Publications

Mariusz Skałba

Number of publications: 62

2021

• Mariusz Skałba , Absolutely small solutions to a hyperelliptic congruence, Colloquium Mathematicum, 166 (2) 2021, p. 335-340. See in PBN
• Mariusz Skałba , Rational points on three mutually orthogonal great circles, International Journal of Number Theory, 17 2021. See in PBN

2020

• Mariusz Skałba , A note on sums of two squares and sum-of-divisors functions, Integers, 20 (A92) 2020, p. 1-3. See in PBN
• Mariusz Skałba , Mały Gauss, DELTA, (1) 2020, p. 1. See in PBN
• Mariusz Skałba , Kamila Łyczek, Nigdy Cię nie zobaczę?, DELTA, (12) 2020, p. 8-9. See in PBN
• J.L. Ramírez Alfonsín, Mariusz Skałba , Primes in numerical semigroups, Comptes Rendus Mathematique, 358 (9-10) 2020, p. 1001-1004. See in PBN
• Mariusz Skałba , Ziemiolubne liczby i ulotne reszty, DELTA, (553) 2020. See in PBN

2019

• Andrzej Schinzel, Mariusz Skałba , Integral points on circles, Ramanujan Journal, 2019. See in PBN
• Andrzej Schinzel, Mariusz Skałba , Local-global principles for recurrence sequences, Bulletin of the Polish Academy of Sciences. Mathematics, 67 (1) 2019, p. 37-40. See in PBN
• Mariusz Skałba , Multiplicative diophantine equations of a special type, Colloquium Mathematicum, 156 2019, p. 287-294. See in PBN
• Mariusz Skałba , Maciej Ulas, Pairs of Pythagorean triangles with given ratios between catheti, Rocky Mountain Journal of Mathematics, 49 (8) 2019, p. 2779-2789. See in PBN
• Mariusz Skałba , Products of disjoint blocks of integers being high powers, International Journal of Number Theory, 15 (1) 2019, p. 85-88. See in PBN

2018

• Andrzej Schinzel, Mariusz Skałba , Integral points on circles, Hardy-Ramanujan Journal, 41 2018, p. 140 - 142. See in PBN
• Mariusz Skałba , Jak wyciągnąć \sqrt{2} mod n?, DELTA, (535) 2018, p. 8-9. See in PBN
• Mariusz Skałba , Note on Lehmer-Pierce sequences with the same prime divisors, Bulletin of the Australian Mathematical Society, 97 (1) 2018, p. 11-14. See in PBN
• Andrzej Schinzel, Mariusz Skałba , On certain biquadratic equations, II, International Journal of Number Theory, 14 (7) 2018, p. 2095–2105. See in PBN
• Mariusz Skałba , Twierdzenia Fermata różnej wiekości, DELTA, (10) 2018. See in PBN
• Mariusz Skałba , Kamila Łyczek, Złociaków nigdy dosyć, DELTA, 2018, p. 1-1. See in PBN

2017

• Andrzej Schinzel, Mariusz Skałba , An improvement of a lemma from Gauss's first proof of quadratic reciprocity, Bulletin of the Polish Academy of Sciences. Mathematics, 65 (1) 2017, p. 29-33. See in PBN
• Mariusz Skałba , Kto się boi bardziej, czyli współczynnik Arrowa-Pratta, Matematyka Poglądowa, 4 2017, p. 7-10. See in PBN
• Mariusz Skałba , Liczby pierwsze jako niewiadome, DELTA, 7 2017, p. 1-1. See in PBN
• Mariusz Skałba , Note on an analogue of Fermat’s two squares theorem for primes p≡3 (mod 8), International Journal of Number Theory, 13 (1) 2017, p. 129–132. See in PBN
• Mariusz Skałba , Products of distinct integers being high powers, International Journal of Number Theory, 13 (8) 2017, p. 2093-2096. See in PBN

2016

• Andrzej Białynicki-Birula , Mariusz Skałba , Lectures on Number Theory, 2016. See in PBN
• Kamil Rychlewicz, Mariusz Skałba , Najłatwiejsze zadanie?, DELTA, 511 2016, p. 3-4. See in PBN
• Mariusz Skałba , On the Equation a^2+bc=n with Restricted Unknowns, Bulletin of the Polish Academy of Sciences. Mathematics, 64 (2-3) 2016, p. 137-145. See in PBN
• Mariusz Skałba , Reszta jest dziełem człowieka, czyli Fermat i inni, DELTA, (500) 2016, p. 4-6. See in PBN

2014

• Mariusz Skałba , Kodowanie deterministyczne na krzywych eliptycznych, Studia Bezpieczeństwa Narodowego, 6 (2) 2014, p. 125-131. See in PBN
• Mariusz Skałba , Kodowanie deterministyczne na krzywych eliptycznych, Studia Bezpieczeństwa Narodowego, Kryptografia i Bezpieczeństwo Informacji, Warszawa, Poland, 5 June 2014 - 6 June 2014, 6 2014, p. 125-131. See in PBN
• Mariusz Skałba , Naprawdę ciekawa gra, DELTA, (479) 2014, p. 1-4. See in PBN
• Mariusz Skałba , Niewymierność pierwiastka z 2 i jeszcze większe niemożliwości, DELTA, (482) 2014, p. 2-3. See in PBN

2013

• Mariusz Skałba , Michael Drmota, Equidistribution of divisors in residue classes and representations by binary quadratic forms, International Journal of Number Theory, 9 (8) 2013, p. 2011-2018. See in PBN
• Andrzej Schinzel, Mariusz Skałba , On certain biquadratic equations, Archiv der Mathematik, 101 2013, p. 213-218. See in PBN
• Mariusz Skałba , Pochwała nieskończoności?, DELTA, (470) 2013, p. 8-9. See in PBN

2012

• Mariusz Skałba , Linear recurrences as sums of squares, Acta Arithmetica, 2012. See in PBN

2010

• Mariusz Skałba , On the special role of Gompertz mortality law in multiple life contingencies, Roczniki Kolegium Analiz Ekonomicznych, 2010. See in PBN
• Mariusz Skałba , Product of three numbers being a square as a Ramsey property, Colloquium Mathematicum, 2010. See in PBN

2009

• L. Hajdu, Andrzej Schinzel, Mariusz Skałba , Multiplicative properties of sets of positive integers, Archiv der Mathematik, 2009. See in PBN

2005

• Mariusz Skałba , On sets which contain a q-th power residue for almost all prime modules, Colloquium Mathematicum, 2005. See in PBN
• Mariusz Skałba , Points on elliptic curves over finite fields, Acta Arithmetica, 2005. See in PBN
• Mariusz Skałba , Primes dividing both $2^n-3$ and $3^n-2$ are rare, Archiv der Mathematik, 2005. See in PBN

2004

• Mariusz Skałba , On alternatives of polynomial congruences, Bulletin of the Polish Academy of Sciences. Mathematics, 2004. See in PBN
• Andrzej Schinzel, Mariusz Skałba , On equations y^2 = x^n + k in a finite field, Bulletin of the Polish Academy of Sciences. Mathematics, 2004. See in PBN
• Andrzej Schinzel, Mariusz Skałba , On equations y^2=x^n+k in a finite field, Bulletin of the Polish Academy of Sciences. Mathematics, 2004. See in PBN
• Mariusz Skałba , Power residue problem on elliptic curves, Manuscripta Mathematica, 2004. See in PBN
• Mariusz Skałba , Two conjectures on primes dividing 2a+2b+1, Elemente der Mathematik, 2004. See in PBN

2003

• Andrzej Schinzel, Mariusz Skałba , On power residues, Acta Arithmetica, 2003. See in PBN
• Mariusz Skałba , Products of disjoint blocks of consecutive integers which are powers, Colloquium Mathematicum, 2003. See in PBN
• Mariusz Skałba , Towards Bauer, Colloquium Mathematicum, 2003. See in PBN

2000

• M Drmota, Mariusz Skałba , Rarified sums of the Thue-Morse sequence, Transactions of the American Mathematical Society, 2000. See in PBN
• M. Drmota, Mariusz Skałba , The parity of the Zeckendorf sum-of-digits function, Manuscripta Mathematica, 2000. See in PBN
• Mariusz Skałba , Waloryzacja emerytur kapitałowych, Roczniki Kolegium Analiz Ekonomicznych, 2000. See in PBN

1999

• Mariusz Skałba , Ubezpieczenia na życie, 1999. See in PBN

1998

• Mariusz Skałba , On the relative Davenport constant, European Journal of Combinatorics, 1998. See in PBN
• Mariusz Skałba , On zeta-convergence of sequences, Mathematica Slovaca, 1998. See in PBN

1995

• Mariusz Skałba , On Euler-von Mangoldt's equation, Colloquium Mathematicum, 1995. See in PBN
• Gerd Baron, Michael Drmota, Mariusz Skałba , Polynomial relations between polynomial roots, Journal of Algebra, 1995. See in PBN
• Michael Drmota, Mariusz Skałba , Relations between polynomial roots, Acta Arithmetica, 1995. See in PBN
• Michael Drmota, Mariusz Skałba , Sign-changes of the Thue-Morse fractal function and Dirichlet L-series, Manuscripta Mathematica, 1995. See in PBN

1994

• Mariusz Skałba , Generalization of Thue's theorem and computation of the group K_2O_F, Journal of Number Theory, 1994. See in PBN

1993

• Mariusz Skałba , On numbers with a unique representation by a binary quadratic form, Acta Arithmetica, 1993. See in PBN

1983

• Mariusz Skałba , O pewnym problemie z elementarnej teorii liczb, DELTA, 1983. See in PBN