The Indian Institute of Science Education and Research Thiruvananthapuram (IISER Thiruvananthapuram) has released the ...

The classical Dirichlet approximation theorem, whose standard proof is a simple application of the Pigeonhole Principle, says that given any irrational number $\alpha ...

New Number Theory papers from https://t.co/NKuVGAyUNC: prime numbers, diophantine equations. Thank you to arXiv for use of its open access interoperability.

New Number Theory papers from https://t.co/NKuVGAyUNC: prime numbers, diophantine equations. Thank you to arXiv for use of its open access interoperability.

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The winner of the 2004 Nobel Prize in physics, UC Santa Barbara’s David J. Gross was cited for “a lifetime of groundbreaking contributions to theoretical physics, from the strong force to string ...

Two young UC Berkeley faculty members, Yunqing Tang of mathematics and Benjamin Safdi of physics, are among the winners of this year’s New Horizons Prizes, awarded annually by the Breakthrough ...

this lane carries forward ideas derived from earlier discussions with different AI nodes on the Codex 67 lattice that pathway shows the evolution of the research and the progress of the work the goal ...

ABSTRACT: We investigate exponential Diophantine triples of order 2, which are sets of three integers { x,y,z } , with x,y,z>1 , satisfying ( x 2 −1 )( y 2 −1 )+1 , ( x 2 −1 )( z 2 −1 )+1 , ( y 2 −1 ) ...

Gerd Faltings has won the 2026 Abel Prize, considered the Nobel prize of mathematics, for a groundbreaking proof which took mathematics by storm in 1983. His contributions helped establish one of the ...

Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry. By Kenneth Chang A German mathematician, Gerd Faltings, is this year’s winner ...

ABSTRACT: We construct matrix strong exponential Diophantine m-tuples of order n . We construct matrix strong exponential Diophantine 540-tuples of order n . We show that matrix strong Diophantine ...