## Beweis eines Satzes von Tschebyschef. [On a proof of a theorem of Chebyshev.] (Separatum. ActaLitterarum ac Scientiarum Regiae Universitatis Hungaricae Francisco-Josephinae.Sectio Scientiarum Mathematicarum. Tom. V. Fasc. III–IV. / A M. Kir. FerenczJózsef-Tudományegyetem tudományos közleményei. Mathematikai tudományok. V. köt.III–IV. füz.) [With 17 additional publications, find details in description.]

Szeged: Az Egyetem és a Rothermere-Alap támogatásával kiadja a M. Kir. Ferencz József-Tudományegyetem Barátainak Egyesülete, 1932. Offprint first edition. Presentation copy, inscribed by the author. Text in German. Papered spine. pp. [193]–198. Pages yellowed due to aging, otherwise in fine condition.

Inscribed offprint of Erdős’ first publication, a proof of the Bertrand-Chebyshev theorem.

Erdős’ first paper, written at age 19 as a freshman at the university in Budapest, a major contribution to number theory, a proof of the Bertrand-Chebyshev theorem, using basic properties of binomial coefficients. “Erdős's proof stunned the international mathematical community with its brevity and elegance. It gave [the] world its first taste of a proof style that was to become indelibly associated with Paul Erdős” (Hill, 2004).

Originally published in Acta Litterarum ac Scientiarum […] [Acta Litt. Sci. Szeged 5 (1932)], exceedingly scarce as an offprint, we could not trace any copies in institutional holdings worldwide.

Zbl. 4,101; Grossman 1932.01

Literature: Grossman, J.: List of Publication of Paul Erdős, September 2010. Retrieved from https://oakland.edu/Assets/upload/docs/Erdos-Number-Project/erdpubs.2010.pdf; Hill, J. (2004, 4 June): Paul Erdős: Mathematical Genius, Human (In That Order). Retrieved from https://www.untruth.org/~josh/math/Paul%20Erd%F6s%20bio-rev2.pdf

**Erdős, Pál [Paul]:** Egy Kürschák-féle elemi számelméleti tétel általánosítása. [Generalization of an Elementary Number-Theoretic Theorem of Kürschák.] (Sonderabdruck aus “Matematikai és Fizikai Lapok” Band XXXIX. Budapest 1932. / Különlenyomat a “Matematikai és Fizikai Lapok”XXXIX. kötetéből. Budapest 1932.)

[Budapest]: [Matematikai és Fizikai Lapok. XXXIX.],[1932]. pp. [17]–24.

Offprint first edition. Text in Hungarian with a German abstract. Papered spine. Pages yellowed due to aging, otherwise in fine condition.

Offprint edition of Erdős’ second publication, dealing with the Egyptian fraction.

Erdős’ second paper, written at age 19 as a freshman at the university in Budapest, in which he generalizes an elementary result of József Kürschak (A harmonikus sorról [On Harmonic Progression], 1918), and proves that the sum of the reciprocals of any number of equally spaced integers is never a reciprocal.

Originally published in Matematikai és Fizikai Lapok [Mat. Fiz. Lapok 39 (1932)], exceedingly scarce as an offprint, we could not trace any copies in institutional holdings worldwide.

Zentralblatt 7,103; Grossman 1932.01

Literature: Grossman, J.: List of Publication of Paul Erdős, September 2010. Retrieved from https://oakland.edu/Assets/upload/docs/Erdos-Number-Project/erdpubs.2010.pdf; Weisstein, E. W.: Egyptian Fraction. From MathWorld – A Wolfram Web Resource, Retreived from https://mathworld.wolfram.com/EgyptianFraction.html

**Erdős, Paul:** A Theorem of Sylvester and Schur. (Extracted from the Journal of the London Mathematical Society, Vol. 9, Part 4.)

[London]: [Journal of the London Mathematical Society(Printed by C. F. Hodgson & Son)], [1934]. pp. [282]–288 [1].

Offprint first edition. Text in English. In publisher’s green printed wrappers. In fine condition.

Offprint of Erdős’ first papers in English, written in 1934, soon after his arrival to England for a postdoctoral fellowship at Manchester.

Scarce as an offprint, WorldCat locates no copies of such edition in institutional holdings.

Zbl. 10,103; Grossman 1934.01

**Erdős, Paul; Turán, Paul:** On a Problem in the Elementary Theory of Numbers. (Reprinted from the American Mathematical Monthly. Vol. XLI, No. 10 December, 1934.)

USA: American Mathematical Monthly, 1934. pp. [1] [608]–611 [1].

Offprint first edition. In publisher’s gray printed wrappers. In fine condition.

Erdős’ first American publication, also the first co-authored with Paul Turán.

Offprint of Erdős’ early paper co-authored with Paul Turán, written in 1934. The two had a long collaboration, lasting 46 years and resulting in 28 joint papers.

Scarce as an offprint, WorldCat locates no copies of such edition in institutional holdings.

Zbl. 10,294; Grossman 1934.03

**Erdős, Paul:** On the Density of the Abundant Numbers. (Extracted from the Journal of the London Mathematical Society, Vol.9, Part 4.)

[London]: [Journal of the London Mathematical Society (Printed by C. F. Hodgson & Son)], [1934]. pp. [278]–282 [1].

Offprint first edition. Text in English. Papered spine. In fine condition.

Offprint of one of the earliest papers of Erdős in English, written in 1934, soon after his arrival to England for a postdoctoral fellowship at Manchester.

Scarce as an offprint, WorldCat locates no copies of such edition in institutional holdings.

Zbl. 10,103; Grossman 1934.04

**Erdős, Paul; Szekeres, George:** A Combinatorial Problem in Geometry. (Compositio Mathematica. Volumen 2, Fasciculus 3. (14 X 1935).)

Groningen: P. Noordhoff, 1935. pp. [463]–470. Separate first edition. Text in English. In publisher’s green, printed wrappers. With a few marginal notes in pencil on the first two leaves. Otherwise in fine condition.

The separate first edition of Erdős’ early paper co-authored with George Szekeres in 1934, published in The Netherlands as part of Compositio Mathematica. In this paper, Erdős and Szekeres proved a combinatorial problem proposed by Esther Klein-Szekeres in 1933, which was eventually named by Erdős as the Happy Ending Problem, because it led to Klein’s marriage to George Szekeres in 1937.

Scarce as a separate pamphlet, especially with the original wrappers. WorldCat locates no copies in such conditions in institutional holdings.

Zbl. 12,270; Grossman 1935.01

**Erdős, Paul:** On Primitive Abundant Numbers. (Extracted from the Journal of the London Mathematical Society, Vol. 10, Part 1.)

[London]: [Journal of the London Mathematical Society (Printed by C. F. Hodgson & Son)], [1935]. pp. [49]–58 [2].

Offprint first edition. Text in English. In publisher’s green printed wrappers. In fine condition.

Offprint of Erdős’ early paper in English, written in 1934, soon after his arrival to England for a postdoctoral fellowship at Manchester.

Scarce as an offprint, WorldCat locates no copies of such edition in institutional holdings.

Zbl. 10,391; Grossman 1935.05

**Erdős, Paul:** On the Normal Number of Prime Factors of P − 1 and Some Related Problems Concerning Euler’s φ-Function. (Reprinted from the Quarterly Journal of Mathematics Oxford Series. Volume 6. No. 23 September 1935.)

[Oxford]: [Oxford University Press], [1935]. pp. [205]–213 [1].

Offprint first edition. Presentation copy: “With the author’s compliments” on the front cover. Text in English. In publisher’s blue printed wrappers. In fine condition.

Offprint of Erdős’ early paper in English, written in 1934, soon after his arrival to England for a postdoctoral fellowship at Manchester.

Scarce as an offprint, WorldCat locates no copies of such edition in institutional holdings.

Zbl. 12,149; Grossman 1935.08

**Erdős, Paul:** Über die Primzahlen gewisserarithmetischer Reihen. (Mathematische Zeitschrift. Sonderabdruck aus Band 39, Heft 4.)

Berlin: Verlag von Julius Springer, 1935. pp. [2] [473]–491 [3].

Offprint first edition. Papered spine. In fine condition.

Erdős’ final thesis at the University of Budapest, which was also his first publication in Germany.

Erdős’ gained his doctorate at the Royal Hungarian Pázmány Péter University in 1934 with the present thesis, which was first published in the German Mathematische Zeitschrift in 1935.

Scarce as an offprint, WorldCat locates no copies of such edition in institutional holdings.

Zbl. 10,293; Grossman 1935.10

**Erdős, Paul:** A Generalization of a Theorem of Besicovitch. (Extracted from the Journal of the London Mathematical Society, Vol. 11, 1936.)

[London]: [Journal of the London Mathematical Society (Printed by C. F. Hodgson & Son)], [1936]. pp. [92]–98 [1].

Offprint first edition. Text in English. In publisher’s green printed wrappers. In fine condition.

Offprint of Erdős’ early paper in English, written in 1935, while on his postdoctoral fellowship at Manchester.

Scarce as an offprint, WorldCat locates no copies of such edition in institutional holdings.

Zbl. 14,11; Grossman 1936.01

**Erdős, Paul:** On the arithmetical density of the sum of two sequences one of which forms a basis for the integers. (Acta Arithmetica. 1, 2.)

Warszawa: Seminarjum Matematyczne Uniwersytetu, 1936. pp. [197]–200.

First edition. Text in English. In publisher’s orange, printed wrappers. Pages yellowed due to aging. Overall in fine condition.

The first edition of Erdős’ early paper, printed in Poland as part of the Acta Arithmetica.

Scarce as a separate pamphlet, especially with the original wrappers. WorldCat locates no copies in such conditions in institutional holdings.

Zbl. 13,150; Grossman 1936.06

**Erdős, Paul:** On the Integers which Are the Totient of a Product of Three Primes. (Reprinted from the Quarterly Journal of Mathematics Oxford Series. Volume 7. No. 25 March. 1936.)

[Oxford]: [Oxford University Press], [1936]. pp. [1] [16]–199 [1].

Offprint first edition. Text in English. In publisher’s blue printed wrappers. In fine condition.

Offprint of Erdős’ early paper in English, written in 1935, while on his postdoctoral fellowship at Manchester.

Scarce as an offprint, WorldCat locates no copies of such edition in institutional holdings.

Zbl. 13,246; Grossman 1936.07

**Erdős, Paul:** On the Integers which Are the Totient of a Product of Two Primes. (Reprinted from the Quarterly Journal of Mathematics Oxford Series. Volume 7. No. 27 Sept. 1936.)

[Oxford]: [Oxford University Press], [1936]. pp. [227]–229 [1].

Offprint first edition. Presentation copy: “With the author’s compliments” on the front cover. Text in English. In publisher’s blue printed wrappers. In fine condition.

Offprint of Erdős’ early paper in English, written in 1936, while on his postdoctoral fellowship at Manchester.

Scarce as an offprint, WorldCat locates no copies of such edition in institutional holdings.

Zbl. 15,5; Grossman 1936.08

**Erdős, Paul:** On the Representation of an Integer as the Sum of k k-th Powers (Extracted from the Journal of the London Mathematical Society,Vol. 11, 1936.)

[London]: [Journal of the London Mathematical Society (Printed by C. F. Hodgson & Son)], [1936]. pp. [133]–136.

Offprint first edition. Text in English. Papered spine. In fine condition.

Offprint of Erdős’ early paper in English, written in 1935, while on his postdoctoral fellowship at Manchester.

Scarce as an offprint, WorldCat locates no copies of such edition in institutional holdings.

Zbl. 13,390; Grossman 1936.09

**Erdős, Paul; Turán, Paul:** [Cover title:] On Interpolation I. Quadrature- and Mean Convergence in the Lagrange-Interpolation. (Reprinted from Annals of Mathematics. Vol. 38, No. 1,January 1937.)

United States of America: [Annals of Mathematics], 1937. pp. [1] [142]–155 [1].

Offprint first edition. In publisher’s printed wrappers. In fine condition.

Erdős’ early American publication, co-authored with Paul Turán.

Offprint of Erdős’ early paper co-authored with Paul Turán, written in 1936. The two had a long collaboration, lasting 46 years and resulting in 28 joint papers.

Scarce as an offprint, WorldCat locates no copies of such edition in institutional holdings.

Zbl. 16,106; Grossman 1937.04

**Erdős, Paul; Rényi, Alfréd:** On a Classical Problem of Probability Theory. Separatum. (Publications of the Mathematical Institute of the Hungarian Academy of Science. Volume VI. Series A, Fasc. 1–2. 1961.)

Budapest: Akadémiai Kiadó, 1961. pp. 215–220.
Offprint first edition. Text in English. In publisher’s printed wrappers. In fine condition.

**Erdős, Paul:** Some Unsolved Problems. Separatum. (Publications of the Mathematical Institute of the Hungarian Academy of Science. Volume VI. Series A, Fasc. 1–2. 1961.)

Budapest: Akadémiai Kiadó, 1961. pp. 221–254.

Offprint first edition. Text in English. In publisher’s printed wrappers. In fine condition.

**Erdős,Paul; Rényi, Alfréd:** [On a Problem of Graph Theory.] Egy gráfelméleti problémáról. Separatum. (Publications of the Mathematical Institute of the Hungarian Academy of Science. Volume VII. Series B,Fasc. 4. 1962.)

Budapest: Akadémiai Kiadó, 1963. pp. 623–641 [1].

Offprint first edition. Text in Hungarian. In publisher’s printed wrappers. In fine condition.

.

**
Price:
€45,000.00
**