Prace Jerzego Urbanowicza z matematyki czystej

• Autorzy: Schinzel A.
• Języki publikacji: PL

Słowa kluczowe

PL

Urbanowicz Jerzy; matematyka czysta; prace naukowe

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Wiadomości Matematyczne
• Rocznik: 2013
• Tom: T. 49, Nr 1
• Strony: 21--28
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Schinzel A.

• Instytut Matematyczny Polskiej Akademii Nauk

Bibliografia

• [1] On the 2-primary part of a conjecture of Birch- Tate, Acta Arith. 43 (1983), 69-81. Corrigendum, ibid. 64 (1983), 99.
• [2] On the divisibility of generalized Bernoulli numbers, Contemp. Math. 55 (1986), 711-728.
• [3] On elements of given order in K2F, J. Pure Appl. Algebra 50 (1988), 295-307.
• [4] On the divisibility of wm+1, (F+)(F+(—m) for cyclotomic fields F, Com- mun. Algebra 16 (1988), 1315-1323.
• [5] Remarks on the equation lk + 2k + … + (x l)fe = xk, Indag. Math. 50 (1988), 343-348.
• [6] On the equation /(l)lfc + /(2)2fe H f f{x)xk + R(x) = byz, Acta Arith. 51 (1988), 349-368.
• [7] Connections between B2x for even quadratic Dirichlet characters \ and class numbers of appropriate imaginary quadratic fields. Part I, Compositio Math. 75 (1990), 247-270.
• [8] Connections between B2x for even quadratic Dirichlet characters \ and class numbers of appropriate imaginary quadratic fields. Part II, Compositio Math. 75 (1990), 271-285. Errata, ibid. 77 (1991), 119-125.
• [9] A generalization of the Lerch -Mordell formulas for positive discriminants, Colloq. Math. 59 (1990), 197-202.
• [10] Remarks on the Stickelberger ideals of order 2, Contemp. Math. 126 (1992), 179-192.
• [11] A note on K2 of the rings of integers of totally real number fields, Contemp. Math. 126 (1992), 147-150.
• [12] On some new congruences between generalized Bernoulli numbers, Part I, Publ. Math. Fac. Sci. Besanęon, Theorie des Nombres, Annees (1989/90).
• [13] On some new congruences between generalized Bernoulli numbers, Part II, Publ. Math. Fac. Sci. Besanęon, Theorie des Nombres, Annees (1989/90). Corrigendum, ibid. Annees 1992/93-1993/94.
• [14] Divisibility properties of integers x, k satisfying lk + 2k + h (x — l)fc = xk, Math. Comput. 63 (1994), 799-815 (współautorzy: P. Moree, H. T. te Riele).
• [15] On diophantine equations involving sums of powers with quadratic characters as coefficients, Part I, Compositio Math. 92 (1994), 249-271.
• [16] On diophantine equations involving sums of powers with quadratic characters as coefficients, Part II, Compositio Math. 102 (1996), 125-140.
• [17] Congruence among generalized Bernoulli numbers, Acta Arith. 71 (1995), 273-278 (współautorzy: J. Szmidt, D. Zagier).
• [18] On linear congruence relations related to 2-adic dilogarithms, Publ. Math. Fac. Sci. Besanęon, Theorie des Nombres, Années (1994/95), 39 pp. (współautor: A. Wójcik).
• [19] On class numbers and short sums of Kronecker symbols, J. Number Theory 78 (1999), 62-84 (współautorzy: A. Schinzel, P. van Wamelen).
• [20] Gauss’ congruence from Dirichlet’s class number formula and generalizations, Number Theory in Progress 2 (1999), 813-840 (współautorzy: G. J. Fox, K. S. Williams).
• [21] On optimal linear congruences for L,2{k,χω~k), Publ. Math. Debrecen 56 (2000), 677-711.
• [22] Divisibility properties of generalized Vandermonde determinants, Acta Arith. 110 (2003), 361-379 (współautorzy: S. Spież, P. van Wamelen).
• [23] On linear congruence relations for Kubota-Leopoldt 2-adic L-functions, J. Number Theory 98 (2003), 195-216 (współautor: P. van Wamelen).
• [24] On some new congruences for generalized Bernoulli numbers, Acta Arith. 155 (2012), 247 -258 (współautorzy: S. Kanemitsu, N.-L. Wang).
• [25] On congruences for the sums Σ…of E. Lehmer’s type with an appendix by T. Kuzumaki and J. Urbanowicz „On congruences for the sums Σ… of E. Lehmer’s type”, J. Number Theory, złożona (współautorzy: S. Kanemitsu, T. Kuzumaki).
• [26] On congruences for certain binomial coefficients of E. Lehmer’s type, [w:] Arithmetic in Shangrila, Proc. 6th China-Japan Sem. Number Theory (S. Kanemitsu, H.-Z. Li, J.-Y. Liu, red.), World Sci., Singapore-London New Jersey 2012, 132-139 (współautor: T. Kuzumaki).
• [27] Congruences for L-functions, Mathematics and Its Applications, t. 511, Kluwer Academic Publishers 2000 (współautor: K. S. Williams).
• Prace cytowane innych autorów
• [28] J. Browkin, Elements of small order in K2F, [w:] Algebraic K-theory, t. 966, Springer, Berlin 1982, 1-6.
• [29] G. Gras, Delations congruentielles lineaires entre nombres de classes de corps quadratiques, Acta Arith. 52 (1989), 147-162.
• [30] K. Hardy, K. S. Williams, A congruence relating the class numbers of complex quadratic fields, Acta Arith. 47 (1986), 263-276.
• [31] M. Lerch, Essai sur le calcul du nornbre des classes de formes quadratiques binaires aux coefficients entiers, Acta Math. 29 (1905), 333-424.
• [32] A. Wiles, The Iwasawa conjecture for totally real fields, Ann. of Math. 131 (1990), nr 2, 493-540.
• [33] A. Wójcik, Linear congruence relations for 2-adic L-series at integers, Compos. Math. Ill (1998), 289-304.