Dickson — Dieckmann. 



289 



congruences & modular invar., 6 S. — Irreduci- 

 bility of a reciproc. equat., 5 S. (14, 08). — 

 Representat. of numbers by modular forma, 

 9 S. (15, 09). — Factorizat. of functs. with 

 p-adic coeffic, 5 S. — Hensel's theory of algebr. 

 numbers. (Theorie d. algebr. Zahlen, von K. 

 Hensel), 14 S. — Negative discrimin. with 

 Single class of binary quadratic forms, 4 S. (17, 

 10). — Binary modular groups & their invar., 

 3 S. (20, 13). — Invar., seminvar. & covar. of 

 the ternary & quaternary quadratic form mo- 

 dulo 2, 6 S. (21, 14/15). — Linear algebras & 

 continuous groups, 9 S. (22, 15/16). —Extension 

 of the theory of numbers bv corresponden- 

 ces betw. fields, 3 S. (23, 16/17). — Mathema- 

 tics in war perspective, 23 S. — Applicats. of 

 the geom. of numbers to algebr. numbers, 3 S. 

 (25, 18/19). — Fallacies & misconcepts. in 

 diophantine analysis, SS. — New method in 

 diophantine analysis, 13 S. (27, 20/21). — 

 Impossibility of restoring unique factorizat. 

 in a hypercomplex crithmetic, 6 S. (28, 22). 



Amer. Math. Soc. Trans.: Definits. of a 

 field by independ. postulates, 8 S. — D" of 

 a linear associat. algebra by independ. post., 

 7 S. — The subgroups of order a power of p 

 in the quaternary AbeLian group in the Galois 

 field of Order p ', 16 S. — Reducibility of linear 

 groups, 3 S. (4, 1903). - — Subgroups of ortho- 

 gonal group, 38 S. — Subgroups of simple 

 group of Order 25920, 41 S. (5, 04). — Mini- 

 mum degree r of resolvents f or p-sect. of periods 

 of hyperelliptic functs. of 4 periods, 10 S. — 

 Definits. of a group & a field by independ. 

 postulates, 7 S. — Semi-groups, 4 S. — Hyper- 

 complex numbers, 5 S. (6, 05). — Quadratic, 

 Hermitian & bilinear forms, 18 S. — Division 

 algebras, 21 S. — Commutative division alge- 

 bras, 9 S. (7, 06). — Invar. under modular 

 transformats., 28 S. — Modular theory of 

 group-matrices, 10 S. (8, 07). — Representats. 

 of the Symmetrie group as linear groups, 28 S. 

 (9, 08). — Definite forms in a finite field, 14 S. 



— General theory of modular invar., 36 S. 



— Equival. of pairs of bilinear or quadratic 

 forms, 14 S. (10, 09). — Investigat. of irreducible 

 binary modular forms, 18 S. — Fundamental 

 System of invar. of general modular linear 

 group with a solut. of the form problem, 23 S. 

 (12, 11). — Linear algebras, 15 S. (13, 12). — 

 Finiteness of modular covariants, 16 S. — 

 Linear algebras & Abelian equats., 16 S. — 

 Linear associative algebras & Abelian equats., 



16 S. — Invar. in the theory of numbers, 9 S. 

 (15, 14). — Quartic curves modulo 2, 10 S. 

 (IG, 15). — Polynomials expressible as deter- 

 min. with linear elements, 13 S. (22, 21). 



Ann. of Math. Harvard Coli.: Binarv linear 

 groups modulo 3, 5 S. (5, 1903/04). — Applicat. 

 of groups to a complex problem in arranje- 

 ments, 14 S. (6, 04). — Real elements of 

 georaetr. configurats., 10 S. (6, 05). — Cubic 

 equats. & congruences, 4 S. (12, 11). — Rank 

 of a Symmetrie, matrix, 2 S. — Invar. of quar- 

 tic form modulo 2, 4 S. (13, 13). — Points of 

 inflexion of a plane cubic curve, 17 S. — Pro- 

 jective classificat. of cubic surfaces modulo 2, 

 19 S. (1«, 14). — Fermat's last theorem & the 

 origin & natura of algebr. numbers, 27 S. 

 (18, 17). — On quaternions & their generali- 

 zat. & the history of the eight-square theorem, 



17 S. (20, 19). — Reducible cubic forms ex- 

 pressible as determinants, 5 S. — Fundament. 

 System of covariants of ternary cubic form, 

 5 S. (23, 21). 



Oöttlneen. Gos. d. WIss. Nachr.: On finite 

 algebras, 36 S. (1905). 



Poggendorff, Biogr.-lit. Handwörterbuch. 



Jahresber. d. Deut. Math. Vereinigg.: The 



minimum degree of resolvents for the p-sect. 

 of the periods of hyperelliptic functs. of 4 periods 

 2 S. (13, 1904). 



Journ. de matb.: Liouville: A new simple 

 theory of hypercompl. integers, 46 S. (2, 1922). 



Journ. f. d. reine u. angew. Math.: Congruence 

 a;" + y " -j- 2' — (mod p), 8 S. — Lower 

 limit of number of soluts. of z' -\- y -\- z« 

 E^ (mod p), 8 S. (135, 1909). 



London, Math. Soc. Proc: The groups defined 

 for an arbitrary field by the multiplicat. tables 

 of cert. finite groups, 13 S. — The abstract 

 group simply isomorph, with the group of 

 linear fractional transformats. in a Galois field, 

 14 S. — Generat. relats. of an abstract simple 

 group of order 4080, 13 S. — Generat. rel. for 

 the abstract group simply isomorph, with the 

 linear fract. group in the GF (2"), 12 S. (35, 

 02/03). — Addit. to the paper on the 4 knowr 

 simple linear groups of order 25920, 2 S. 

 (1, 04). — Invar. of the general quadratic form 

 modulo 2, 24 S. (5, 07). — Modular invariants 

 of linear forms, 15 S. (7, 09). — Arith. of 

 quaternions, 8 S. (20, 21). 



Mathemat. Ann.: The alternating group on 

 8 letters & the quaternary linear congruence 

 group modulo 2, 6 S. (54, 1901). — The hyper- 

 orthogonal groups, 52 S. (55, 02). — New 

 System of simple groups, 14 S. (60, 05). 



Messenger of Math.: New extens. of Diri- 

 chlet's theorem on prime numbers, 6 S. (33, 

 1904). — Last theorem of Fermat, 19 S. (38, 

 08). — Diophantine equats., 2 S. (39, 09). — 

 Classificat. of quartic curves, modulo 2, 4 S. 

 (44, 14). 



Paris, Acad. C. R.: Les polynomes egaux k 

 des determinants, 3 S. (171, 1920). — La com- 

 posit. des polyn., 5 S. (172, 21). 



Quart. Journ. of pure a. appl. Math.: Sub- 

 groups of linear group modulo p, 12 S. (36, 

 1905). — Abstract form of linear group in an 

 arbitrary field, 4 S. — Abstract form of Abelian 

 linear group, 14 S. (38, 07). — Groups connect- 

 ed with 27 linies on a cubic surface, 5 S. — 

 Families of quadratic forms, 18 S. (39, 08). — 

 Last theorem of Fermat, 19 S. (40, 08). — 

 Commutative linear groups, 30 S. — Combi- 

 nants, 18 S. (40, 09). — Modular invariants, 

 4 S. — Non-vanishing forms, 9 S. (42, 10). — 

 Theorems & tables on the sum of the divisors 

 of a number, 33 S. (44, 13). — Modular invari- 

 ants of System of binary cubic, quadratic & 

 linear form, 10 S. (45, 14). 



Straßbourg, Congr. math., C. R.: Relats. 

 between theory of numbers & other branches 

 of math., 16 S. — Homogeneous polynomials 

 with a multiplic. theorem, 16 S. (1920). 



Scientia: Theory of numbers, 10 S. (1922). 



Scientific Monthly: Perfect & amicable 

 numbers, 6 S. (12, 1921). — What is the theory 

 of numbers?, 9 S. (13, 22). 



Washington, Proc. Acad.: Recent progress 

 in the theories of modular & formal invar. & 

 in mod. geom., 4 S. — The straight lines on 

 mod. cubic surf., 6 S. (1, 1915). — Quaternions 

 & their generalizats., 6 S. (7, 21). 



Dieckmann, Max, Dr. phil. nat. 1907 

 Straßburg; stud. 03— 07 Göttingon, Leip- 

 zig, München, Straßburg; seit 11 Privat- 

 doz., Tcchn. Hochsch., München; * 1882, 

 Juli 5, Hermannsacker b. Stolberg am 

 Harz. (Eig. Mitt.) 



Experimentelle Untersuchgn. aus d. Grenz- 

 gebiet zw. drahtloser Telegraphie & Luftelek- 



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