Vítězslav Kala

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All published works

Action	Title	Year	Authors
+ PDF Chat	Kitaoka's Conjecture for quadratic fields	2025	Vítězslav Kala Jakub Krásenský Dayoon Park Pavlo Yatsyna Błażej Żmija
+ PDF Chat	Failures of integral Springer’s theorem	2024	Nicolas Daans Vítězslav Kala Jakub Krásenský Pavlo Yatsyna
+	Universal quadratic forms and Northcott property of infinite number fields	2024	Nicolas Daans Vítězslav Kala Siu Hang Man
+ PDF Chat	Universality criterion sets for quadratic forms over number fields	2024	Vítězslav Kala Jakub Krásenský Giuliano Romeo
+	There is no 290‐Theorem for higher degree forms	2024	Vítězslav Kala Om Prakash
+ PDF Chat	Most totally real fields do not have universal forms or Northcott property	2024	Nicolas Daans Vítězslav Kala Siu Hang Man Martin Widmer Pavlo Yatsyna
+ PDF Chat	Universality lifting from a general base field	2024	Vítězslav Kala Daejun Kim Seok Hyeong Lee
+ PDF Chat	There is no 290-Theorem for higher degree forms	2024	Vítězslav Kala Om Prakash
+	Universal quadratic forms and Dedekind zeta functions	2024	Vítězslav Kala Mentzelos Melistas
+ PDF Chat	Failures of integral Springer's Theorem	2024	Nicolas Daans Vítězslav Kala Jakub Krásenský Pavlo Yatsyna
+	Partitions into powers of an algebraic number	2024	Vítězslav Kala Mikuláš Zindulka
+	On minimal semiring generating sets of finitely generated commutative parasemifields	2024	Vítězslav Kala Lucien Šíma
+ PDF Chat	Periodicity of general multidimensional continued fractions using repetend matrix form	2024	Hanka Řada Štěpán Starosta Vítězslav Kala
+ PDF Chat	Sails for universal quadratic forms	2024	Vítězslav Kala Siu Hang Man
+ PDF Chat	Congruence-simple matrix semirings	2024	Vítězslav Kala Tomáš Kepka Miroslav Korbelář
+ PDF Chat	Even better sums of squares over quintic and cyclotomic fields	2024	Vítězslav Kala Pavlo Yatsyna
+	On continued fraction partial quotients of square roots of primes	2023	Vítězslav Kala Piotr Miska
+ PDF Chat	Universal quadratic forms and indecomposables in number fields: A survey	2023	Vítězslav Kala
+	Universal quadratic forms and indecomposables in number fields: A survey	2023	Vítězslav Kala
+	Real quadratic fields with a universal form of given rank have density zero	2023	Vítězslav Kala Pavlo Yatsyna Błażej Żmija
+	Arithmetic of cubic number fields: Jacobi-Perron, Pythagoras, and indecomposables	2023	Vítězslav Kala Ester Sgallová Magdaléna Tinková
+	Congruence-simple matrix semirings	2023	Vítězslav Kala Tomáš Kepka Miroslav Korbelář
+	Partitions into powers of an algebraic number	2023	Vítězslav Kala Mikuláš Zindulka
+	Periodicity of general multidimensional continued fractions using repetend matrix form	2023	Hanka Řada Štěpán Starosta Vítězslav Kala
+	On generators of commutative semifields	2023	Vítězslav Kala Lucien Šíma
+	Universal quadratic forms and Northcott property of infinite number fields	2023	Nicolas Daans Vítězslav Kala Siu Hang Man
+	Universal quadratic forms and Dedekind zeta functions	2023	Vítězslav Kala Mentzelos Melistas
+ PDF Chat	On Kitaoka's conjecture and lifting problem for universal quadratic forms	2022	Vítězslav Kala Pavlo Yatsyna
+ PDF Chat	Consecutive Real Quadratic Fields with Large Class Numbers	2022	Giacomo Cherubini Alessandro Fazzari Andrew Granville Vítězslav Kala Pavlo Yatsyna
+ PDF Chat	Number fields without universal quadratic forms of small rank exist in most degrees	2022	Vítězslav Kala
+ PDF Chat	Universal Quadratic Forms, Small Norms, and Traces in Families of Number Fields	2022	Vítězslav Kala Magdaléna Tinková
+	On continued fraction partial quotients of square roots of primes	2022	Vítězslav Kala Piotr Miska
+ PDF Chat	Ternary quadratic forms representing a given arithmetic progression	2021	Tomáš Hejda Vítězslav Kala
+	Consecutive real quadratic fields with large class numbers	2021	Giacomo Cherubini Alessandro Fazzari Andrew Granville Vítězslav Kala Pavlo Yatsyna
+	On Kitaoka's conjecture and lifting problem for universal quadratic forms	2021	Vítězslav Kala Pavlo Yatsyna
+	Lifting problem for universal quadratic forms	2020	Vítězslav Kala Pavlo Yatsyna
+	Universal quadratic forms, small norms and traces in families of number fields	2020	Vítězslav Kala Magdaléna Tinková
+	Sums of squares in $S$-integers	2020	Vítězslav Kala Pavlo Yatsyna
+	Sums of squares in $S$-integers	2020	Vítězslav Kala Pavlo Yatsyna
+ PDF Chat	Additive structure of totally positive quadratic integers	2019	Tomáš Hejda Vítězslav Kala
+	Ternary quadratic forms representing arithmetic progressions	2019	Tomáš Hejda Vítězslav Kala
+	Ternary quadratic forms representing a given arithmetic progression	2019	Tomáš Hejda Vítězslav Kala
+	Ternary quadratic forms representing a given arithmetic progression	2019	Tomáš Hejda Vítězslav Kala
+ PDF Chat	Distribution of Class Numbers in Continued Fraction Families of Real Quadratic Fields	2018	Alexander Dahl Vítězslav Kala
+ PDF Chat	Idempotence of finitely generated commutative semifields	2018	Vítězslav Kala Miroslav Korbelář
+ PDF Chat	Periodic representations in algebraic bases	2018	Vítězslav Kala Tomáš Vávra
+	Abelova cena v roce 2018 udělena za Langlandsův program	2018	Vítězslav Kala
+ PDF Chat	On the Rank of Universal Quadratic Forms over Real Quadratic Fields	2018	Valentin Blomer Vítězslav Kala
+ PDF Chat	Universal quadratic forms over multiquadratic fields	2017	Vítězslav Kala Josef Svoboda
+ PDF Chat	Semifields and a theorem of Abhyankar	2017	Vítězslav Kala
+ PDF Chat	Fermat's last theorem and Catalan's conjecture in weak exponential arithmetics	2017	Petr Glivický Vítězslav Kala
+ PDF Chat	Lattice-ordered abelian groups finitely generated as semirings	2017	Vítězslav Kala
+	Arity of universal quadratic forms over real quadratic fields	2017	Valentin Blomer Vítězslav Kala
+	On the rank of universal quadratic forms over real quadratic fields	2017	Valentin Blomer Vítězslav Kala
+	On the rank of universal quadratic forms over real quadratic fields	2017	Valentin Blomer Vítězslav Kala
+	Semifields and a theorem of Abhyankar	2016	Vítězslav Kala
+ PDF Chat	Norms of indecomposable integers in real quadratic fields	2016	Vítězslav Kala
+ PDF Chat	UNIVERSAL QUADRATIC FORMS AND ELEMENTS OF SMALL NORM IN REAL QUADRATIC FIELDS	2016	Vítězslav Kala
+	Semifields and a theorem of Abhyankar	2016	Vítězslav Kala
+ PDF Chat	Number fields without <i>n</i>-ary universal quadratic forms	2015	Valentin Blomer Vítězslav Kala
+	Number of self-dual automorphic representations of GL(N) and depth preservation	2014	Vítězslav Kala
+	Density of self-dual automorphic representations of GLN(AQ)	2014	Vítězslav Kala
+ PDF Chat	Congruences for Ramanujan’s f and ω functions via generalized Borcherds products	2014	Jen Berg Abel Castillo Robert Grizzard Vítězslav Kala Richard A. Moy Chongli Wang
+	Density of Self-Dual Automorphic Representations of GL_n(A_Q)	2014	Vítězslav Kala
+	Finitely generated algebraic structures with various divisibility conditions	2010	Jaroslav Ježek Vítězslav Kala Tomáš Kepka
+	Congruence-simple subsemirings of ℚ+	2010	Vítězslav Kala Miroslav Korbelář
+	Commutative parasemifields finitely generated as semirings	2010	Vítězslav Kala Tomáš Kepka
+	Latin bitrades, dissections of equilateral triangles, and abelian groups	2009	Aleš Drápal Carlo Hämäläinen Vítězslav Kala
+	Addendum to “The existence of Buchsteiner and conjugacy-closed quasigroups”	2009	Vítězslav Kala A.D. Keedwell
+	A note on finitely generated ideal-simple commutative semirings	2008	Vítězslav Kala Tomáš Kepka

Common Coauthors

Coauthor	Papers Together
Pavlo Yatsyna	12
Valentin Blomer	5
Tomáš Hejda	5
Tomáš Kepka	5
Jakub Krásenský	4
Siu Hang Man	4
Miroslav Korbelář	4
Magdaléna Tinková	3
Nicolas Daans	3
Alessandro Fazzari	2
Piotr Miska	2
Hanka Řada	2
Błażej Żmija	2
Mentzelos Melistas	2
Giacomo Cherubini	2
Štěpán Starosta	2
Lucien Šíma	2
Nicolas Daans	2
Mikuláš Zindulka	2
Om Prakash	1
Giuliano Romeo	1
Andrew Granville	1
Seok Hyeong Lee	1
Petr Glivický	1
Jen Berg	1
Robert Grizzard	1
Daejun Kim	1
Ester Sgallová	1
Andrew Granville	1
Tomáš Vávra	1
Aleš Drápal	1
Alexander Dahl	1
Abel Castillo	1
Jaroslav Ježek	1
Chongli Wang	1
Carlo Hämäläinen	1
Martin Widmer	1
A. D. Keedwell	1
Josef Svoboda	1
Dayoon Park	1
Richard A. Moy	1
Pavlo Yatsyna	1
Om Prakash	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Sums of m th Powers of Algebraic Integers	1945	Carl Ludwig Siegel	17
+	Indecomposable totally positive numbers in real quadratic orders	1982	Andreas Dress Rudolf Scharlau	15
+ PDF Chat	UNIVERSAL QUADRATIC FORMS AND ELEMENTS OF SMALL NORM IN REAL QUADRATIC FIELDS	2016	Vítězslav Kala	14
+ PDF Chat	A lower bound for the rank of a universal quadratic form with integer coefficients in a totally real number field	2019	Pavlo Yatsyna	13
+	Lifting problem for universal quadratic forms	2020	Vítězslav Kala Pavlo Yatsyna	12
+ PDF Chat	Universal octonary diagonal forms over some real quadratic fields	2000	B. M. Kim	11
+	Simple Commutative Semirings	2001	Robert El Bashir Jan Hurt Antonín Jančařík Tomáš Kepka	10
+	Representations of positive definite quadratic forms.	1978	Martin Kneser Yoshiyuki Kitaoka J. S. Hsia	9
+ PDF Chat	On the Conway-Schneeberger fifteen theorem	2000	Manjul Bhargava	9
+	Semirings and their Applications	1999	Jonathan S. Golan	9
+ PDF Chat	On continued fractions of given period	1988	Christian Friesen	8
+ PDF Chat	Number fields without <i>n</i>-ary universal quadratic forms	2015	Valentin Blomer Vítězslav Kala	8
+ PDF Chat	Norms of indecomposable integers in real quadratic fields	2016	Vítězslav Kala	8
+ PDF Chat	On the Rank of Universal Quadratic Forms over Real Quadratic Fields	2018	Valentin Blomer Vítězslav Kala	8
+	Universal positive quaternary quadratic lattices over totally real number fields	1997	A. G. Earnest Azar Khosravani	7
+	Finitely generated algebraic structures with various divisibility conditions	2010	Jaroslav Ježek Vítězslav Kala Tomáš Kepka	7
+	Quaternary universal forms over $\mathbf{Q}(\sqrt{13})$	2007	Hideyo Sasaki	7
+	A refinement of the Dress–Scharlau theorem	2015	Se Wook Jang Byeong Moon Kim	7
+ PDF Chat	On Continued Fractions of Given Period	1988	Christian Friesen	6
+ PDF Chat	Ternary universal integral quadratic forms over real quadratic fields	1996	Wai-kiu Chan Myunghwan Kim S. Raghavan	6
+	Über die Darstellung total positiver Zahlen des Körpers R ( $$\sqrt 5 $$ ) als Summe von drei Quadraten5) als Summe von drei Quadraten	1941	Hans Maaß	6
+ PDF Chat	Universality of a non-classical integral quadratic form over Q ( \sqrt 5 )	2009	Jesse Ira Deutsch	6
+ PDF Chat	Distribution of Class Numbers in Continued Fraction Families of Real Quadratic Fields	2018	Alexander Dahl Vítězslav Kala	6
+	A note on finitely generated ideal-simple commutative semirings	2008	Vítězslav Kala Tomáš Kepka	6
+	On the Pythagoras number of orders in totally real number fields.	1980	Rudolf Scharlau	6
+ PDF Chat	On simpleness of semirings and complete semirings	2013	Yefim Katsov Tran Giang Nam Jens Zumbrägel	5
+	On the Class-Number of the Corpus <i>P</i> (√−<i>k</i> )	1928	J. E. Littlewood	5
+ PDF Chat	Universal quadratic forms and indecomposables over biquadratic fields	2018	Martin Čech Dominik Lachman Josef Svoboda Magdaléna Tinková Kristýna Zemková	5
+	On the rank of universal quadratic forms over real quadratic fields	2017	Valentin Blomer Vítězslav Kala	5
+ PDF Chat	Universal quadratic forms over multiquadratic fields	2017	Vítězslav Kala Josef Svoboda	5
+	The distribution of class numbers in a special family of real quadratic fields	2017	Alexander Dahl Youness Lamzouri	5
+	Zur Zerlegung totalpositiver Zahlen in Ordnungen totalreeller algebraischer Zahlk�rper	1983	Horst Brunotte	5
+ PDF Chat	Real quadratic fields admitting universal lattices of rank 7	2021	Byeong Moon Kim Myung‐Hwan Kim Dayoon Park	5
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	5
+ PDF Chat	Additive structure of totally positive quadratic integers	2019	Tomáš Hejda Vítězslav Kala	5
+ PDF Chat	Universal Quadratic Forms, Small Norms, and Traces in Families of Number Fields	2022	Vítězslav Kala Magdaléna Tinková	5
+ PDF Chat	There are no universal ternary quadratic forms over biquadratic fields	2020	Jakub Krásenský Magdaléna Tinková Kristýna Zemková	5
+	Indecomposable integers in real quadratic fields	2019	Magdaléna Tinková Paul Voutier	5
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	5
+	Algebraic Number Theory	1999	Jürgen Neukirch	4
+ PDF Chat	Maslov dequantization, idempotent and tropical mathematics: A brief introduction	2006	G. L. Litvinov	4
+	Berechnung von Zetafunktionen an ganzzahligen Stellen	1979	Carl Ludwig Siegel K. Chandrasekharan H. Maaß	4
+	Elementary and Analytic Theory of Algebraic Numbers	2004	Władysław Narkiewicz	4
+	Tropical Algebraic Geometry	2009	Illia Itenberg Grigory Mikhalkin Eugeniĭ Shustin	4
+	One-generated semirings and additive divisibility	2016	Miroslav Korbelář Günter Landsmann	4
+ PDF Chat	On Kitaoka's conjecture and lifting problem for universal quadratic forms	2022	Vítězslav Kala Pavlo Yatsyna	4
+	Finiteness of real quadratic fields which admit positive integral diagonal septanary universal forms	1999	Byeong Moon Kim	4
+ PDF Chat	Quadratic Forms Representing All Odd Positive Integers	2014	Jeremy Rouse	4
+	Introduction to Quadratic Forms	1973	O. T. O’Meara	4
+	Toward homological structure theory of semimodules: On semirings all of whose cyclic semimodules are projective	2017	S. N. Il’in Yefim Katsov Tran Giang Nam	3