Professor at the
Department of Probability Theory and Number Theory
Faculty of Mathematics and Informatics
Vilnius University
Naugarduko 24, 03225 Vilnius, Lithuania
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.
PDF
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.
PDF
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.
PDF
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.
PDF
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
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, to appear in Period. Math. Hungar., (with A. Laurinčikas). arXiv:1608.08493
The Riemann hypothesis and universality of the Riemann zeta-function, to appear in Math. Slovaca., (with A. Laurinčikas).
The size of the Lerch zeta-function at places symmetric with respect to the line Re(s)=1/2, to appear in Czechoslovak Mathematical Journal, (with A. Grigutis).
The II International Conference “Analytic and Probabilistic Methods in Number Theory”, Palanga, Lithuania, September 23-27, 1996.
Renyi Institute, Budapest, Hungary, November 1-30, 1997.
22nd European Meeting of Statisticians, 7th Vilnius Conf. on Probability Theory and Mathematical Statistics, Vilnius, Lithuania, August 12-18, 1998.
Paul Erdos and his Mathematics, Budapest, Hungary, July 4-11, 1999.
J.W. Goethe University, Frankfurt on Main, Germany, November 2-30, 1999.
Colloquium on Number Theory in honour of the 60th birthday of Professors K. Gyory and A. Sarkozy, Debrecen, Hungary, July 3-7, 2000.
IV International Conference “Modern Problems of Number Theory and Its Applications” dedicated to 180th anniversary of P.L. Chebysheff and 110th anniversary of I.M. Vinogradov, Tula, Russia, September 10-15, 2001.
The III International Conference “Analytic and Probabilistic Methods in Number Theory”, Palanga, Lithuania, September 24-28, 2001.
J.W. Goethe University, Frankfurt on Main, Germany, June 5-July 5, 2002.
Freiburg University, Germany, June 7, 2002.
Workshop “Special Activity in Analytic Number Theory and Diophantine equations”, Max Planck Institute for Mathematics, Bonn, Germany, June 24-28, 2002.
Voronoi conference on analytic number theory and spatial tessellations, Kyiv, Ukraine, September 22-28, 2003.
J.W. Goethe University, Frankfurt on Main, Germany, January 27-February 26, 2004.
Nagoya University, Nagoya, Japan, June 11-19, 2005.
International Conference on Probability and Number
Theory (P&NT 05), Kanazawa, Japan, June 20-24, 2005.
The 17-th Czech and Slovak International Conference on
Number Theory, Malenovice, Czech Republic, September 5-10, 2005.
The 30th birthday of Voronin's universality theorem. Colloquium: value distribution of Dirichlet
series, Madrid, Spain, December 5-9, 2005.
Conference “Advances in
Number Theory and Random Matrix Theory”, University of Rochester, Rochester, NY, USA, , June 5-8, 2006.
The IV International Conference “Analytic and Probabilistic Methods in Number Theory”, Palanga, Lithuania, September 24-30, 2006.
“West Coast Number Theory Conference”, Ensenada, Baja California, Mexico, December 17-21, 2006.
“International Conference on Number Theory” dedicated to the 60th birthday of Professor Antanas Laurinčikas, Šiauliai, Lithuania, August 11-15, 2008.
“New Directions in the Theory of Universal Zeta- and L-Functions”, Würzburg, Germany, October 6-10, 2008.
Würzburg University, Würzburg, Germany, December 9-20, 2009.
“15th International Conference Mathematical Modelling and Analysis”, Druskininkai, Lithuania, May 26-29, 2010.
Satellite Conference to ICM 2010 “Analytic and Combinatorial Number Theory”, Institute of Mathematical Sciences, Chennai, India, August 29-September 3, 2010.
Conference “Functions in Number Theory and Their Probabilistic Aspects”,
RIMS, Kyoto University
Kyoto, Japan, December 13-17, 2010.
“Workshop on various zeta functions and related topics”,
The University of Tokyo,
Tokyo, Japan, December 21 and 22, 2010.
“27th Journées Arithmétiques”,
Vilnius University, Vilnius, Lithuania, 27th June - 1st July 2011.
The V International Conference “Analytic and Probabilistic Methods in Number Theory”, Palanga, Lithuania, September 4-10, 2011.
Würzburg University, Würzburg, Germany, October 1-30, 2011.
Conference “Synergies And Vistas in Analytic Number Theory”, University of Oxford, Oxford, UK, September 3-7, 2012.