How did Brahms pay homage to Beethoven's music?

Brahms paid homage to Beethoven's music through various means, notably by incorporating elements of Beethoven's structural techniques and thematic development in his own compositions. He admired Beethoven's symphonic form and often sought to elevate his works to a similar level of emotional depth and complexity. Additionally, Brahms's use of motifs and intricate counterpoint reflects Beethoven's influence, particularly evident in his symphonies and chamber music. His dedication of the Piano Sonata No. 3 to Beethoven further signifies his respect and reverence for the earlier composer.