Zobrazeno 1 - 10 of 384 pro vyhledávání: '"M. Ram Murty"'
1
Elektronická kniha
An Introduction to Sieve Methods and Their Applications
Autor: Alina Carmen Cojocaru, M. Ram Murty
Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even number can be written as the sum of two prime numb
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3
Akademický článek
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4
On the normal number of prime factors of sums of Fourier coefficients of eigenforms
Autor: M. Ram Murty, Sudhir Pujahari, V. Kumar Murty
Publikováno v: Journal of Number Theory. 233:59-77
We study the normal number of prime factors of a f ( p ) + a g ( p ) with p prime and f , g distinct Hecke eigenforms of weight two. Assuming a quasi-generalized Riemann hypothesis, we show that the normal order is log log p . We also obtain an estim
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2e70ddb6fa8ccce8f1e14dd0e19f878f
https://doi.org/10.1016/j.jnt.2021.05.015
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5
Generalized Diophantine 𝑚-tuples
Autor: Anup Dixit, Seoyoung Kim, M. Ram Murty
Publikováno v: Proceedings of the American Mathematical Society. 150:1455-1465
For non-zero integers n n and k ≥ 2 k\geq 2 , a generalized Diophantine m m -tuple with property D k ( n ) D_k(n) is a set of m m positive integers { a 1 , a 2 , … , a m } \{a_1,a_2,\ldots , a_m\} such that a i a j + n a_ia_j + n is a k k -th pow
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3685d915e7dad04d61e0f34e00baf791
https://doi.org/10.1090/proc/15776
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7
A note on values of the Dedekind zeta-function at odd positive integers
Autor: Siddhi Pathak, M. Ram Murty
Publikováno v: International Journal of Number Theory. 17:1753-1764
For an algebraic number field [Formula: see text], let [Formula: see text] be the associated Dedekind zeta-function. It is conjectured that [Formula: see text] is transcendental for any positive integer [Formula: see text]. The only known case of thi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::14343d99b8900abeb2d8ad3bd5f1b517
https://doi.org/10.1142/s1793042121500603
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8
Convolution of values of the Lerch zeta-function
Autor: M. Ram Murty, Siddhi Pathak
Publikováno v: Journal of Number Theory. 217:1-22
We investigate generalizations arising from the identity ζ 2 ( n − 1 , 1 ) = n − 1 2 ζ ( n ) − 1 2 ∑ j = 2 n − 2 ζ ( j ) ζ ( n − j ) , where ζ 2 ( k , 1 ) denotes a double zeta value at ( k , 1 ) , or an Euler-Zagier sum. In particul
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::de0108b4fa21b7c04fd350427493a6ef
https://doi.org/10.1016/j.jnt.2020.01.008
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