The Journal of the Indian Mathematical Society

P. Erdos ¹

Affiliations
1 Indian Mathematical society, Powai, Bombay, IN

Abstract

I WROTE SEVERAL papers and review articles on this subject. One of them has in fact the same title (P. Erdos, Problems and results on combinatorial number theory, A survey of combinatorial theory, Edited by J. N. Srivastava, North Holland 1973, 117-138.

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P. D. Elliott ¹, P. Erdos ²

Affiliations
1 University of Nottingham, IN
2 Panjab University, IN

Abstract

A graph G is said to be even if its vertices can be put into two distinct classes A and B so that no two vertices of the same class are joined by an edge.

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P. Erdos ¹, E. G. Straus ²

Affiliations
1 University of British Columbia, CA
2 University of California, Los Angele, US

Abstract

By an Ahmes series we mean a series of reciprocals of positive integers ∑1/n_k. In this note we show that the famous series.

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S. Chowla ¹, P. Erdos ²

Affiliations
1 University of Kansas, US
2 Institute of Numerical Analysis, Los Angeles, US

Abstract

Let (d/n) [where d=0, I (mod 4), d=≠u², u integral] be Kronecker's symbol. Define for s > 0

L_s = Σ (d/n) n^-s.

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H. Davenport ¹, P. Erdos ²

Affiliations
1 University College, London, GB
2 The University, Aberdeen, GB

Abstract

Let a₁, a₂,..., a_m be any finite set of distinct natural numbers, and let b₁, b₂,...be the sequence formed by all those numbers which are divisible by any of a₁, a₂..., a_m. This sequence has a density in the obvious sense and we denote this density by A(a₁ a₂,...a_m).

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