Team publications

Last updated June 5, 2022

Submitted

A. Fazzari, A survey on a weighted one-level density of families of L-functions
D. Gil-Muñoz, The ring of integers of Hopf-Galois degree p extensions of p-adic fields with dihedral normal closure, arxiv
T. Crespo, D. Gil-Muñoz, A. Rio, M. Vela, Left braces of size 8p, arxiv
J. Glivická, E. Sgallová, J. Šaroch, Controlling distribution of prime sequences in discretely ordered principal ideal subrings of Q[x], arxiv
G. Cherubini, P. Yatsyna, Potential energy of totally positive algebraic integers, 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. Krásenský, P. Yatsyna, On quadratic Waring’s problem in totally real number fieldsarxiv
V. Kala, P. Yatsyna, On Kitaoka’s conjecture and lifting problem for universal quadratic forms, arxiv
A. Fazzari, A weighted one-level density of families of L-functions, arxiv
J. Krásenský, M. Raška, E. Sgallová, Pythagoras numbers of orders in biquadratic fields, arxiv
J. Kerner, P. Yatsyna, On the spectral gap of the path graph in the limit of large volume, arxiv
M. Raška, Representing multiples of m in real quadratic fields as sums of squares, arxiv
M. Tinková, Trace and norm of indecomposable integers in cubic orders, arxiv
M. Tinková, On the Pythagoras number of the simplest cubic fields, arxiv

M. Doležálek, Quaternions and universal quadratic forms over number fields, arxiv
M. Tinková, E. Waxman, M. Zindulka, Artin Twin Primes, arxiv
K. Zemková, Composition of Bhargava’s Cubes over Number Fields, arxiv
D. Lachman, Distance formulas in Bruhat-Tits building of SL_d(Q_p), arxiv

To appear

G. Cherubini, A. Fazzari, A. Granville, V. Kala, P. Yatsyna, Consecutive real quadratic fields with large class numbers, Int. Math. Res. Not. IMRN, arxiv
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
G. Cherubini, P. Yatsyna, Cyclic polytope of the simplest cubic fields, Discrete Comput Geom, arxiv
Z. Masáková, T. Vávra, F. Veneziano, Finiteness and periodicity of continued fractions over quadratic number fields, Bull. Soc. Math. Fr., arxiv
V. Kala, M. Tinková, Universal quadratic forms, small norms and traces in families of number fields, Int. Math. Res. Not. IMRN, arxiv, journal
V. Kala, Number fields without universal quadratic forms of small rank exist in most degrees, Math. Proc. Cambridge Philos. Soc., 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

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), 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

above Gondla village