematical Society 94 (2013), 38-49,
doi:10.1017/S1446788712000419 (with A. Dubickas, J.
Steuding, and R.
Steuding). PDF
Complex B-splines and Hurwitz zeta functions, LMS Journal of Computation and Mathematics 16 (2013), 61-77, (with B. Forster, P. Massopust, and J. Steuding). PDF
The discrete mean square of the Dirichlet L-function at nontrivial zeros
of another Dirichlet L-function, International Journal of Number Theory 9(4) (2013), 945-963, (with J. Kalpokas). PDF
Universality of the Selberg zeta-function for the modular group, Forum Mathematicum 25(3) (2013), 533-564, (with P. Drungilas and A. Kačėnas). PDF
On the roots of the equation $\zeta(s)=a$, Abh. Math. Semin. Univ. Hambg. 84 (2014), 1-15, (with J. Steuding). arXiv:1011.5339
Self-approximation of Hurwitz zeta-functions, Functiones et Approximatio 51(1) (2014), 181-188, (with E. Karikovas). PDF
The a-points of
the Selberg zeta-function are uniformly distributed modulo one, Illinois J. Math. 58(1) (2014), 207–218, (with J. Steuding and R. Šimėnas). PDF
On the Speiser equivalent for the Riemann hypothesis, European Journal of Mathematics 1 (2015), 337-350, (with R. Šimėnas). PDF
The size of the Selberg zeta-function
at places symmetric with respect
to the line Re(s)= 1/2, Results. Math. 70(1) (2016), 271–281, (with A. Grigutis). PDF
Sum of the Lerch zeta-function over nontrivial zeros of the Dirichlet L-function, From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. (2016), 141–153, (with J. Kalpokas). PDF
On the distribution of the a-values of the Selberg
zeta-function associated to finite volume Riemann surfaces, J. Number Theory 173 (2017), 64–86, (with R. Šimėnas). PDF
Zeros of the Riemann zeta-function and its universality, Acta Arith. 181(2) (2017), 127-142 (with A. Laurinčikas and R. Macaitienė).
Symmetry of zeros of Lerch zeta-function for equal parameters, Lith. Math. J. 57(4) (2017), 433-440 (with R. Tamošiūnas). PDF
Discrete mean square of the Riemann zeta-function over imaginary parts of its zeros, Period. Math. Hungar. 76 (2018), 217-228 (with A. Laurinčikas). arXiv:1608.08493
The Riemann hypothesis and universality of the Riemann zeta-function, Math. Slovaca 68(4) (2018), 741-748 (with A. Laurinčikas). PDF
Growth of the Selberg zeta-function, Kyushu J. Math. 72 (2018), 441-447. PDF
Zero-free regions for derivatives of the Selberg zeta-function, Publ. Math. Debrecen 93 (2018), 369-385. PDF
Asymptotic distribution of Beurling integers, Int. J. Number Theory 14(10) (2018), 2555-2569 (with L. Kaziulytė). PDF
The size of the Lerch zeta-function at places symmetric with respect to the line Re(s)=1/2, Czechoslovak Math. J., 69 (2019), 25-37 (with A. Grigutis). PDF
On the vertical distribution of the a-points of the Selberg zeta-function attached to a finite volume Riemann surface, Lith. Math. J., 59 (2019), 143-155 (with R. Šimėnas). PDF
Second moment of the Beurling zeta-function, Lith. Math. J., 59 (2019), 317-337 (with P. Drungilas and A. Novikas). PDF
Zeros of the Lerch zeta-function and of its derivative for equal parameters, to appear in Bull. Math. Soc. Sci. Math. Roumanie (with R. Tamošiūnas). arXiv:1902.03064
On primeness of the Selberg zeta-function, to appear in Hokkaido Math. J. (with J. Steuding). arXiv:1908.03108
Zeros of the extended Selberg class zeta-functions and of their derivatives, to appear in Turkish Journal of Mathematics. arXiv:1904.03123