Team publications

Last update on April 30, 2023

Yellow: our students
Orange: our postdocs
Red: PI

Submitted

G. Cherubini, P. Mercuri, Parity of 4-regular and 8-regular partition functions, arxiv
V. Kala, P. Yatsyna, B. Żmija, Real quadratic fields with a universal form of given rank have density zero, arxiv
T. Crespo, D. Gil-Muñoz, A. Rio, M. Vela, Double semidirect products and skew left braces of size np, arxiv
V. Kala, E. Sgallová, M. Tinková, Arithmetic of cubic number fields: Jacobi-Perron, Pythagoras, and indecomposables, arxiv
V. Kala, T. Kepka, M. Korbelar, Congruence-simple matrix semirings, arxiv
I. Araujo, B. Frederickson, R. A. Krueger, B. Lidický, T. B. McAllister, F. Pfender, S. Spiro, E. N. Stucky, Triangle Percolation on the Grid, arxiv
M. Melistas, Torsion and twists of abelian varieties
K. J. Becher, N. Daans, D. Grimm, G. Manzano-Flores, M. Zaninelli, The Pythagoras number of a rational function field in two variables, arxiv
M. Bordignon, D. R. Johnston, V. Starichkova, An explicit version of Chen’s theorem, arxiv
M. Bordignon, V. Starichkova, An explicit version of Chen’s theorem assuming the Generalized Riemann Hypothesis, arxiv
V. Kala, Universal quadratic forms and indecomposables in number fields: A survey, arxiv
M. Melistas, An analogue of a conjecture of Rasmussen and Tamagawa for abelian varieties over function fields
G. Cherubini, P. Yatsyna, Degrees of Salem numbers of trace –3, arxiv
M. Melistas, Reduction types of CM curves
V. Kala, P. Miska, On continued fraction coefficients of square roots of primes, arxiv
D. Gil-Muñoz, M. Tinková, Additive structure of non-monogenic simplest cubic fields, arxiv
M. Bordignon, E. S. Lee, Explicit upper bounds for the number of primes simultaneously representable by any set of irreducible polynomials, arxiv
B. Żmija, Arithmetic properties of colored p-ary partitions
B. Żmija, High order congruences for M-ary partitions
V. Kala, L. Šíma, On generators of commutative semifields
G. Cherubini, A. Fazzari, Hyperbolic angles from Heegner points, arxiv
P. Miska, J. Tóth, B. Żmija, On distribution of subsequences of primes having prime indices with respect to the (R)-densness and convergence exponent, arxiv
J. Kerner, P. Yatsyna, On the spectral gap of the path graph in the limit of large volume, arxiv
M. Tinková, On the Pythagoras number of the simplest cubic fields, arxiv
D. Lachman, Distance formulas in Bruhat-Tits building of SL_d(Q_p), arxiv
K. Zemková, Composition of Bhargava’s Cubes over Number Fields, arxiv

To appear

G. R. W. Greaves, J. Syatriadi, P. Yatsyna, Equiangular lines in low dimensional Euclidean spaces: dimensions 17 and 18, Math Comp., arxiv
J. Glivická, E. Sgallová, J. Šaroch, Controlling distribution of prime sequences in discretely ordered principal ideal subrings of Q[x], Proc. Amer. Math. Soc., arxiv, journal
A. Fazzari, A weighted one-level density of families of L-functions, Algebra Number Theory, arxiv
M. Tinková, Trace and norm of indecomposable integers in cubic orders, Ramanujan J., arxiv, journal
G. Cherubini, A. Fazzari, A. Granville, V. Kala, P. Yatsyna, Consecutive real quadratic fields with large class numbers, Int. Math. Res. Not. IMRN, arxiv, journal
V. Kala, M. Tinková, Universal quadratic forms, small norms and traces in families of number fields, Int. Math. Res. Not. IMRN, arxiv, journal
R. Chen, Y. Kim, J. Lichtman, S. J. Miller, A. Shubina, S. Sweitzer, E. Waxman, E. Winsor, J. Yang, A Refined Conjecture for the Variance of Gaussian Primes across Sectors, Experiment. Math., arxiv, journal

Published 2023

V. Kala, P. Yatsyna, On Kitaoka’s conjecture and lifting problem for universal quadratic forms, Bull. Lond. Math. Soc. 55 (2023), 854-864, arxiv, journal
T. Crespo, D. Gil-Muñoz, A. Rio, M. Vela, Left braces of size 8p, J. Algebra 617 (2023), 317-339, arxiv, journal
D. Gil-Muñoz, The ring of integers of Hopf-Galois degree p extensions of p-adic fields with dihedral normal closure, J. Number Theory 245 (2023), 65-118, arxiv, journal
M. Raška, Representing multiples of m in real quadratic fields as sums of squares, J. Number Theory 244 (2023), 24-41, arxiv, journal
M. Tinková, E. Waxman, M. Zindulka, Artin Twin Primes, J. Number Theory 245 (2023), 203-232, arxiv, journal
G. Cherubini, P. Yatsyna, Cyclic polytope of the simplest cubic fields, Discrete Comput Geom 69 (2023), 338-348, arxiv, journal
V. Kala, Number fields without universal quadratic forms of small rank exist in most degrees, Math. Proc. Cambridge Philos. Soc. 174 (2023), 225-231, arxiv, journal
J. Krásenský, P. Yatsyna, On quadratic Waring’s problem in totally real number fields, Proc. Amer. Math. Soc. 151 (2023), 1471-1485, arxiv, journal
T. Crespo, D. Gil-Muñoz, A. Rio, M. Vela, Inducing braces and Hopf Galois structures, J. Pure Appl. Algebra 227 (2023), 107371, arxiv, journal

Published 2022

J. Krásenský, A cubic ring of integers with the smallest Pythagoras number, Arch. Math. (Basel) 118 (2022), 39-48, arxiv, journal
G. Cherubini, H. Wu, G. Zábrádi, On Kuznetsov–Bykovskii’s formula of counting prime geodesics, Math. Z. 300 (2022), 881-928, arxiv, journal
E. Pelantová, T. Vávra, On positional representations of integer vectors, Linear Algebra Appl. 633 (2022), 316-331, arxiv, journal
T. Hejda, V. Kala, Ternary quadratic forms representing a given arithmetic progression, J. Number Theory 234 (2022), 140-152, arxiv, journal
D. Gil-Muñoz, A. Rio, Hopf Galois module structure of quartic Galois extensions of Q, J. Pure Appl. Algebra 226 (9) (2022), 107045, arxiv, journal
G. Cherubini, P. Yatsyna, Potential energy of totally positive algebraic integers, J. Math. Anal. Appl. 516 (2) (2022), 126518, arxiv, journal
J. Krásenský, M. Raška, E. Sgallová, Pythagoras numbers of orders in biquadratic fields, Expo. Math. 40 (2022), 1181-1228, arxiv, journal
A. Fazzari, A survey on a weighted one-level density of families of L-functions, Rend. Semin. Mat. Univ. Politec. Torino 80 (1) (2022), 29-40, journal

Published 2021

M. Tinková, Arithmetics in number systems with cubic base, Publ. Math. Debrecen 99 (2021), 25-50, arxiv, journal
K. Zemková, Composition of binary quadratic forms over number fields, Math. Slovaca 71(6) (2021), 1339-1360, arxiv, journal
G. R.W. Greaves, J. Syatriadi, P. Yatsyna, Equiangular lines in low dimensional Euclidean spaces, Combinatorica 41 (2021), 839-872, arxiv, journal
B. Faye, L. Matthiesen, D. Schindler, M. Tinková, K. Zemková, Integers represented by ternary quadratic forms, WINE III, Springer International Publishing (2021), 207-231, book
V. Kala, P. Yatsyna, Lifting problem for universal quadratic forms, Adv. Math. 377 (2021), 107497, arxiv, journal
E. Waxman, Lower Order Terms for the One Level Density of a Symplectic Family of Hecke L-Functions, J. Number Theory 221 (2021), 447-483, arxiv, journal
T. Vávra, Periodic representations in Salem bases, Israel J. Math. 242 (2021), 83-95, arxiv, journal

Published 2020

T. Hejda, V. Kala, Additive structure of totally positive quadratic integers, Manuscripta Math. 163 (2020), 263-278, arxiv, journal
M. Tinková, P. Voutier, Indecomposable integers in real quadratic fields, J. Number Theory 212 (2020), 458-482, arxiv, journal
J. Krásenský, M. Tinková, K. Zemková, There are no universal ternary quadratic forms over biquadratic fields, Proc. Edinb. Math. Soc. 63 (2020), 861-912, arxiv, journal
V. Kala, P. Yatsyna, Sums of squares in S-integers, New York J. Math. 26 (2020), 1145-1154, arxiv, journal

Published 2019

V. Kala, J. Svoboda, Universal quadratic forms over multiquadratic fields, Ramanujan J. 48 (2019), 151-157, arxiv, journal
V. Kala, T. Vávra, Periodic representations in algebraic bases, Monatsh. Math. 188 (2019), 109-119, arxiv, journal
M. Čech, D. Lachman, J. Svoboda, M. Tinková, K. Zemková, Universal Quadratic Forms and Indecomposables over Biquadratic Fields, Math. Nachr. 292 (2019), 540-555, arxiv, journal

Published 2018

V. Blomer, V. Kala, On the rank of universal quadratic forms over real quadratic fields, Doc. Math. 23 (2018), 15-34, arxiv, journal
T. Hejda, W. Steiner, Beta-expansions of rational numbers in quadratic Pisot bases, Acta Arith. 183 (2018), 35-51, arxiv, journal
T. Hejda, Multiple tilings associated to d-Bonacci beta-expansions, Monatsh. Math. 187 (2018), 275-291, arxiv, journal
A. Dahl, V. Kala, Distribution of class numbers in continued fraction families of real quadratic fields, Proc. Edinb. Math. Soc. 61 (2018), 1193-1212, arxiv, journal