Results 1 to 10 of about 40 (40)
Capitulation of the 2-ideal classes of type (2, 2, 2) of some quartic cyclic number fields
Journal of Mathematical Cryptology, 2019 Let p≡3(mod4){p\equiv 3\pmod{4}} and l≡5(mod8){l\equiv 5\pmod{8}} be different primes such that pl=1{\frac{p}{l}=1} and 2p=pl4{\frac{2}{p}=\frac{p}{l}_{4}}. Put k=ℚ(l){k=\mathbb{Q}(\sqrt{l})}, and denote by ϵ its fundamental unit. Set K=k(-2pϵl){K=k(
Azizi Abdelmalek +3 more
doaj +1 more source
Continued fractions and class number two
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 9, Page 565-571, 2001., 2001 We use the theory of continued fractions in conjunction with ideal theory (often called the infrastructure) in real quadratic fields to give new class number 2 criteria and link this to a canonical norm‐induced quadratic polynomial. By doing so, this provides a real quadratic field analogue of the well‐known result by Hendy (1974) for complex quadratic
Richard A. Mollin
wiley +1 more source
Update in Small Bowel Physiology: Part 2
Canadian Journal of Gastroenterology and Hepatology, Volume 4, Issue 8, Page 503-516, 1990., 1990 The recent advances in clinically important diseases of the small intestine have been reviewed however, the basis for many of these clinical advances rests with important observations on alterations in the physiology of the small intestine, as well as mechanistic observations of alterations in small 1nrestinal function in models of human disease.
RJ Fingerote +4 more
wiley +1 more source
On squares in polynomial products
, 2009 9 páginas.-- Mathematics Subject Classification (2000) 11L40 · 11N36 · 11R11.Let f (X) ∈ Z[X] be an irreducible polynomial of degree D ≥ 2 and let N be a sufficiently large positive integer.
Cilleruelo, Javier +4 more
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Class Number Two for Real Quadratic Fields of Richaud-Degert Type [PDF]
, 2009 2000 Mathematics Subject Classification: Primary: 11D09, 11A55, 11C08, 11R11, 11R29; Secondary: 11R65, 11S40; 11R09.This paper contains proofs of conjectures made in [16] on class number 2 and what this author has dubbed the Euler-Rabinowitsch polynomial
Mollin, R. A.
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Lower Bound for the Class Number of Q49m2+4m
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, we obtain an explicit lower bound for the class number of real quadratic field QD, where D = 49m2 + 4m is a square‐free positive integer and m ≡ 2 (mod 7) be an odd positive integer. The main tools used are special values of zeta functions for ideal classes of the respective real quadratic fields.
Rahaf Jihny +3 more
wiley +1 more source
Criterion for Class Number of the Family Q254m2+m to be Greater Than or Equal to Three
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we present an explicit lower bound for the class number of real quadratic field k=QD, where D = 25m2 + 4m is a square‐free integer and m ≡ 4 (mod 5) is an odd positive integer.
Ahmad Issa, Huadong Su
wiley +1 more source
On the class-number of the maximal real subfield of a cyclotomic field
, 2016 For any square-free positive integer m, let H(m) be the class-number of the field Q(ςm+ςm-1 ), where ςm is a primitive m-th root of unity. We show that if m = {3(8g + 5)}2 - 2 is a square-free integer, where g is a positive integer, then H(4m) > 1 ...
Saikia, Helen K., Hoque, Azizul
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Cytokimera GIL-11 rescued IL-6R deficient mice from partial hepatectomy-induced death by signaling via non-natural gp130:LIFR:IL-11R complexes. [PDF]
Commun Biol, 2023 Rafii P +11 more
europepmc +1 more source
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