Publications

Sign changes of short character sums and real zeros of Fekete polynomials,
O. Klurman, Y. Lamzouri and M. Munsch
preprint, ArXiv
Partition regularity of Pythagorean pairs,

N. Frantzikinakis, O. Klurman and J. Moreira

preprint, ArXiv

L_q norms and Mahler measure of Fekete polynomials,
O. Klurman, Y. Lamzouri and M. Munsch
preprint, ArXiv
On Elliott's conjecture and applications,
O. Klurman, A. Mangerel and J. Teräväinen
preprint, ArXiv
On Inequality Decision Problems for Low-Order Holonomic Sequences,
G. Kenison, O. Klurman, E. Lefaucheux, F. Luca, P. Moree, J. Ouaknine, M. Whiteland, and J. Worrell
preprint, Link.
How negative can the $\sum_{n\le x} f(n)/n$ be?
B. Kerr, O. Klurman
preprint, ArXiv
On the behaviour of the nodal lines near the boundary of Laplace eigenfunctions on the square,
O. Klurman, A. Sartori
preprint, ArXiv.
Monotone chains of Fourier coefficients of Hecke cusp forms,
O. Klurman and A. Mangerel
preprint, ArXiv.
Multilinear averages and sign patterns of multiplicative functions,
O. Klurman and A. Mangerel
preprint, ArXiv.
Beyond the Erdős discrepancy problem in function fields,
O. Klurman, A. Mangerel and J. Teräväinen
Mathematische Annalen, to appear, ArXiv
Multiplicative functions in short arithmetic progressions,
O. Klurman, A. Mangerel and J. Teräväinen
Proc. London Math. Soc. (PLMS), 127(2), 366–446, 2023. ArXiv
On the Random Chowla conjecture,
O. Klurman, I. Shkredov and M. Xu
Geometric and Functional Analysis (GAFA), 33, no. 3, 749–777, 2023. ArXiv.
Correlation of multiplicative functions in function fields,
O. Klurman, A. Mangerel and J. Teräväinen
Mathematika, 69(1), 155–231, 2023. ArXiv.
On Positivity and Minimality of the second-order holonomic sequences,
G. Kenison, O. Klurman, E. Lefaucheux, F. Luca, P. Moree, J. Ouaknine, M. Whiteland, and J. Worrell
MFCS 21, 2021, LIPIcs 2021. ArXiv.
Multiplicative functions which are close to their mean,
O. Klurman, A. Mangerel, C. Pohoata and J. Teräväinen
Transactions of the AMS, 374(11), 2021, 7967–7990. ArXiv.
Boundary effect on the nodal length for arithmetic random waves, and spectral semi-correlations,
V. Cammarota, O. Klurman and I. Wigman
Communications in Math. Physics, 376 (2020), no. 2, 1261–1310. ArXiv.
On multiplicative automatic sequences, II,
O. Klurman and P. Kurlberg
Bulletin of the London Math. Society, 52 (2020), no. 1, 185–188. ArXiv.
On the orbits of multiplicative pairs,
O. Klurman and A. Mangerel
Algebra and Number Theory, 14 (2020), no. 1, 155–189. ArXiv.
Polynomial products modulo primes and applications,
O. Klurman and M. Munsch
Monatshefte für Mathematik, 191 (2020), no. 3, 577–593. ArXiv.
On subsets of the hypercube with prescribed Hamming distances,
H. Huang, O. Klurman and C. Pohoata.
Journal of Combin. Theory Ser. A, 171 (2020), 105156, 21 pp., ArXiv.
Markov's problem for k-absolutely monotone polynomials and applications,
O. Klurman and S. Zadeh.
Jaen Journal of Approximation, 11 (2019), no. 1-2, 139–149.
A note on multiplicative automatic sequences,
O. Klurman and P. Kurlberg
C. R. Acad. Sci. Paris, 357 (2019), no. 10, pp. 752-755., ArXiv.
Rigidity theorems for multiplicative functions,
O. Klurman and A. Mangerel
Mathematische Annalen, 372 (1), 2018, pp. 651-697,ArXiv.
Correlations of multiplicative functions and applications,
O. Klurman
Compositio Mathematica, 153 (8), 2017, pp. 1622-1657, ArXiv.
Distribution of factorials modulo $p$,
O. Klurman and M. Munsch
Journal de Théorie des Nombres de Bordeaux., 29 no. 1 (2017), p. 169-177., ArXiv.
Radical of perfect numbers and perfect numbers among polynomial values,
O. Klurman
International Journal of Number Theory., 12, 2016, 585-592., Link.
On constrained Markov-Nikolskii type inequality for k-absolutely monotone polynomials,
O. Klurman
Acta Mathematica Hungarica., 143, 2014, 13-22, ArXiv.
V. Markov's problem for monotone polynomials,
O. Klurman
ArXiv.