Abstract
Leonhard Euler was the first to use “L-functions” to get number-theoretic results when he showed that infinitely many primes exist by proving that the series of reciprocals of primes diverges. P G L Dirichlet then used this approach to prove infinitude of primes in arithmetic progression by considering the L-series associated to a Dirichlet character. (Incidentally, it was Dirichlet who used the letter “L” (for Lejune?) to denote the series he used.)
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© 2003 Hindustan Book Agency
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Yogananda, C.S. (2003). L-Functions of modular forms. In: Bhandari, A.K., Nagaraj, D.S., Ramakrishnan, B., Venkataramana, T.N. (eds) Elliptic Curves, Modular Forms and Cryptography. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-15-6_17
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DOI: https://doi.org/10.1007/978-93-86279-15-6_17
Publisher Name: Hindustan Book Agency, Gurgaon
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