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.
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).
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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).
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On the zeros of the derivative of the Lerch zeta-function, Liet.
Matem. Rink. 42 (Special Issue) (2002), 47-49 (Lithuanian).
On the zero distributions of Lerch zeta-functions, Analysis 22 (2002), 1-12 (with J. Steuding).
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On a positivity property of
the Riemann $\xi$-function, Liet. matem. rink. 42 (2002), 179-184.
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On the universality of Estermann zeta-functions, Analysis 22 (2002), 285-296 (with A. Laurinčikas, R. Šleževičienė and J. Steuding).
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On some inequalities concerning $\pi (x)$, Exp. Math. 11 (2002), 297-301.
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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).
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On the mean square of Lerch zeta-functions, Arch. Math. 80 (2003), 47-60 (with A. Laurinčikas and J. Steuding).
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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.
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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.
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An approximate functional equation for the Lerch
zeta-function, Math. Notes 74 (2003), 469-476 (with A. Laurinčikas and J.Steuding).
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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.
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Simple zeros and discrete moments of the derivative of the Riemann zeta-function, J. Number Theory 115 (2005), 310-321 (with J. Steuding).
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On the distribution of zeros of the Hurwitz zeta-function, Math. Comp.
76 (2007), 323-337 (with J. Steuding).
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On the Backlund equivalent for the Lindelof hypothesis, Adv. Stud. Pure Math. 49 (2007), 91-104.
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Sum of the periodic zeta-function over the nontrivial zeros of the Riemann zeta-function, Analysis, München, 28 (2008), 209-217 (with J. Kalpokas).
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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. doi:10.1112/S146115701300003X (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, DOI: 10.1515/FORM.2011.127 (with P. Drungilas and A. Kačėnas). PDF
On the roots of the equation $\zeta(s)=a$, (with J. Steuding). arXiv:1011.5339
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.