Happel — Hardy. 



497 



Gesetz d. korrespondierenden Grenzkurve, ins- 1 

 besondere über d. Verhalten zweiatom. Stoffe, | 

 6 S. (8, 07). — D. Edelgase, HS. — Versuch I 

 einer Erweiterg. d. Gesetzes d. korrespondieren- j 

 den Zustände, 6 S. — Bemerkg. zu d. Doktor- ' 

 dissertat. v. G van Rij, 5 S. (10. 09). ; 



Zeitschr. f. Math. & Physik: Probleme aus 

 d. Gebiet d. geonietr. Wahrscheinlichkeiten, 

 US. (61, 1912/13). 



Zeitschr. f. physik. Chemie: Ostwald: Be- 

 merkg. zu 2 Arbn. v. Jüptner, 1 S. (61, 1908). 



Siehe R. Gans, H. Kamerlingh 

 Onnes & E. Sommerfeldt. 



Hardy, Godefrey Harold; 1906—19 

 Lekt., Univ., Cambridge, seit 19 Prof., 

 Geom.. Univ., Oxford; * 1877, Febr. 7. 

 (Who's who.) 



Integrat. of functs. of a single variable, London 

 & New York 1906. — A course of pure mathe- 

 matics, 444 S., 2. Aufl., 456 S., London & 

 New York 15. — Ordres of infinity; the infini- 

 tärcalcül of Paul du Bois-Reymond. 70 S., 

 London 10. — The general theory of Dirichlet's 

 series^). 86 S., Cambridge 15. — Some famous 

 Problems of the theory of numbers & in parti- 

 cular Waring's problem, 34 S., Oxford 20. 



Amer. Math. Soe. Trans.: Weierstrass' non- 

 differentiable funct., 25 S. (17, 1916). — On 

 the representat. of a number as the sum of 

 any number of Squares, & in particidar of f ive, 

 30 S. (21, 20). 



CambridEre. Phil. Soc. Proe.: Differentiat. & 

 integrat. of divergent series, 25 S. (19, 1904). 

 — Express, of the double zeta-funct. & double 

 gamma-funct. in terms of elUptic functs., 

 35 S. (30, 08). — Further researches in the 

 theory of divergent series & Integrals, 48 S. — 

 Fouriers double integral & the theory of diver- 

 gent Integrals, 26 S. (21, 12). — On a theorem 

 of Mr. G.Pölya, 4 S. — On the conver- 

 gence of cert. multiple series, 10 S. — Sir 

 George Stokes & the concept of uniform con- 

 vergence, 9 S. — Note on Messrs Shah & 

 Wilson's paper entitled: On a empirical formula 

 connected with Goldbach's theorem^), 10 S. 

 (19, 16/19). — Ramanujan's trigonemetrical 

 funct. Cq (n) & cert. series of arithmetical 

 functs., 9 S. — A theorem concerning summable 

 series, 4 S. (20, 20/21). — Some problems of 

 diophantine approximat.: A further note on 

 the trigonometrical series associated with the 

 elliptic theta-functs.2), 6 S. — A chapter from 

 Ramanujan's note-book. 12 S. (21, 22). 



Cambridge, Piiil. Soc: Trans.: Some problems 

 of diophantine approximat.: the analytic pro- 

 perties of cert. Dirichlet'.s series associated with 

 the distribut. of numbers to modulus unitv^), 

 16 S. (22, 1912—22). 



«Jöttlngen. Ges. d. >Vlss. Nachr.: Some 

 problems of Partitio Numerorum: I: A new 

 solut. of Waring's problem^), 22 S. (1920). 



London. Matli. Soc. Proc: The theory of 

 Cauchy's principal values, 27 S. (3.'», 1902/03). 

 — The convergence of cert. multiple series, 

 5 S. — General theorem concerning absolutely 

 convergent series, 6 S. (1, 04). — The roots 



of the oquat. ,., ,v = c, 7 S. — Note in 

 I (x + l) 



addit. to a former paper on conditionally con- 

 vergent multiple series, 2 S. — The zeroes of 

 cert. classes of integral Taylor series; I: The 



integral funct. 3[ r^f-xi » ^ S. IT: The 



Poggendorif, Biogr.-lit. Handwörterbuch. 



integral funct. 5'^ , 



& other simi- 



lar functs., 31 S. (2, 05). — Method for deter- 

 mining the behaviour of cert. classes of power 

 series near a singular point on the circle of 

 convergence, 9 S. — C'lass of analytic functs., 

 20 S. (3, 05). — The continuum & the second 

 number class, 8 S. — Some theorems connected 

 with Abel's theorem on the continuity of power 

 series, 19 S. (4, 06/07). — The singülarities of 

 functs. defined by Taylor's series, 9 S. — The 

 singular points of cert. classes of functs. of 

 several variables, 19S. (5, 07). — Generalisat. 

 of a theorem in the theory of divergent series, 

 10 S. — Multiplicat. of conditionally conver- 

 gent series, 14 S. (6, 08). — Continuity or dis- 

 continuity of a funct. defined by an infinite 

 product, 9 S. — The theory of Cauchy's prin- 

 cipal values, 28 S. — Integral equat., 28 S. 

 (7, 09). — Applicat. to Dirichlet's series of 

 Borel's exponential method of summat., 18 S. 



— The ordinal relats. of the terms of a conver- 

 gent sequence. 6 S. — Theorems relating to the 

 summability & convergence of slowly oscillating 

 series, 20 S.'(8, 10). — Theorems connected with 

 Maclaurin's te-st for the convergence of series, 

 19 S. (9. 11). — Properties of logarithmico- 

 exponential functs., 37 S. — The multiplicat. 

 of Dirichlet's series, 10 S. — Some results 

 concerning the behaviour at infinity of a real 

 & continuous solut. of an algebraic differential 

 equat. of the first order. 18 S. (10, 11/12). — 

 The relats. betw. Borel's & Cesäro's methods 

 of summat.-), 16 S. — Contributs. of the arith- 

 metic theory of series«), 68 S. (11. 12/13).^ — 

 Extens. of a theorem on oscillating series, 7 S. 



— The summability of Fourier's series, 8 S. 

 (12, 13). — Tauberian theorems concerning 

 power series & Dirichlet's series whose coeffi- 

 cients are positive (m. J. E. Littlev.ood), 16 S. 



— Note on Lambert's series. 7 S. (13, 14). — 

 The mean value of the modulus of an analytic 

 funct., 9 S. (14, 15). — On Dirichlet's divisor 

 problem, 25 S. — The second theorem of consi- 

 stency for summable series, 17 S. — The average 

 Order of the arithmetical functs. P{x) & A (x), 

 22 S. (15, 16). — Asymptotic formula; for the 

 distribut. of integers of various types'), 19 S. 

 (16. 18). — Asymptotic formulse in combinatory 

 analysis^), 4rS. (17, 18). — Additional note 

 on two problems in the analytic theory of 

 numbers, 4 S. — Abel's theorem & its converse«), 

 31 S. (18, 19). — On a Tauberian theorem for 

 Lambert's series, & some fundamental theo- 

 rems in the analytic theory of numbers"), 9 S. 



— On the diophantine equat. a y" -\- h y + c = 

 d xn, 5 S. (19. 20). — The approximate func- 

 tional equat. in the theory of the zeta-funct.. 

 with appUcats. to the divisor-problems of Dirich- 

 let & Piltz=), 36 S. (21, 22/23). 



London. Roy. Soc. Proc: The coefficients in 

 the expansions of cert. modular functs. 2), 12 S. 

 (9.'>, 1919). 



Mattiemat. Ann.: Some theorems concerning 

 infinite series, 18 S. (64, 1907). 



Mathem. Zeitschr.: Note on a theorem of 

 Hilbert, 4 S. (6, 1920). — Some problems of 

 Partitio numerorum; II: Proof that every large 

 number is the sum of at most 21 biquadrates*), 

 14 S. (9, 21). — The zeros of Riemann's Zeta- 

 Funct. on the critical line«). 35 S. (10. 21). — 

 Some problems of Partitio Numerorum; 

 IV: The singular .series in Waring's problem 

 & the value of the number G (k)'-), 28 S. (12, 22). 



Messeneer ot Math.: Note on a theorem of 

 Cesaro, 6 S. — Some points in the integral 



32 



